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This document provides an overview of differential calculus concepts including: 1. It defines differential calculus as dealing with finding exact derivatives directly from a function's formula without using graphical methods, and as a method that deals with the rate of change of one quantity with respect to another. 2. It introduces key concepts like the derivative, which represents the slope of a function at every point, and covers derivative rules for logarithmic, trigonometric, and other common functions. 3. It explains derivative techniques like the product rule, quotient rule, and squeeze/sandwich theorem, and provides examples of applying these rules to find derivatives of various functions.

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Aplicaciones de las derivadas

The document discusses applications of calculus, specifically derivatives, in the field of electronics and automation. It provides theoretical background on concepts like monotonicity, curvature, inflection points, maxima and minima. It then presents 3 problems involving optimization of electrical circuits and components using derivatives to find maximum power output or minimum resistance. The solutions demonstrate how derivatives can be applied in engineering contexts.

Taller 2

This document discusses applications of calculus in biotechnology and electronics/automation careers. It provides examples of how derivatives are used in areas like optimizing production costs, modeling chemical reaction rates, and analyzing resonant circuits. Three practice problems are developed applying derivatives to optimization problems in biotechnology involving tube volume, fertilizer production, and circuit voltage. The document concludes the derivative is important across fields for optimizing factors like money, materials, labor, and time.

Derivatives and it’s simple applications

The document provides an introduction to derivatives and their applications. It defines the derivative as the rate of change of a function near an input value and discusses how it relates geometrically to the slope of the tangent line. It then gives examples of finding the derivatives of common functions like constants, polynomials, and exponentials. The document also covers basic derivative rules like the constant multiple rule, sum and difference rules, product rule, and quotient rule. Finally, it discusses applications of derivatives in topics like physics, such as calculating velocity and acceleration from a position function.

derivatives math

This document is a presentation submitted by a group of 6 mechanical engineering students to their professor. It contains an introduction, definitions of derivatives, a brief history of derivatives attributed to Newton and Leibniz, and applications of derivatives in various fields such as automobiles, radar guns, business, physics, biology, chemistry, and mathematics. It also provides rules and examples of calculating derivatives using power, multiplication by constant, sum, difference, product, quotient and chain rules.

Lec5_Product & Quotient Rule.ppt

The document discusses differentiation rules for products and quotients of functions. It begins by introducing the product rule, which states that the derivative of a product of two functions f and g is equal to f times the derivative of g plus g times the derivative of f. Next, it derives the quotient rule through a similar process, concluding that the derivative of a quotient of two functions u and v is equal to the denominator v times the derivative of the numerator u minus the numerator u times the derivative of the denominator v, all over the square of the denominator v squared. Several examples are provided to demonstrate applying these rules to find derivatives.

Taller parcial 2 2021

This document discusses applications of calculus, specifically derivatives, in biotechnology engineering. It provides theoretical background on using derivatives to find maximums and minimums. It then presents three examples of applying derivatives to solve practical problems in biotechnology, such as determining when bacterial contamination in a lake reaches a minimum level or when a medication is most effective against bacteria. The document concludes that derivatives are an important tool in fields like physics, chemistry, and biology for measuring how quickly a situation changes.

Taller parcial 2 2021 (1)

This document discusses applications of calculus, specifically derivatives, in biology and biotechnology. It provides theoretical background on using derivatives to find maximum and minimum values of functions. It then presents three examples of using derivatives to solve practical problems in biotechnology, such as modeling bacterial growth over time or the effectiveness of antibiotics. The examples are worked through step-by-step. Overall, the document aims to demonstrate how calculus can be applied to quantitative problems in biotechnology.

Ijciet 10 02_085

The document presents a numerical method for solving a continuous model of the economy expressed as a second-order nonlinear ordinary differential equation (ODE). A new approach called the Modified Taylor Series Approach (MTSA) is used to derive a two-step block method for directly solving the model ODE without first reducing it to a system of first-order equations. The MTSA allows the derivation of the integration coefficients to obtain the block method schemes for solving the ODE at multiple grid points simultaneously. The resulting MTSA-derived two-step block method is then applied to solve the specific second-order nonlinear continuous model of the economy under consideration.

Aplicaciones de las derivadas

The document discusses applications of calculus, specifically derivatives, in the field of electronics and automation. It provides theoretical background on concepts like monotonicity, curvature, inflection points, maxima and minima. It then presents 3 problems involving optimization of electrical circuits and components using derivatives to find maximum power output or minimum resistance. The solutions demonstrate how derivatives can be applied in engineering contexts.

Taller 2

This document discusses applications of calculus in biotechnology and electronics/automation careers. It provides examples of how derivatives are used in areas like optimizing production costs, modeling chemical reaction rates, and analyzing resonant circuits. Three practice problems are developed applying derivatives to optimization problems in biotechnology involving tube volume, fertilizer production, and circuit voltage. The document concludes the derivative is important across fields for optimizing factors like money, materials, labor, and time.

Derivatives and it’s simple applications

The document provides an introduction to derivatives and their applications. It defines the derivative as the rate of change of a function near an input value and discusses how it relates geometrically to the slope of the tangent line. It then gives examples of finding the derivatives of common functions like constants, polynomials, and exponentials. The document also covers basic derivative rules like the constant multiple rule, sum and difference rules, product rule, and quotient rule. Finally, it discusses applications of derivatives in topics like physics, such as calculating velocity and acceleration from a position function.

derivatives math

This document is a presentation submitted by a group of 6 mechanical engineering students to their professor. It contains an introduction, definitions of derivatives, a brief history of derivatives attributed to Newton and Leibniz, and applications of derivatives in various fields such as automobiles, radar guns, business, physics, biology, chemistry, and mathematics. It also provides rules and examples of calculating derivatives using power, multiplication by constant, sum, difference, product, quotient and chain rules.

Lec5_Product & Quotient Rule.ppt

The document discusses differentiation rules for products and quotients of functions. It begins by introducing the product rule, which states that the derivative of a product of two functions f and g is equal to f times the derivative of g plus g times the derivative of f. Next, it derives the quotient rule through a similar process, concluding that the derivative of a quotient of two functions u and v is equal to the denominator v times the derivative of the numerator u minus the numerator u times the derivative of the denominator v, all over the square of the denominator v squared. Several examples are provided to demonstrate applying these rules to find derivatives.

Taller parcial 2 2021

This document discusses applications of calculus, specifically derivatives, in biotechnology engineering. It provides theoretical background on using derivatives to find maximums and minimums. It then presents three examples of applying derivatives to solve practical problems in biotechnology, such as determining when bacterial contamination in a lake reaches a minimum level or when a medication is most effective against bacteria. The document concludes that derivatives are an important tool in fields like physics, chemistry, and biology for measuring how quickly a situation changes.

Taller parcial 2 2021 (1)

This document discusses applications of calculus, specifically derivatives, in biology and biotechnology. It provides theoretical background on using derivatives to find maximum and minimum values of functions. It then presents three examples of using derivatives to solve practical problems in biotechnology, such as modeling bacterial growth over time or the effectiveness of antibiotics. The examples are worked through step-by-step. Overall, the document aims to demonstrate how calculus can be applied to quantitative problems in biotechnology.

Ijciet 10 02_085

The document presents a numerical method for solving a continuous model of the economy expressed as a second-order nonlinear ordinary differential equation (ODE). A new approach called the Modified Taylor Series Approach (MTSA) is used to derive a two-step block method for directly solving the model ODE without first reducing it to a system of first-order equations. The MTSA allows the derivation of the integration coefficients to obtain the block method schemes for solving the ODE at multiple grid points simultaneously. The resulting MTSA-derived two-step block method is then applied to solve the specific second-order nonlinear continuous model of the economy under consideration.

APLICACIONES DE LA DERIVADA EN LA CARRERA DE (Mecánica, Electrónica, Telecomu...

APLICACIONES DE LA DERIVADA EN LA CARRERA DE (Mecánica, Electrónica, Telecomu...WILIAMMAURICIOCAHUAT1

El cálculo diferencial proporciona información sobre el comportamiento de las funciones
matemáticas. Todos estos problemas están incluidos en el alcance de la optimización de funciones y pueden resolverse aplicando cálculoderivativesanditssimpleapplications-160828144729.pptx

The document discusses derivatives and their applications. It begins by introducing derivatives and defining them as the rate of change of a function near an input value. It then discusses rules for finding derivatives such as the constant multiple rule, sum and difference rules, product rule, and quotient rule. Examples are given to illustrate applying these rules. The document also covers composite functions, inverse functions, second derivatives, and applications of derivatives in physics for problems involving velocity and acceleration.

Taller parcial 2

This document discusses the application of calculus derivatives in the career of geospatial technologies. It begins with introducing the concept of the derivative and its calculation. It then discusses the criteria of the first and second derivatives, which can be used to find relative extremes of a function. Three practice exercises are included, relating to optimization problems that can be solved using derivatives. Graphs of the exercises are generated in Geogebra. The document emphasizes how derivatives can be useful for tasks like optimizing processes in geospatial technologies applications.

CALCULUS 2.pptx

This document provides information about Calculus 2, including lessons on indeterminate forms, Rolle's theorem, the mean value theorem, and differentiation of transcendental functions. It defines Rolle's theorem and the mean value theorem, provides examples of applying each, and discusses how Rolle's theorem can be used to find the value of c. It also defines inverse trigonometric functions and their derivatives. The document is for MATH 09 Calculus 2 and includes exercises for students to practice applying the theorems.

Aplicaciones de la derivadas en contabilidad

This document discusses the application of derivatives in accounting. It begins with introducing derivatives and their uses in economics and accounting. Specifically, derivatives represent a useful tool for calculating marginal costs, revenues, profits, and production. The document then presents two examples demonstrating how to use derivatives to find total cost, marginal cost, maximum and minimum prices, and average cost in accounting scenarios. It concludes that derivatives are a 100% useful tool that can simplify complex calculations and processes, with many applications in economics and accounting.

CHAPTER 7.pdfdjdjdjdjdjdjdjsjsjddhhdudsko

The document discusses various methods for developing empirical dynamic models from process input-output data, including linear regression and least squares estimation. Simple linear regression can be used to develop steady-state models relating an output variable y to an input variable u. The least squares approach is introduced to calculate the parameter estimates that minimize the error between measured and predicted output values. Graphical methods are also presented for estimating parameters of first-order and second-order dynamic models by fitting step response data. Finally, the development of discrete-time models from continuous-time models using finite difference approximations is covered.

Multivariate Regression Analysis

The work is done as part of graduate coursework at University of Florida. The author studied master's in environmental engineering sciences during the making of the presentation.

On the discretized algorithm for optimal proportional control problems constr...

This document presents a numerical algorithm for solving optimal control problems with delay differential equations. It discretizes the performance index and delay constraint terms to transform the problem into a large-scale nonlinear programming problem. Simpson's discretization method is used to generate sparse matrices representing the discretized performance index and constraint. The algorithm models the control as proportional to the state, with a constant feedback gain. It analyzes properties of the control operator to guarantee invertibility for use in a Quasi-Newton solver. A numerical example is presented and shown to converge linearly to the analytical solution.

poster2

The document compares several nonlinear and linear stabilization schemes (SUPG, dCG91, Entropy Viscosity) for solving advection-diffusion equations using finite element methods. It presents results of applying the different schemes to stationary and non-stationary test equations, comparing maximum overshoot and undershoot, smearing, and convergence orders. For both linear and quadratic elements, the nonlinear dCG91 and Entropy Viscosity schemes showed smaller overshoots and undershoots than linear schemes like SUPG and no stabilization.

Grupo#5 taller parcial 2

1) The document presents a theoretical analysis of the application of derivatives to problems that may arise in biotechnology and electronics careers.
2) It provides examples of using derivatives to find maximums and minimums, such as maximizing tree growth or signal coverage.
3) The analysis covers the geometric interpretation of derivatives, criteria for finding extremes using the first and second derivatives, and applies these concepts to sample problems involving quadratic functions.

Grupo#5 taller parcial 2

1) The document presents a theoretical analysis of the application of derivatives to problems that may arise in biotechnology and electronics careers.
2) It provides examples of using derivatives to find maximums and minimums, such as maximizing tree growth or signal coverage.
3) The analysis includes the geometric interpretation of derivatives, criteria for using the first and second derivatives to find critical points and determine if they are maximums or minimums.

_lecture_05 F_chain_rule.pdf

1. The document discusses the chain rule for functions of several variables. It provides examples of how to use a "tree diagram" to represent variable dependencies and derive the appropriate chain rule statement.
2. It also gives examples of applying the chain rule to find derivatives like df/dt for functions where variables like x, y, and z depend on t, or to find partial derivatives like ∂f/∂s and ∂f/∂t.
3. One example works through applying the chain rule to find df/dt for the function f(x,y) = x^2 + y^2, where x = t^2 and y = t^4, and verifies the

Calculus

This document discusses derivatives, including their definition, history, real-life applications, and use in various sciences. Derivatives are defined as the instantaneous rate of change of one variable with respect to another and geometrically as the slope of a curve at a point. Their modern conception is credited to Isaac Newton and Gottfried Leibniz in the 17th century. Derivatives have applications in business for estimating profits and losses, and in automobiles to calculate speed and distance traveled from odometer and speedometer readings. They are also used in physics to define velocity and acceleration and in mathematics to study extreme values, mean value theorems, and curve sketching.

Applications of differential equation in Physics and Biology

This document discusses several applications of differential equations in physics. It provides examples of how differential equations are used to model radioactive decay, linear and projectile motion, harmonic oscillations, and more. Solving these differential equations provides insights into the physical processes being modeled and has allowed technological progress across many scientific disciplines. Differential equations are necessary to describe most physical phenomena accurately because real-world relationships are typically non-linear rather than linear.

A Study of Some Systems of Linear and Nonlinear Partial Differential Equation...

In this paper, we introduce the solution of systems of linear and nonlinear partial differential equations subject to the initial conditions by using reduced differential transformation method. The proposed method was applied to three systems of linear and nonlinear partial differential equations, leading to series solutions with components easily computable. The results obtained are indicators of the simplicity and effectiveness of the method

MATH PPT (MC-I)-2.pptx

This document presents reduction formulas for integrals involving trigonometric functions. It introduces reduction formulas and integration by parts, which is used to derive several common reduction formulas. Formulas are provided for integrals of sinx, cosx, tanx, cotx, secx, and cosecx raised to various powers. Examples are included to demonstrate applying the formulas to evaluate definite integrals.

Controller design of inverted pendulum using pole placement and lqr

IJRET : International Journal of Research in Engineering and Technology is an international peer reviewed, online journal published by eSAT Publishing House for the enhancement of research in various disciplines of Engineering and Technology. The aim and scope of the journal is to provide an academic medium and an important reference for the advancement and dissemination of research results that support high-level learning, teaching and research in the fields of Engineering and Technology. We bring together Scientists, Academician, Field Engineers, Scholars and Students of related fields of Engineering and Technology.

Controller design of inverted pendulum using pole placement and lqr

Abstract In this paper modeling of an inverted pendulum is done using Euler – Lagrange energy equation for stabilization of the pendulum. The controller gain is evaluated through state feedback and Linear Quadratic optimal regulator controller techniques and also the results for both the controller are compared. The SFB controller is designed by Pole-Placement technique. An advantage of Quadratic Control method over the pole-placement techniques is that the former provides a systematic way of computing the state feedback control gain matrix.LQR controller is designed by the selection on choosing. The proposed system extends classical inverted pendulum by incorporating two moving masses. The motion of two masses that slide along the horizontal plane is controllable .The results of computer simulation for the system with Linear Quardatic Regulator (LQR) & State Feedback Controllers are shown in section 6. Keyword-Inverted pendulum, Mathematical modeling Linear-quadratic regulator, Response, State Feedback controller, gain formulae.

Ydb ji n8 itc ko6esvj8 kgerx k8tc ko4sx k

This presentation introduces regression analysis. It discusses key contributors to the development of regression analysis. It also provides an overview of different types of regression models, including simple linear regression, multiple regression, and nonlinear regression. Examples are provided to demonstrate calculating regression equations using the method of least squares from raw data and data with means removed.

The Fundamental theorem of calculus

The document discusses the Fundamental Theorem of Calculus, which has two parts. Part 1 establishes the relationship between differentiation and integration, showing that the derivative of an antiderivative is the integrand. Part 2 allows evaluation of a definite integral by evaluating the antiderivative at the bounds. Examples are given of using both parts to evaluate definite integrals. The theorem unified differentiation and integration and was fundamental to the development of calculus.

Uniform and exponential distribution ppt

Engineering

Varsha.pptx

The decibel is a logarithmic unit used to express the ratio of two power levels or amplitudes. It is commonly used to measure sound levels or power in electronic systems. A decibel represents one tenth of a bel, with 0 dB representing a ratio of 1. Power gain in decibels is calculated as 10 times the log of the ratio between output and input power. A doubling of power equals a 3 dB gain. Total system gain is the sum of individual stage gains. Attenuation is expressed as a negative decibel value. Voltage and current gains can also be expressed in decibels by taking the log of the ratio of output to input levels.

APLICACIONES DE LA DERIVADA EN LA CARRERA DE (Mecánica, Electrónica, Telecomu...

APLICACIONES DE LA DERIVADA EN LA CARRERA DE (Mecánica, Electrónica, Telecomu...WILIAMMAURICIOCAHUAT1

El cálculo diferencial proporciona información sobre el comportamiento de las funciones
matemáticas. Todos estos problemas están incluidos en el alcance de la optimización de funciones y pueden resolverse aplicando cálculoderivativesanditssimpleapplications-160828144729.pptx

The document discusses derivatives and their applications. It begins by introducing derivatives and defining them as the rate of change of a function near an input value. It then discusses rules for finding derivatives such as the constant multiple rule, sum and difference rules, product rule, and quotient rule. Examples are given to illustrate applying these rules. The document also covers composite functions, inverse functions, second derivatives, and applications of derivatives in physics for problems involving velocity and acceleration.

Taller parcial 2

This document discusses the application of calculus derivatives in the career of geospatial technologies. It begins with introducing the concept of the derivative and its calculation. It then discusses the criteria of the first and second derivatives, which can be used to find relative extremes of a function. Three practice exercises are included, relating to optimization problems that can be solved using derivatives. Graphs of the exercises are generated in Geogebra. The document emphasizes how derivatives can be useful for tasks like optimizing processes in geospatial technologies applications.

CALCULUS 2.pptx

This document provides information about Calculus 2, including lessons on indeterminate forms, Rolle's theorem, the mean value theorem, and differentiation of transcendental functions. It defines Rolle's theorem and the mean value theorem, provides examples of applying each, and discusses how Rolle's theorem can be used to find the value of c. It also defines inverse trigonometric functions and their derivatives. The document is for MATH 09 Calculus 2 and includes exercises for students to practice applying the theorems.

Aplicaciones de la derivadas en contabilidad

This document discusses the application of derivatives in accounting. It begins with introducing derivatives and their uses in economics and accounting. Specifically, derivatives represent a useful tool for calculating marginal costs, revenues, profits, and production. The document then presents two examples demonstrating how to use derivatives to find total cost, marginal cost, maximum and minimum prices, and average cost in accounting scenarios. It concludes that derivatives are a 100% useful tool that can simplify complex calculations and processes, with many applications in economics and accounting.

CHAPTER 7.pdfdjdjdjdjdjdjdjsjsjddhhdudsko

The document discusses various methods for developing empirical dynamic models from process input-output data, including linear regression and least squares estimation. Simple linear regression can be used to develop steady-state models relating an output variable y to an input variable u. The least squares approach is introduced to calculate the parameter estimates that minimize the error between measured and predicted output values. Graphical methods are also presented for estimating parameters of first-order and second-order dynamic models by fitting step response data. Finally, the development of discrete-time models from continuous-time models using finite difference approximations is covered.

Multivariate Regression Analysis

The work is done as part of graduate coursework at University of Florida. The author studied master's in environmental engineering sciences during the making of the presentation.

On the discretized algorithm for optimal proportional control problems constr...

This document presents a numerical algorithm for solving optimal control problems with delay differential equations. It discretizes the performance index and delay constraint terms to transform the problem into a large-scale nonlinear programming problem. Simpson's discretization method is used to generate sparse matrices representing the discretized performance index and constraint. The algorithm models the control as proportional to the state, with a constant feedback gain. It analyzes properties of the control operator to guarantee invertibility for use in a Quasi-Newton solver. A numerical example is presented and shown to converge linearly to the analytical solution.

poster2

The document compares several nonlinear and linear stabilization schemes (SUPG, dCG91, Entropy Viscosity) for solving advection-diffusion equations using finite element methods. It presents results of applying the different schemes to stationary and non-stationary test equations, comparing maximum overshoot and undershoot, smearing, and convergence orders. For both linear and quadratic elements, the nonlinear dCG91 and Entropy Viscosity schemes showed smaller overshoots and undershoots than linear schemes like SUPG and no stabilization.

Grupo#5 taller parcial 2

1) The document presents a theoretical analysis of the application of derivatives to problems that may arise in biotechnology and electronics careers.
2) It provides examples of using derivatives to find maximums and minimums, such as maximizing tree growth or signal coverage.
3) The analysis covers the geometric interpretation of derivatives, criteria for finding extremes using the first and second derivatives, and applies these concepts to sample problems involving quadratic functions.

Grupo#5 taller parcial 2

1) The document presents a theoretical analysis of the application of derivatives to problems that may arise in biotechnology and electronics careers.
2) It provides examples of using derivatives to find maximums and minimums, such as maximizing tree growth or signal coverage.
3) The analysis includes the geometric interpretation of derivatives, criteria for using the first and second derivatives to find critical points and determine if they are maximums or minimums.

_lecture_05 F_chain_rule.pdf

1. The document discusses the chain rule for functions of several variables. It provides examples of how to use a "tree diagram" to represent variable dependencies and derive the appropriate chain rule statement.
2. It also gives examples of applying the chain rule to find derivatives like df/dt for functions where variables like x, y, and z depend on t, or to find partial derivatives like ∂f/∂s and ∂f/∂t.
3. One example works through applying the chain rule to find df/dt for the function f(x,y) = x^2 + y^2, where x = t^2 and y = t^4, and verifies the

Calculus

This document discusses derivatives, including their definition, history, real-life applications, and use in various sciences. Derivatives are defined as the instantaneous rate of change of one variable with respect to another and geometrically as the slope of a curve at a point. Their modern conception is credited to Isaac Newton and Gottfried Leibniz in the 17th century. Derivatives have applications in business for estimating profits and losses, and in automobiles to calculate speed and distance traveled from odometer and speedometer readings. They are also used in physics to define velocity and acceleration and in mathematics to study extreme values, mean value theorems, and curve sketching.

Applications of differential equation in Physics and Biology

This document discusses several applications of differential equations in physics. It provides examples of how differential equations are used to model radioactive decay, linear and projectile motion, harmonic oscillations, and more. Solving these differential equations provides insights into the physical processes being modeled and has allowed technological progress across many scientific disciplines. Differential equations are necessary to describe most physical phenomena accurately because real-world relationships are typically non-linear rather than linear.

A Study of Some Systems of Linear and Nonlinear Partial Differential Equation...

In this paper, we introduce the solution of systems of linear and nonlinear partial differential equations subject to the initial conditions by using reduced differential transformation method. The proposed method was applied to three systems of linear and nonlinear partial differential equations, leading to series solutions with components easily computable. The results obtained are indicators of the simplicity and effectiveness of the method

MATH PPT (MC-I)-2.pptx

This document presents reduction formulas for integrals involving trigonometric functions. It introduces reduction formulas and integration by parts, which is used to derive several common reduction formulas. Formulas are provided for integrals of sinx, cosx, tanx, cotx, secx, and cosecx raised to various powers. Examples are included to demonstrate applying the formulas to evaluate definite integrals.

Controller design of inverted pendulum using pole placement and lqr

IJRET : International Journal of Research in Engineering and Technology is an international peer reviewed, online journal published by eSAT Publishing House for the enhancement of research in various disciplines of Engineering and Technology. The aim and scope of the journal is to provide an academic medium and an important reference for the advancement and dissemination of research results that support high-level learning, teaching and research in the fields of Engineering and Technology. We bring together Scientists, Academician, Field Engineers, Scholars and Students of related fields of Engineering and Technology.

Controller design of inverted pendulum using pole placement and lqr

Abstract In this paper modeling of an inverted pendulum is done using Euler – Lagrange energy equation for stabilization of the pendulum. The controller gain is evaluated through state feedback and Linear Quadratic optimal regulator controller techniques and also the results for both the controller are compared. The SFB controller is designed by Pole-Placement technique. An advantage of Quadratic Control method over the pole-placement techniques is that the former provides a systematic way of computing the state feedback control gain matrix.LQR controller is designed by the selection on choosing. The proposed system extends classical inverted pendulum by incorporating two moving masses. The motion of two masses that slide along the horizontal plane is controllable .The results of computer simulation for the system with Linear Quardatic Regulator (LQR) & State Feedback Controllers are shown in section 6. Keyword-Inverted pendulum, Mathematical modeling Linear-quadratic regulator, Response, State Feedback controller, gain formulae.

Ydb ji n8 itc ko6esvj8 kgerx k8tc ko4sx k

This presentation introduces regression analysis. It discusses key contributors to the development of regression analysis. It also provides an overview of different types of regression models, including simple linear regression, multiple regression, and nonlinear regression. Examples are provided to demonstrate calculating regression equations using the method of least squares from raw data and data with means removed.

The Fundamental theorem of calculus

The document discusses the Fundamental Theorem of Calculus, which has two parts. Part 1 establishes the relationship between differentiation and integration, showing that the derivative of an antiderivative is the integrand. Part 2 allows evaluation of a definite integral by evaluating the antiderivative at the bounds. Examples are given of using both parts to evaluate definite integrals. The theorem unified differentiation and integration and was fundamental to the development of calculus.

APLICACIONES DE LA DERIVADA EN LA CARRERA DE (Mecánica, Electrónica, Telecomu...

APLICACIONES DE LA DERIVADA EN LA CARRERA DE (Mecánica, Electrónica, Telecomu...

derivativesanditssimpleapplications-160828144729.pptx

derivativesanditssimpleapplications-160828144729.pptx

Taller parcial 2

Taller parcial 2

CALCULUS 2.pptx

CALCULUS 2.pptx

Aplicaciones de la derivadas en contabilidad

Aplicaciones de la derivadas en contabilidad

CHAPTER 7.pdfdjdjdjdjdjdjdjsjsjddhhdudsko

CHAPTER 7.pdfdjdjdjdjdjdjdjsjsjddhhdudsko

Multivariate Regression Analysis

Multivariate Regression Analysis

On the discretized algorithm for optimal proportional control problems constr...

On the discretized algorithm for optimal proportional control problems constr...

poster2

poster2

Grupo#5 taller parcial 2

Grupo#5 taller parcial 2

Grupo#5 taller parcial 2

Grupo#5 taller parcial 2

_lecture_05 F_chain_rule.pdf

_lecture_05 F_chain_rule.pdf

Calculus

Calculus

Applications of differential equation in Physics and Biology

Applications of differential equation in Physics and Biology

A Study of Some Systems of Linear and Nonlinear Partial Differential Equation...

A Study of Some Systems of Linear and Nonlinear Partial Differential Equation...

MATH PPT (MC-I)-2.pptx

MATH PPT (MC-I)-2.pptx

Controller design of inverted pendulum using pole placement and lqr

Controller design of inverted pendulum using pole placement and lqr

Controller design of inverted pendulum using pole placement and lqr

Controller design of inverted pendulum using pole placement and lqr

Ydb ji n8 itc ko6esvj8 kgerx k8tc ko4sx k

Ydb ji n8 itc ko6esvj8 kgerx k8tc ko4sx k

The Fundamental theorem of calculus

The Fundamental theorem of calculus

Uniform and exponential distribution ppt

Engineering

Varsha.pptx

The decibel is a logarithmic unit used to express the ratio of two power levels or amplitudes. It is commonly used to measure sound levels or power in electronic systems. A decibel represents one tenth of a bel, with 0 dB representing a ratio of 1. Power gain in decibels is calculated as 10 times the log of the ratio between output and input power. A doubling of power equals a 3 dB gain. Total system gain is the sum of individual stage gains. Attenuation is expressed as a negative decibel value. Voltage and current gains can also be expressed in decibels by taking the log of the ratio of output to input levels.

mas-150813232504-lva1-app6892.pdf

This document discusses various topics in engineering including electrical engineering, electronics, mechanical/civil engineering, sports and exercise engineering, energy systems engineering, and engineering applications. It provides examples of using different engineering disciplines like modeling traffic volumes, designing airplane landing gear, and developing sun-tracking mirrors for solar power plants.

evs ppt (2).pptx

This document discusses threats to biodiversity such as habitat loss from deforestation, wetland destruction, and fragmentation for agriculture, development, and raw materials. Poaching of wildlife for traditional use, commercial trade, and illegal wildlife products also reduces biodiversity. Man-wildlife conflicts have increased due to competition over limited resources from agricultural expansion, urbanization, and infrastructure development. Solutions proposed include strengthening biodiversity laws, adjusting cropping patterns and compensation schemes, and providing food and water for wildlife.

chemistry ppt modified-1.pptx

The document is a presentation by team 6 on types of batteries. It introduces the team members and provides an agenda that covers an introduction to batteries, types of batteries, advantages of batteries, and usage of batteries. The main types discussed are primary batteries, which are single-use, and secondary batteries, which are rechargeable. Examples of primary batteries include zinc carbon and manganese dioxide cells, while common secondary batteries are nickel-cadmium, lead acid, and lithium-ion. The presentation notes that lithium batteries currently provide the highest energy density and are widely used in electronics like smartphones, tablets, and laptops.

E-Textiles.doc

The document discusses electronic textiles (e-textiles) and their applications for military use. E-textiles are fabrics that can function electrically like electronics while behaving physically like textiles, enabling computing and digital components to be embedded. The document outlines a brief history of e-textiles development from the 1990s to present. It then lists several potential military applications of e-textiles such as sensing tank movements, monitoring homes for chemicals, and helping firefighters navigate smoky buildings.

Pspp_Game_development(final).pptx

The document discusses using Python for game development, including popular game engines like Pygame and Panda3D that can be used to create 2D and 3D games in Python. It provides guidelines for designing a game, such as brainstorming ideas, writing pseudocode, adding assets, and testing. The document also includes code for a sample quiz game in Python to demonstrate how games can be created using the language.

maths diff.calculus ppt.pptx

This document provides an overview of differential calculus concepts including:
1) Differential calculus deals with finding exact derivatives directly from a function's formula without using graphs. It examines the rate of change of one quantity with respect to another.
2) Key concepts covered include derivative rules, the product rule, quotient rule, derivatives of trigonometric functions, and the squeeze/sandwich theorem.
3) Real-life applications of differential calculus include calculating profit/loss, rates of change like temperature, deriving physical equations, and calculating speed or distance over time.

An Introduction to Metaverse.pdf

The document provides an introduction and overview of the metaverse. It defines the metaverse as a virtual space combining technologies like blockchain, VR, AR and digital assets. NFTs can be used to represent real-world assets in the metaverse. The metaverse consists of elements like web 3.0, blockchain protocols, NFTs, games, cryptocurrencies, VR, AR and mixed reality. Various industries are exploring applications of metaverse technologies in areas like finance, gaming, fashion, marketing and more. While still early, the metaverse may eventually become a fully immersive virtual world for all types of digital experiences.

ranjithreddy123-220304124409.pdf

The document discusses the metaverse, which is described as a hypothetical iteration of the Internet as a single, universal virtual world facilitated by virtual and augmented reality headsets. It will consist of a network of 3D virtual worlds focused on social connection. Various companies are working to develop different aspects of the metaverse using technologies like virtual reality, augmented reality, blockchain, and more. Meta (formerly Facebook) is a leading company aiming to create a metaverse platform for users to interact in virtual worlds while maintaining their identity and payment history across worlds.

1.3 Stress & Strain Relationship of Hooke’s Law.ppt

Stress refers to external forces applied to a material, while strain refers to the deformation or change in shape of the material resulting from those stresses. Hooke's law states that within the elastic limit, the amount of strain produced is directly proportional to the stress applied. Different moduli describe the relationship between stress and strain, including Young's modulus, the bulk modulus, and the shear modulus. Stress and strain can be longitudinal, relating to changes in length, or transverse, relating to changes in width or thickness. The elastic limit is the maximum stress a material can withstand without permanent deformation, after which plastic deformation or fracture may occur.

Uniform and exponential distribution ppt

Uniform and exponential distribution ppt

Varsha.pptx

Varsha.pptx

mas-150813232504-lva1-app6892.pdf

mas-150813232504-lva1-app6892.pdf

evs ppt (2).pptx

evs ppt (2).pptx

chemistry ppt modified-1.pptx

chemistry ppt modified-1.pptx

E-Textiles.doc

E-Textiles.doc

Pspp_Game_development(final).pptx

Pspp_Game_development(final).pptx

maths diff.calculus ppt.pptx

maths diff.calculus ppt.pptx

An Introduction to Metaverse.pdf

An Introduction to Metaverse.pdf

ranjithreddy123-220304124409.pdf

ranjithreddy123-220304124409.pdf

1.3 Stress & Strain Relationship of Hooke’s Law.ppt

1.3 Stress & Strain Relationship of Hooke’s Law.ppt

Literature review for prompt engineering of ChatGPT.pptx

prompt engineering for ChatGPT

A high-Speed Communication System is based on the Design of a Bi-NoC Router, ...

The Network on Chip (NoC) has emerged as an effective
solution for intercommunication infrastructure within System on
Chip (SoC) designs, overcoming the limitations of traditional
methods that face significant bottlenecks. However, the complexity
of NoC design presents numerous challenges related to
performance metrics such as scalability, latency, power
consumption, and signal integrity. This project addresses the
issues within the router's memory unit and proposes an enhanced
memory structure. To achieve efficient data transfer, FIFO buffers
are implemented in distributed RAM and virtual channels for
FPGA-based NoC. The project introduces advanced FIFO-based
memory units within the NoC router, assessing their performance
in a Bi-directional NoC (Bi-NoC) configuration. The primary
objective is to reduce the router's workload while enhancing the
FIFO internal structure. To further improve data transfer speed,
a Bi-NoC with a self-configurable intercommunication channel is
suggested. Simulation and synthesis results demonstrate
guaranteed throughput, predictable latency, and equitable
network access, showing significant improvement over previous
designs

Accident detection system project report.pdf

The Rapid growth of technology and infrastructure has made our lives easier. The
advent of technology has also increased the traffic hazards and the road accidents take place
frequently which causes huge loss of life and property because of the poor emergency facilities.
Many lives could have been saved if emergency service could get accident information and
reach in time. Our project will provide an optimum solution to this draw back. A piezo electric
sensor can be used as a crash or rollover detector of the vehicle during and after a crash. With
signals from a piezo electric sensor, a severe accident can be recognized. According to this
project when a vehicle meets with an accident immediately piezo electric sensor will detect the
signal or if a car rolls over. Then with the help of GSM module and GPS module, the location
will be sent to the emergency contact. Then after conforming the location necessary action will
be taken. If the person meets with a small accident or if there is no serious threat to anyone’s
life, then the alert message can be terminated by the driver by a switch provided in order to
avoid wasting the valuable time of the medical rescue team.

Impartiality as per ISO /IEC 17025:2017 Standard

This document provides basic guidelines for imparitallity requirement of ISO 17025. It defines in detial how it is met and wiudhwdih jdhsjdhwudjwkdbjwkdddddddddddkkkkkkkkkkkkkkkkkkkkkkkwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwioiiiiiiiiiiiii uwwwwwwwwwwwwwwwwhe wiqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqq gbbbbbbbbbbbbb owdjjjjjjjjjjjjjjjjjjjj widhi owqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqq uwdhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhwqiiiiiiiiiiiiiiiiiiiiiiiiiiiiw0pooooojjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjj whhhhhhhhhhh wheeeeeeee wihieiiiiii wihe
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一比一原版(psu学位证书)美国匹兹堡州立大学毕业证如何办理

原版一模一样【微信：741003700 】【(psu学位证书)美国匹兹堡州立大学毕业证成绩单】【微信：741003700 】学位证，留信认证（真实可查，永久存档）原件一模一样纸张工艺/offer、雅思、外壳等材料/诚信可靠,可直接看成品样本，帮您解决无法毕业带来的各种难题！外壳，原版制作，诚信可靠，可直接看成品样本。行业标杆！精益求精，诚心合作，真诚制作！多年品质 ,按需精细制作，24小时接单,全套进口原装设备。十五年致力于帮助留学生解决难题，包您满意。
本公司拥有海外各大学样板无数，能完美还原。
1:1完美还原海外各大学毕业材料上的工艺：水印，阴影底纹，钢印LOGO烫金烫银，LOGO烫金烫银复合重叠。文字图案浮雕、激光镭射、紫外荧光、温感、复印防伪等防伪工艺。材料咨询办理、认证咨询办理请加学历顾问Q/微741003700
【主营项目】
一.毕业证【q微741003700】成绩单、使馆认证、教育部认证、雅思托福成绩单、学生卡等！
二.真实使馆公证(即留学回国人员证明,不成功不收费)
三.真实教育部学历学位认证（教育部存档！教育部留服网站永久可查）
四.办理各国各大学文凭(一对一专业服务,可全程监控跟踪进度)
如果您处于以下几种情况：
◇在校期间，因各种原因未能顺利毕业……拿不到官方毕业证【q/微741003700】
◇面对父母的压力，希望尽快拿到；
◇不清楚认证流程以及材料该如何准备；
◇回国时间很长，忘记办理；
◇回国马上就要找工作，办给用人单位看；
◇企事业单位必须要求办理的
◇需要报考公务员、购买免税车、落转户口
◇申请留学生创业基金
留信网认证的作用:
1:该专业认证可证明留学生真实身份
2:同时对留学生所学专业登记给予评定
3:国家专业人才认证中心颁发入库证书
4:这个认证书并且可以归档倒地方
5:凡事获得留信网入网的信息将会逐步更新到个人身份内，将在公安局网内查询个人身份证信息后，同步读取人才网入库信息
6:个人职称评审加20分
7:个人信誉贷款加10分
8:在国家人才网主办的国家网络招聘大会中纳入资料，供国家高端企业选择人才
办理(psu学位证书)美国匹兹堡州立大学毕业证【微信：741003700 】外观非常简单，由纸质材料制成，上面印有校徽、校名、毕业生姓名、专业等信息。
办理(psu学位证书)美国匹兹堡州立大学毕业证【微信：741003700 】格式相对统一，各专业都有相应的模板。通常包括以下部分：
校徽：象征着学校的荣誉和传承。
校名:学校英文全称
授予学位：本部分将注明获得的具体学位名称。
毕业生姓名：这是最重要的信息之一，标志着该证书是由特定人员获得的。
颁发日期：这是毕业正式生效的时间，也代表着毕业生学业的结束。
其他信息：根据不同的专业和学位，可能会有一些特定的信息或章节。
办理(psu学位证书)美国匹兹堡州立大学毕业证【微信：741003700 】价值很高，需要妥善保管。一般来说，应放置在安全、干燥、防潮的地方，避免长时间暴露在阳光下。如需使用，最好使用复印件而不是原件，以免丢失。
综上所述，办理(psu学位证书)美国匹兹堡州立大学毕业证【微信：741003700 】是证明身份和学历的高价值文件。外观简单庄重，格式统一，包括重要的个人信息和发布日期。对持有人来说，妥善保管是非常重要的。

AN INTRODUCTION OF AI & SEARCHING TECHIQUES

Useful for engineering students

comptia-security-sy0-701-exam-objectives-(5-0).pdf

Comptia security+

Prediction of Electrical Energy Efficiency Using Information on Consumer's Ac...

Energy efficiency has been important since the latter part of the last century. The main object of this survey is to determine the energy efficiency knowledge among consumers. Two separate districts in Bangladesh are selected to conduct the survey on households and showrooms about the energy and seller also. The survey uses the data to find some regression equations from which it is easy to predict energy efficiency knowledge. The data is analyzed and calculated based on five important criteria. The initial target was to find some factors that help predict a person's energy efficiency knowledge. From the survey, it is found that the energy efficiency awareness among the people of our country is very low. Relationships between household energy use behaviors are estimated using a unique dataset of about 40 households and 20 showrooms in Bangladesh's Chapainawabganj and Bagerhat districts. Knowledge of energy consumption and energy efficiency technology options is found to be associated with household use of energy conservation practices. Household characteristics also influence household energy use behavior. Younger household cohorts are more likely to adopt energy-efficient technologies and energy conservation practices and place primary importance on energy saving for environmental reasons. Education also influences attitudes toward energy conservation in Bangladesh. Low-education households indicate they primarily save electricity for the environment while high-education households indicate they are motivated by environmental concerns.

Call Girls Chennai +91-8824825030 Vip Call Girls Chennai

Call Girls Chennai +91-8824825030 Vip Call Girls Chennai

FULL STACK PROGRAMMING - Both Front End and Back End

This ppt gives details about Full Stack Programming and its basics.

一比一原版(USF毕业证)旧金山大学毕业证如何办理

原件一模一样【微信：95270640】【旧金山大学毕业证USF学位证成绩单】【微信：95270640】（留信学历认证永久存档查询）采用学校原版纸张、特殊工艺完全按照原版一比一制作（包括：隐形水印，阴影底纹，钢印LOGO烫金烫银，LOGO烫金烫银复合重叠，文字图案浮雕，激光镭射，紫外荧光，温感，复印防伪）行业标杆！精益求精，诚心合作，真诚制作！多年品质 ,按需精细制作，24小时接单,全套进口原装设备，十五年致力于帮助留学生解决难题，业务范围有加拿大、英国、澳洲、韩国、美国、新加坡，新西兰等学历材料，包您满意。
【业务选择办理准则】
一、工作未确定，回国需先给父母、亲戚朋友看下文凭的情况，办理一份就读学校的毕业证【微信：95270640】文凭即可
二、回国进私企、外企、自己做生意的情况，这些单位是不查询毕业证真伪的，而且国内没有渠道去查询国外文凭的真假，也不需要提供真实教育部认证。鉴于此，办理一份毕业证【微信：95270640】即可
三、进国企，银行，事业单位，考公务员等等，这些单位是必需要提供真实教育部认证的，办理教育部认证所需资料众多且烦琐，所有材料您都必须提供原件，我们凭借丰富的经验，快捷的绿色通道帮您快速整合材料，让您少走弯路。
留信网认证的作用:
1:该专业认证可证明留学生真实身份【微信：95270640】
2:同时对留学生所学专业登记给予评定
3:国家专业人才认证中心颁发入库证书
4:这个认证书并且可以归档倒地方
5:凡事获得留信网入网的信息将会逐步更新到个人身份内，将在公安局网内查询个人身份证信息后，同步读取人才网入库信息
6:个人职称评审加20分
7:个人信誉贷款加10分
8:在国家人才网主办的国家网络招聘大会中纳入资料，供国家高端企业选择人才
→ 【关于价格问题（保证一手价格）
我们所定的价格是非常合理的，而且我们现在做得单子大多数都是代理和回头客户介绍的所以一般现在有新的单子 我给客户的都是第一手的代理价格，因为我想坦诚对待大家 不想跟大家在价格方面浪费时间
对于老客户或者被老客户介绍过来的朋友，我们都会适当给一些优惠。
选择实体注册公司办理，更放心，更安全！我们的承诺：可来公司面谈，可签订合同，会陪同客户一起到教育部认证窗口递交认证材料，客户在教育部官方认证查询网站查询到认证通过结果后付款，不成功不收费！
办理旧金山大学毕业证毕业证学位证USF学位证【微信：95270640 】外观非常精致，由特殊纸质材料制成，上面印有校徽、校名、毕业生姓名、专业等信息。
办理旧金山大学毕业证USF学位证毕业证学位证【微信：95270640 】格式相对统一，各专业都有相应的模板。通常包括以下部分：
校徽：象征着学校的荣誉和传承。
校名:学校英文全称
授予学位：本部分将注明获得的具体学位名称。
毕业生姓名：这是最重要的信息之一，标志着该证书是由特定人员获得的。
颁发日期：这是毕业正式生效的时间，也代表着毕业生学业的结束。
其他信息：根据不同的专业和学位，可能会有一些特定的信息或章节。
办理旧金山大学毕业证毕业证学位证USF学位证【微信：95270640 】价值很高，需要妥善保管。一般来说，应放置在安全、干燥、防潮的地方，避免长时间暴露在阳光下。如需使用，最好使用复印件而不是原件，以免丢失。
综上所述，办理旧金山大学毕业证毕业证学位证USF学位证【微信：95270640 】是证明身份和学历的高价值文件。外观简单庄重，格式统一，包括重要的个人信息和发布日期。对持有人来说，妥善保管是非常重要的。

Open Channel Flow: fluid flow with a free surface

Open Channel Flow: This topic focuses on fluid flow with a free surface, such as in rivers, canals, and drainage ditches. Key concepts include the classification of flow types (steady vs. unsteady, uniform vs. non-uniform), hydraulic radius, flow resistance, Manning's equation, critical flow conditions, and energy and momentum principles. It also covers flow measurement techniques, gradually varied flow analysis, and the design of open channels. Understanding these principles is vital for effective water resource management and engineering applications.

Ericsson LTE Throughput Troubleshooting Techniques.ppt

Ericsson LTE Throughput Troubleshooting Techniques

Blood finder application project report (1).pdf

Blood Finder is an emergency time app where a user can search for the blood banks as
well as the registered blood donors around Mumbai. This application also provide an
opportunity for the user of this application to become a registered donor for this user have
to enroll for the donor request from the application itself. If the admin wish to make user
a registered donor, with some of the formalities with the organization it can be done.
Specialization of this application is that the user will not have to register on sign-in for
searching the blood banks and blood donors it can be just done by installing the
application to the mobile.
The purpose of making this application is to save the user’s time for searching blood of
needed blood group during the time of the emergency.
This is an android application developed in Java and XML with the connectivity of
SQLite database. This application will provide most of basic functionality required for an
emergency time application. All the details of Blood banks and Blood donors are stored
in the database i.e. SQLite.
This application allowed the user to get all the information regarding blood banks and
blood donors such as Name, Number, Address, Blood Group, rather than searching it on
the different websites and wasting the precious time. This application is effective and
user friendly.

Tools & Techniques for Commissioning and Maintaining PV Systems W-Animations ...

Join us for this solutions-based webinar on the tools and techniques for commissioning and maintaining PV Systems. In this session, we'll review the process of building and maintaining a solar array, starting with installation and commissioning, then reviewing operations and maintenance of the system. This course will review insulation resistance testing, I-V curve testing, earth-bond continuity, ground resistance testing, performance tests, visual inspections, ground and arc fault testing procedures, and power quality analysis.
Fluke Solar Application Specialist Will White is presenting on this engaging topic:
Will has worked in the renewable energy industry since 2005, first as an installer for a small east coast solar integrator before adding sales, design, and project management to his skillset. In 2022, Will joined Fluke as a solar application specialist, where he supports their renewable energy testing equipment like IV-curve tracers, electrical meters, and thermal imaging cameras. Experienced in wind power, solar thermal, energy storage, and all scales of PV, Will has primarily focused on residential and small commercial systems. He is passionate about implementing high-quality, code-compliant installation techniques.

OOPS_Lab_Manual - programs using C++ programming language

This manual contains programs on object oriented programming concepts using C++ language.

Digital Twins Computer Networking Paper Presentation.pptx

A Digital Twin in computer networking is a virtual representation of a physical network, used to simulate, analyze, and optimize network performance and reliability. It leverages real-time data to enhance network management, predict issues, and improve decision-making processes.

Call For Paper -3rd International Conference on Artificial Intelligence Advan...

* Registration is currently open *
Call for Research Papers!!!
Free – Extended Paper will be published as free of cost.
3rd International Conference on Artificial Intelligence Advances (AIAD 2024)
July 13 ~ 14, 2024, Virtual Conference
Webpage URL: https://aiad2024.org/index
Submission Deadline: June 22, 2024
Submission System URL:
https://aiad2024.org/submission/index.php
Contact Us:
Here's where you can reach us : aiad@aiad2024.org (or) aiadconference@yahoo.com
WikiCFP URL: http://wikicfp.com/cfp/servlet/event.showcfp?eventid=180509©ownerid=171656
#artificialintelligence #softcomputing #machinelearning #technology #datascience #python #deeplearning #tech #robotics #innovation #bigdata #coding #iot #computerscience #data #dataanalytics #engineering #robot #datascientist #software #automation #analytics #ml #pythonprogramming #programmer #digitaltransformation #developer #promptengineering #generativeai #genai #chatgpt #artificial #intelligence #datamining #networkscommunications #robotics #callforsubmission #submissionsopen #deadline #opencall #virtual #conference

Flow Through Pipe: the analysis of fluid flow within pipes

Flow Through Pipe: This topic covers the analysis of fluid flow within pipes, focusing on laminar and turbulent flow regimes, continuity equation, Bernoulli's equation, Darcy-Weisbach equation, head loss due to friction, and minor losses from fittings and bends. Understanding these principles is crucial for efficient pipe system design and analysis.

Literature review for prompt engineering of ChatGPT.pptx

Literature review for prompt engineering of ChatGPT.pptx

A high-Speed Communication System is based on the Design of a Bi-NoC Router, ...

A high-Speed Communication System is based on the Design of a Bi-NoC Router, ...

Accident detection system project report.pdf

Accident detection system project report.pdf

Impartiality as per ISO /IEC 17025:2017 Standard

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- 1. DIFFERENTIAL CALCULUS BATCH-6: 1. VANATHI.S 2. VARSHINIE.A.L 3. SRIRAM.R 4.THIRUNAVUKARASU.S 5. VISHAL.S 6. SURANJANA.N.S >>> ENGINEERING MATHEMATICS
- 2. TABLE OF CONTENTS 1. INTRODUCTION 2. BAKING ANALOGY 3. DIFFERENTIAL CALCULUS 4. DERIVATIVE RULES 5. PRODUCT RULE 6. QUOTIENT RULE 7. DERIVATIVE OF TRIGNOMETRIC FUCTIONS 8. THE SANDWICH/SQUEEZE THEOREM 9. CONCLUSIONS
- 3. INTRODUCTION >> Differential calculus is a procedure for finding the exact derivative directly from the formula of the function without having to use graphical methods. >> It is a method that deals with the rate of change of one quantity with respect to another.
- 4. BAKING ANALOGY >> In this we will focus on the formulas and rules for both differentiation, the method by which we calculate the derivative of a function. >> Before we dive into formulas and rules for differentiation , let’s look at some notations for differentiation. >> we can write f(X) as d/dx f(x),f’(x),df(x) and Df(x) We read these as d by dx of f of x, f’ prime of f of x, df of x and cap Df of x.
- 5. DIFFERENTIAL CALCULUS >> Differential calculus is the area of calculus dealing with cutting something into smaller pieces in order to analyze how it changes. >> The primary operation of differential calculus is the derivative. The derivative of a function given the infinitesimal change of the function with respect to one of it’s variable. >> The derivative represents the slope of function at every point it is defined.
- 6. DERIVATIVE RULES LOGARITHMIC FUNCTIONS (d/dx): 1. e^x = e^x 2. a^x = a^x ln(a) 3. Ln(x) = 1/x 4. Log a ^x = 1/xln(a) TRIGONOMETRIC FUNCTIONS (d/dx): 1. Sin(x)= cos(x) 2. Cos(x)= -sin(x) 3. Tan(x)= sec^2(x) 4. Cosec(x)= - cosec(x) cot(x) 5. Sec(x)= sec(x) tan(x) 6. Cot(x)= -cosec^2(x)
- 7. Real life applications of differential calculus: >> Calculation of profit or loss with respect to buissness using graphs. >> Calculation of rate of change of temperature. >> To derive many physical equations. >> Calculation of speed or distance covered such as miles per hour , km/hour.
- 8. PRODUCT RULE >> The derivative of the product of two differentiable functions is equal to the addition of the first multiplied by the derivative of the second and the second function multiplied by the derivative of the first function. APPLICATION: 1. The product rule is used in calculus, when you are asked to take derivative of the function. 2. It makes calculation clean and easier to solve. 3. It is used to differentiate product of two or more functions.
- 9. DERIVATIVE PRODUCT RULE If u and v are differentiable at x, then so is their product uv and d/dx(u.v) = u (dv/dx) +v (du/dx) Example: Q) Find the derivative of y=(x^2 +1)(x^3+3) Answer: d/dx(x^2+1)(x^3+3)=(x^2+1)(3x^2)+ (2x)(x^3+3) =3x^4+3x^2+2x^4+6x =5x^4+3x^2+6x The particular product can be differentiated as well by multiplying out the original expression for y and differentiating the resulting polynomial. Y=(x^2+1)(x^3+3)=x^5+x^3+3x^2+3 dy/dx=5x^4+3x^2+6x This is in agreement with our first calculation.
- 10. QUOTIENT RULE >> A quotient rule is similar to product rule. A quotient rule is stated as the ratio of the quantity of the denominator times the derivative of the numerator function minus the numerator times the derivative of the denominator function to the square of the denominator function. APPLICATION: 1. It is used for finding the derivative of a quotient of functions. 2. It is used for extend the power rule to functions with negative exponents. 3. To combine differentiation rule to find the derivative of a polynomial or rational function.
- 11. DERIVATIVE QUOTIENT RULE If u and v are differentiable at x and if v(x) is not equal to 0 then the quotient u/v is differentiable at x and d/dx(u/v)= v (du/dx) – u (dv/dx)/ v^2 Example: Q)Find the derivative of y=(t^2-1)/(t^3+1) Answer: u=t^2-1 v=t^3+1 dy/dt=(t^3+1).2t- (t^2-1).3t^2/(t^3+1)^2 =2t^4+2t-3t^4+3t^2/(t^3+1)^2 =-t^4+3t^2+2t/(t^3+1)^2
- 12. SQUEEZE THEOREM >> In calculus the squeeze theorem is a theorem regarding the limit of a function that is trapped between two other function. >> The squeeze theorem is used in calculus and mathematical analysis typically to confirm the limit of a function via comparison with other function whose limits are known. >> If the right hand limits and left hand limits do not equal eachother we cannot utilize squeeze theorem. If f(x)<g(x)<h(x) when x is near a If limxa f(x)=limxa h(x)=L then limxa g(x)=L.
- 13. WHY IS IT CALLED SANDWICH THEOREM? >> The squeeze theorem is also called as sandwich or pinching theorem. It is a way to find the limit of one function if we know the limits of two functions it is “sandwiched” between. APPLICATION: It is used for calculating the limit of a given trigonometric funtions.
- 14. EXAMPLE OF SANDWICH THEOREM Q) Using sandwich theorem show that: limx0 x^2 sin (1/x)=0 ANSWER: Let -1<sin(1/x)<1 Multiply by x^2 -x^2<x^2 sin 1/x <x^2 Lim x0 (–x^2)<lim x0 x^2 sin (1/x)< lim x0 x^2 Lim x->0 (-x^2)=-0=0 Lim x x^2=0=0 Lim x0 (-x^2)= lim x (x^2) Lim x0 x^2 sin (1/x)=0
- 15. THANK YOU!