this is the ppt on application of integrals, which includes-area between the two curves , volume by slicing , disk method , washer method, and volume by cylindrical shells,.
this is made by dhrumil patel and harshid panchal.
this is the ppt on application of integrals, which includes-area between the two curves , volume by slicing , disk method , washer method, and volume by cylindrical shells,.
this is made by dhrumil patel and harshid panchal.
Application of definite integrals,we will explore some of the many application of definite integral by using it to calculate areas between two curves, volumes, length of curves, and several other application.
Lesson 15: Exponential Growth and Decay (Section 021 slides)Matthew Leingang
Many problems in nature are expressible in terms of a certain differential equation that has a solution in terms of exponential functions. We look at the equation in general and some fun applications, including radioactivity, cooling, and interest.
Application of definite integrals,we will explore some of the many application of definite integral by using it to calculate areas between two curves, volumes, length of curves, and several other application.
Lesson 15: Exponential Growth and Decay (Section 021 slides)Matthew Leingang
Many problems in nature are expressible in terms of a certain differential equation that has a solution in terms of exponential functions. We look at the equation in general and some fun applications, including radioactivity, cooling, and interest.
Among the disciplines that utilize calculus include physics, engineering, economics, statistics, and medicine. It is used to create mathematical models in order to arrive into an optimal solution. For example, in physics, calculus is used in a lot of its concepts.
After watching this ppt you will get answers of the questions like...
1) What does it mean?
2) What we study in calculus?
3) Who invented it?
4) What was the need to invent it?
and many more...
You will also learn about the basic difference between discrete and continuous.
And many real life and cool applications of calculus....
This presentation explains how the differentiation is applied to identify increasing and decreasing functions,identifying the nature of stationary points and also finding maximum or minimum values.
This is a presentation for a teach lecture that explains what slope is and the three methods you can use to find it. Also includes a Khan Academy video explaining slope.
Mathematics (from Greek μάθημα máthēma, “knowledge, study, learning”) is the study of topics such as quantity (numbers), structure, space, and change. There is a range of views among mathematicians and philosophers as to the exact scope and definition of mathematics
Mathematics (from Greek μάθημα máthēma, “knowledge, study, learning”) is the study of topics such as quantity (numbers), structure, space, and change. There is a range of views among mathematicians and philosophers as to the exact scope and definition of mathematics
The following presentation is an introduction to the Algebraic Methods – part one for level 4 Mathematics. This resources is a part of the 2009/2010 Engineering (foundation degree, BEng and HN) courses from University of Wales Newport (course codes H101, H691, H620, HH37 and 001H). This resource is a part of the core modules for the full time 1st year undergraduate programme.
The BEng & Foundation Degrees and HNC/D in Engineering are designed to meet the needs of employers by placing the emphasis on the theoretical, practical and vocational aspects of engineering within the workplace and beyond. Engineering is becoming more high profile, and therefore more in demand as a skill set, in today’s high-tech world. This course has been designed to provide you with knowledge, skills and practical experience encountered in everyday engineering environments.
CFD Simulation of By-pass Flow in a HRSG module by R&R Consult.pptxR&R Consult
CFD analysis is incredibly effective at solving mysteries and improving the performance of complex systems!
Here's a great example: At a large natural gas-fired power plant, where they use waste heat to generate steam and energy, they were puzzled that their boiler wasn't producing as much steam as expected.
R&R and Tetra Engineering Group Inc. were asked to solve the issue with reduced steam production.
An inspection had shown that a significant amount of hot flue gas was bypassing the boiler tubes, where the heat was supposed to be transferred.
R&R Consult conducted a CFD analysis, which revealed that 6.3% of the flue gas was bypassing the boiler tubes without transferring heat. The analysis also showed that the flue gas was instead being directed along the sides of the boiler and between the modules that were supposed to capture the heat. This was the cause of the reduced performance.
Based on our results, Tetra Engineering installed covering plates to reduce the bypass flow. This improved the boiler's performance and increased electricity production.
It is always satisfying when we can help solve complex challenges like this. Do your systems also need a check-up or optimization? Give us a call!
Work done in cooperation with James Malloy and David Moelling from Tetra Engineering.
More examples of our work https://www.r-r-consult.dk/en/cases-en/
Final project report on grocery store management system..pdfKamal Acharya
In today’s fast-changing business environment, it’s extremely important to be able to respond to client needs in the most effective and timely manner. If your customers wish to see your business online and have instant access to your products or services.
Online Grocery Store is an e-commerce website, which retails various grocery products. This project allows viewing various products available enables registered users to purchase desired products instantly using Paytm, UPI payment processor (Instant Pay) and also can place order by using Cash on Delivery (Pay Later) option. This project provides an easy access to Administrators and Managers to view orders placed using Pay Later and Instant Pay options.
In order to develop an e-commerce website, a number of Technologies must be studied and understood. These include multi-tiered architecture, server and client-side scripting techniques, implementation technologies, programming language (such as PHP, HTML, CSS, JavaScript) and MySQL relational databases. This is a project with the objective to develop a basic website where a consumer is provided with a shopping cart website and also to know about the technologies used to develop such a website.
This document will discuss each of the underlying technologies to create and implement an e- commerce website.
Sachpazis:Terzaghi Bearing Capacity Estimation in simple terms with Calculati...Dr.Costas Sachpazis
Terzaghi's soil bearing capacity theory, developed by Karl Terzaghi, is a fundamental principle in geotechnical engineering used to determine the bearing capacity of shallow foundations. This theory provides a method to calculate the ultimate bearing capacity of soil, which is the maximum load per unit area that the soil can support without undergoing shear failure. The Calculation HTML Code included.
Welcome to WIPAC Monthly the magazine brought to you by the LinkedIn Group Water Industry Process Automation & Control.
In this month's edition, along with this month's industry news to celebrate the 13 years since the group was created we have articles including
A case study of the used of Advanced Process Control at the Wastewater Treatment works at Lleida in Spain
A look back on an article on smart wastewater networks in order to see how the industry has measured up in the interim around the adoption of Digital Transformation in the Water Industry.
Saudi Arabia stands as a titan in the global energy landscape, renowned for its abundant oil and gas resources. It's the largest exporter of petroleum and holds some of the world's most significant reserves. Let's delve into the top 10 oil and gas projects shaping Saudi Arabia's energy future in 2024.
Immunizing Image Classifiers Against Localized Adversary Attacksgerogepatton
This paper addresses the vulnerability of deep learning models, particularly convolutional neural networks
(CNN)s, to adversarial attacks and presents a proactive training technique designed to counter them. We
introduce a novel volumization algorithm, which transforms 2D images into 3D volumetric representations.
When combined with 3D convolution and deep curriculum learning optimization (CLO), itsignificantly improves
the immunity of models against localized universal attacks by up to 40%. We evaluate our proposed approach
using contemporary CNN architectures and the modified Canadian Institute for Advanced Research (CIFAR-10
and CIFAR-100) and ImageNet Large Scale Visual Recognition Challenge (ILSVRC12) datasets, showcasing
accuracy improvements over previous techniques. The results indicate that the combination of the volumetric
input and curriculum learning holds significant promise for mitigating adversarial attacks without necessitating
adversary training.
2. Prepared by
Name
ID
• Safia Murshida 141-23-3755
• Md. Habibur Rahman 141-23-3756
• Mehedi Hasan 162-23-4731
• Abul Hasnat 162-23-4758
• Md. Nazmul Hasan 162-23-4706
• Zahed Hossain 162-23-4707
• Md. Omar Faruk 162-23-4704
Department of Textile Engineering
Section : (B)
Daffodil International University
3. First of all, just what do we mean by “area enclosed by”. ThisFirst of all, just what do we mean by “area enclosed by”. This
means that the region we’re interested in must have one of the twomeans that the region we’re interested in must have one of the two
curves on every boundary of the region. So, here is a graph of the twocurves on every boundary of the region. So, here is a graph of the two
functions with the enclosed region shaded.functions with the enclosed region shaded.
Also from this graph it’s clear that the upper function will be dependent on the
range of x’s that we use. Because of this you should always sketch of a graph of
the region. Without a sketch it’s often easy to mistake which of the two functions
is the larger. In this case most would probably say that Y=X2
y= x2
is the upper
function and they would be right for the vast majority of the x’s. However, in this
case it is the lower of the two functions.
The limits of integration for this will be the intersection Points of the two curves. In
this case it’s pretty easy to see that they will intersect at X=0, x=0 and X=1, x=1
so these are the limits of integration.
4. In this case the last two pieces of information, X=2
x=2 and the y-axis, tell us the right and left boundaries of
the region. Also, recall that the y-axis is given by the
line X=0 x=0 .Here is the graph with the enclosed region
shaded in..
Here, unlike the first example, the two curves don’t meet.
Instead we rely on two vertical lines to bound the left and
right sides of the region as we noted above.
5. First, let’s get a graph of the bounding region and a graph of theFirst, let’s get a graph of the bounding region and a graph of the
object. Remember that we only want the portion of the boundingobject. Remember that we only want the portion of the bounding
region that lies in the first quadrant. There is a portion of the boundingregion that lies in the first quadrant. There is a portion of the bounding
region that is in the third quadrant as well, but we don't want that forregion that is in the third quadrant as well, but we don't want that for
this problem.this problem.
There are a couple of things to note with this problem. First, we are
only looking for the volume of the “walls” of this solid, not the
complete interior as we did in the last example.
6. The first thing to do is get a sketch of the bounding region and theThe first thing to do is get a sketch of the bounding region and the
solid obtained by rotating the region about the x-axis. Here are both ofsolid obtained by rotating the region about the x-axis. Here are both of
these sketches.these sketches.
Okay, to get a cross section we cut the solid at any x. Below are a
couple of sketches showing a typical cross section. The sketch on
the right shows a cut away of the object with a typical cross section
without the caps. The sketch on the left shows just the curve we’re
rotating as well as its mirror image along the bottom of the solid.
7. In this section we will start looking at the volume of a solid of
revolution. We should first define just what a solid of revolution is. To
get a solid of revolution we start out with a function, Y=f(x) y= f(x) ,
on an interval [a,b].
We then rotate this curve about a given axis to get the surface of the
solid of revolution. For purposes of this discussion let’s rotate the
curve about the x-axis, although it could be any vertical or horizontal
axis. Doing this for the curve above gives the following three
dimensional region.
8. In this section we are going to look at finding the areaIn this section we are going to look at finding the area
between two curves. There are actually two cases that webetween two curves. There are actually two cases that we
are going to be looking at.are going to be looking at.
In the first case we want to determine the area between
y=f(x) y=f(x) and y=g(x) y=g(x) on the interval [a,b].
We are also going to assume that f(x)>g(x) f(x) >g(x).
Take a look at the following sketch to get an idea of what
we’re initially going to look at.
9. The second case is almost identical to the first case.
Here we are going to determine the area between x=f(y)
x= f(y) and x= g(y) x=g(y) on the interval [c,d] with
f(y)>g(y) f(y)>g(y) ..
However, it is sometimes easy to forget that these always
require the first function to be the larger of the two
functions. So, instead of these formulas we will instead
use the following “word” formulas to make sure that we
remember that the area is always the “larger” function
minus the “smaller” function.