This document outlines the key steps for curve sketching:
(1) Determine any symmetries based on even/odd powers of x and y. Symmetries may exist about the x-axis, y-axis, in opposite quadrants, or about the line y=x.
(2) Check if the curve passes through the origin by looking for constant terms.
(3) Find the points of intersection with the x-axis and y-axis by setting y=0 and x=0.
(4) Identify any special points where the tangent is parallel to the x-axis or y-axis.
(5) Determine the region bounded by the minimum and maximum x-values
Learn about different polar graphs, including limaçons (convex, dimpled, looped), lemniscates, rose curves, and cardioids. View compare and contrast between the 4 different types of polar graphs, and view my impressions on this final unit in pre-calculus honors.
Learn about different polar graphs, including limaçons (convex, dimpled, looped), lemniscates, rose curves, and cardioids. View compare and contrast between the 4 different types of polar graphs, and view my impressions on this final unit in pre-calculus honors.
The branch of mathematics which deals with location of objects in 2-D (dimensional) plane is called coordinate geometry. Need to present your work in most impressive & informative manner i.e. through Power Point Presentation call us at skype Id: kumar_sukh79 or mail us: clintech2011@gmail.com for using my service.
The branch of mathematics which deals with location of objects in 2-D (dimensional) plane is called coordinate geometry. Need to present your work in most impressive & informative manner i.e. through Power Point Presentation call us at skype Id: kumar_sukh79 or mail us: clintech2011@gmail.com for using my service.
June 3, 2024 Anti-Semitism Letter Sent to MIT President Kornbluth and MIT Cor...Levi Shapiro
Letter from the Congress of the United States regarding Anti-Semitism sent June 3rd to MIT President Sally Kornbluth, MIT Corp Chair, Mark Gorenberg
Dear Dr. Kornbluth and Mr. Gorenberg,
The US House of Representatives is deeply concerned by ongoing and pervasive acts of antisemitic
harassment and intimidation at the Massachusetts Institute of Technology (MIT). Failing to act decisively to ensure a safe learning environment for all students would be a grave dereliction of your responsibilities as President of MIT and Chair of the MIT Corporation.
This Congress will not stand idly by and allow an environment hostile to Jewish students to persist. The House believes that your institution is in violation of Title VI of the Civil Rights Act, and the inability or
unwillingness to rectify this violation through action requires accountability.
Postsecondary education is a unique opportunity for students to learn and have their ideas and beliefs challenged. However, universities receiving hundreds of millions of federal funds annually have denied
students that opportunity and have been hijacked to become venues for the promotion of terrorism, antisemitic harassment and intimidation, unlawful encampments, and in some cases, assaults and riots.
The House of Representatives will not countenance the use of federal funds to indoctrinate students into hateful, antisemitic, anti-American supporters of terrorism. Investigations into campus antisemitism by the Committee on Education and the Workforce and the Committee on Ways and Means have been expanded into a Congress-wide probe across all relevant jurisdictions to address this national crisis. The undersigned Committees will conduct oversight into the use of federal funds at MIT and its learning environment under authorities granted to each Committee.
• The Committee on Education and the Workforce has been investigating your institution since December 7, 2023. The Committee has broad jurisdiction over postsecondary education, including its compliance with Title VI of the Civil Rights Act, campus safety concerns over disruptions to the learning environment, and the awarding of federal student aid under the Higher Education Act.
• The Committee on Oversight and Accountability is investigating the sources of funding and other support flowing to groups espousing pro-Hamas propaganda and engaged in antisemitic harassment and intimidation of students. The Committee on Oversight and Accountability is the principal oversight committee of the US House of Representatives and has broad authority to investigate “any matter” at “any time” under House Rule X.
• The Committee on Ways and Means has been investigating several universities since November 15, 2023, when the Committee held a hearing entitled From Ivory Towers to Dark Corners: Investigating the Nexus Between Antisemitism, Tax-Exempt Universities, and Terror Financing. The Committee followed the hearing with letters to those institutions on January 10, 202
Read| The latest issue of The Challenger is here! We are thrilled to announce that our school paper has qualified for the NATIONAL SCHOOLS PRESS CONFERENCE (NSPC) 2024. Thank you for your unwavering support and trust. Dive into the stories that made us stand out!
How to Make a Field invisible in Odoo 17Celine George
It is possible to hide or invisible some fields in odoo. Commonly using “invisible” attribute in the field definition to invisible the fields. This slide will show how to make a field invisible in odoo 17.
A Strategic Approach: GenAI in EducationPeter Windle
Artificial Intelligence (AI) technologies such as Generative AI, Image Generators and Large Language Models have had a dramatic impact on teaching, learning and assessment over the past 18 months. The most immediate threat AI posed was to Academic Integrity with Higher Education Institutes (HEIs) focusing their efforts on combating the use of GenAI in assessment. Guidelines were developed for staff and students, policies put in place too. Innovative educators have forged paths in the use of Generative AI for teaching, learning and assessments leading to pockets of transformation springing up across HEIs, often with little or no top-down guidance, support or direction.
This Gasta posits a strategic approach to integrating AI into HEIs to prepare staff, students and the curriculum for an evolving world and workplace. We will highlight the advantages of working with these technologies beyond the realm of teaching, learning and assessment by considering prompt engineering skills, industry impact, curriculum changes, and the need for staff upskilling. In contrast, not engaging strategically with Generative AI poses risks, including falling behind peers, missed opportunities and failing to ensure our graduates remain employable. The rapid evolution of AI technologies necessitates a proactive and strategic approach if we are to remain relevant.
Introduction to AI for Nonprofits with Tapp NetworkTechSoup
Dive into the world of AI! Experts Jon Hill and Tareq Monaur will guide you through AI's role in enhancing nonprofit websites and basic marketing strategies, making it easy to understand and apply.
Honest Reviews of Tim Han LMA Course Program.pptxtimhan337
Personal development courses are widely available today, with each one promising life-changing outcomes. Tim Han’s Life Mastery Achievers (LMA) Course has drawn a lot of interest. In addition to offering my frank assessment of Success Insider’s LMA Course, this piece examines the course’s effects via a variety of Tim Han LMA course reviews and Success Insider comments.
Instructions for Submissions thorugh G- Classroom.pptxJheel Barad
This presentation provides a briefing on how to upload submissions and documents in Google Classroom. It was prepared as part of an orientation for new Sainik School in-service teacher trainees. As a training officer, my goal is to ensure that you are comfortable and proficient with this essential tool for managing assignments and fostering student engagement.
Instructions for Submissions thorugh G- Classroom.pptx
Area Under Curves Basic Concepts - JEE Main 2015
1. Introduction
We know the methods of evaluating definite integrals. These integrals are
used in evaluating certain types of bounded regions. For evaluation of
bounded regions defined by given functions, we shall also require to draw
rough sketch of the given function. The process of drawing rough sketch of
a given function is called curve sketching.
2. Procedure of Curve Sketching
(1) Symmetry
(i) Symmetry about x-axis: If all powers of y in equation of the given curve
are even, then it is symmetric about x-axis i.e., the shape of the curve above
x-axis is exactly identical to its shape below x-axis.
For example, y 2 = 4ax is symmetric about x-axis.
(ii) Symmetry about y-axis: If all powers of x in the equation of the given
curve are even, then it is symmetric about y-axis
For example, x 2 = 4ay is symmetric about y-axis.
(iii) Symmetry in opposite quadrants or symmetry about origin: If by putting –x
for x and –y for y, the equation of a curve remains same, then it is
symmetric in opposite quadrants.
For example, x 2 + y 2 = a 2 and xy = a 2 are symmetric in opposite
quadrants.
(iv) Symmetry about the line y = x: If the equation of a given curve remains
unaltered by interchanging x and y then it is symmetric about the line y = x
which passes through the origin and makes an angle of 45º with the
positive direction of x-axis.
(2) Origin
If the equation of curve contains no constant terms then it passes through
the origin. Find whether the curve passes through the origin or not.
For example, x 2 + y 2 + 4ax = 0 passes through origin.
(3) Points of intersection with the axes
If we get real values of x on putting y = 0 in the equation of the curve, then
real values of x and y = 0 give those points where the curve cuts the x-axis.
Similarly by putting x = 0, we can get the points of intersection of the curve
and y-axis.
3. For example, the curve intersect the axes at points ( ± a, 0) and (0,
± b).
(4) Special points
Find the points at which , at these points the tangent to the curve is
parallel to x-axis. Find the points at which At these points the tangent
to the curve is parallel to y-axis.
(5) Region
Write the given equation as y = f (x), and find minimum and maximum
values of x which determine the region of the curve.
For example for the curve x y 2 = a 2 ( a – x ) ⇒
Now y is real, if 0 ≤ x ≤ a, So its region lies between the lines x = 0 and x = a
(6) Regions where the curve does not exist
Determine the regions in which the curve does not exist. For this, find the
value of y in terms of x from the equation of the curve and find the value of
x for which y is imaginary. Similarly find the value of x in terms of y and
determine the values of y for which x is imaginary. The curve does not exist
for these values of x and y.
For example, the values of y obtained from y 2 = 4ax are imaginary for
negative value of x, so the curve does not exist on the left side of y-axis.
Similarly the curve a 2 y 2 = x 2 ( a – x ) does not exist for x > a as the values
of y are imaginary for x > a
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