Euclidean geometry | Volume | Integral calculus
The method of exhaustion (Latin: methodus exhaustionibus; French: mรฉthode des anciens) is a method of finding the area of a shape by inscribing inside it a sequence of polygons whose areas converge to the area of the containing shape. If the sequence is correctly constructed, the difference in area between the nth polygon and the containing shape will become arbitrarily small as n becomes large. As this difference becomes arbitrarily small, the possible values for the area of the shape are systematically "exhausted" by the lower bound areas successively established by the sequence members. The method of exhaustion typically required a form of proof by contradiction, known as reductio ad absurdum. This amounts to finding an area of a region by first comparing it to the area of a second region, which can be "exhausted" so that its area becomes arbitrarily close to the true area. The proof involves assuming that the true area is greater than the second area, proving that assertion false, assuming it is less than the second area, then proving that assertion false, too. (Wikipedia).
Solve for all of the solutions of an equation when you have to factor
๐ Learn how to solve trigonometric equations. There are various methods that can be used to evaluate trigonometric equations, they include factoring out the GCF and simplifying the factored equation. Another method is to use a trigonometric identity to reduce and then simplify the given eq
From playlist Solve Trigonometric Equations by Factoring
Solving a trigonometric equation by factoring
๐ Learn how to solve trigonometric equations. There are various methods that can be used to evaluate trigonometric equations, they include factoring out the GCF and simplifying the factored equation. Another method is to use a trigonometric identity to reduce and then simplify the given eq
From playlist Solve Trigonometric Equations by Factoring
How to use factoring to solve a trigonometric equation
๐ Learn how to solve trigonometric equations. There are various methods that can be used to evaluate trigonometric equations, they include factoring out the GCF and simplifying the factored equation. Another method is to use a trigonometric identity to reduce and then simplify the given eq
From playlist Solve Trigonometric Equations by Factoring
Find all the solutions of trig equation with cotangent
๐ Learn how to solve trigonometric equations. There are various methods that can be used to evaluate trigonometric equations, they include by factoring out the GCF and simplifying the factored equation. Another method is to use a trigonometric identity to reduce and then simplify the given
From playlist Solve Trigonometric Equations
Solve a trig equation by factoring a perfect square trinomial
๐ Learn how to solve trigonometric equations. There are various methods that can be used to evaluate trigonometric equations, they include factoring out the GCF and simplifying the factored equation. Another method is to use a trigonometric identity to reduce and then simplify the given eq
From playlist Solve Trigonometric Equations by Factoring
Learn how to write all of the solutions to a trigonometric equation
๐ Learn how to solve trigonometric equations. There are various methods that can be used to evaluate trigonometric equations, they include factoring out the GCF and simplifying the factored equation. Another method is to use a trigonometric identity to reduce and then simplify the given eq
From playlist Solve Trigonometric Equations by Factoring
Mod-20 Lec-40 Performanace and Design of Ramjet & Scramjet Engines
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From playlist IIT Bombay: Aerospace - Jet Aircraft Propulsion (CosmoLearning Aerospace Engineering)
The Method of Exhaustion โ Topic 44 of Machine Learning Foundations
#MLFoundations #Calculus #MachineLearning This video introduces a centuries-old calculus technique called the Method of Exhaustion, which not only provides us with a richer understanding of how modern calculus works, but is still relevant today. There are eight subjects covered comprehe
From playlist Calculus for Machine Learning
How to solve a trig equation by factoring
๐ Learn how to solve trigonometric equations. There are various methods that can be used to evaluate trigonometric equations, they include factoring out the GCF and simplifying the factored equation. Another method is to use a trigonometric identity to reduce and then simplify the given eq
From playlist Solve Trigonometric Equations by Factoring
What is Calculus - Lesson 4 | Integration | Don't Memorise
In this video, we will understand the idea of integration. The basic idea of integration was known to people since ancient times, and it was called the method of exhaustion. But this method was not a general one that could be used for everything. The technique of integration is a general m
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Be one of the first 500 people to sign up with this link and get 20% off your subscription with Brilliant.org! https://brilliant.org/RealEngineering/ New streaming platform: https://watchnebula.com/ Vlog channel: https://www.youtube.com/channel/UCMet4qY3027v8KjpaDtDx-g Patreon: htt
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SDS 486: The History of Calculus โ with Jon Krohn
In this episode, I go over the world history of calculus and how we still use these techniques today. Additional materials: https://www.superdatascience.com/486
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How to solve a trigonometric equation
๐ Learn how to solve trigonometric equations. There are various methods that can be used to evaluate trigonometric equations, they include factoring out the GCF and simplifying the factored equation. Another method is to use a trigonometric identity to reduce and then simplify the given eq
From playlist Solve Trigonometric Equations by Factoring
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Welcome to the History of Greek Mathematics mini-series! This series is a short introduction to Math History as a subject and the some of the important theorems created in ancient Greece. You are watching the fourth and final video in the series. If this series interested you check out ou
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Guest lecture by Sophia Althammer (https://twitter.com/sophiaalthammer) In this lecture we learn how about different task settings, challenges, and solutions in domains other than web search. Slides & transcripts are available at: https://github.com/sebastian-hofstaetter/teaching ๐ Check
From playlist Advanced Information Retrieval 2021 - TU Wien
How to apply factoring to solve a trigonometric equation
๐ Learn how to solve trigonometric equations. There are various methods that can be used to evaluate trigonometric equations, they include factoring out the GCF and simplifying the factored equation. Another method is to use a trigonometric identity to reduce and then simplify the given eq
From playlist Solve Trigonometric Equations by Factoring
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How to solve a trig equation by factoring a trinomial
๐ Learn how to solve trigonometric equations. There are various methods that can be used to evaluate trigonometric equations, they include factoring out the GCF and simplifying the factored equation. Another method is to use a trigonometric identity to reduce and then simplify the given eq
From playlist Solve Trigonometric Equations by Factoring
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