2 ydx to compute the arca of the ellipse ()* + )= = 1. 16. Use

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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2
ydx to compute the arca of the ellipse ()* + )=
= 1.
16. Use
Transcribed Image Text:2 ydx to compute the arca of the ellipse ()* + )= = 1. 16. Use
Expert Solution
Step 1

Given an ellipse with the equation

Calculus homework question answer, step 1, image 1

We need to find the area of the ellipse using

Calculus homework question answer, step 1, image 2

Step 2

If C is a simple closed curve and D is a region bounded by C where we can apply Green’s theorem, then area of the region D

Calculus homework question answer, step 2, image 1

According to Green’s theorem, we can write

Calculus homework question answer, step 2, image 2

Then the integral becomes

Calculus homework question answer, step 2, image 3

If we take

Calculus homework question answer, step 2, image 4

Then equation 1 is satisfied.

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