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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Question
Expert Solution
Step 1
Given an ellipse with the equation
We need to find the area of the ellipse using
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
According to Green’s theorem, we can write
Then the integral becomes
If we take
Then equation 1 is satisfied.
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