4. An ellipse with major axis length 2a and minor axis length 26 is given by equation x² y² + = 1 q² 62 Find the area enclosed by the ellipse by setting up an integral and making a trigonometric substitution. Use your result to deduce the formula for the area of a circle.

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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4. An ellipse with major axis length 2a and minor axis length 2b is given by equation
x² y²
q²
+
a 62
Find the area enclosed by the ellipse by setting up an integral and making a trigonometric substitution.
Use your result to deduce the formula for the area of a circle.
= 1
=
Transcribed Image Text:4. An ellipse with major axis length 2a and minor axis length 2b is given by equation x² y² q² + a 62 Find the area enclosed by the ellipse by setting up an integral and making a trigonometric substitution. Use your result to deduce the formula for the area of a circle. = 1 =
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