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Find the area of the surface obtained by rotating the circle x 2 1 y 2 r 2 about the

Single Variable Calculus: Early Transcendentals | 8th Edition | ISBN: 9781305270336 | Authors: James Stewart ISBN: 9781305270336 484

Solution for problem 35 Chapter 8.2

Single Variable Calculus: Early Transcendentals | 8th Edition

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Single Variable Calculus: Early Transcendentals | 8th Edition | ISBN: 9781305270336 | Authors: James Stewart

Single Variable Calculus: Early Transcendentals | 8th Edition

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Problem 35

Find the area of the surface obtained by rotating the circle x 2 1 y 2 r 2 about the line y r

Step-by-Step Solution:
Step 1 of 3

March 21­25, 2016 Section 3.2 Suppose f’(x) >0 for all x on an open interval I. Suppose x < x i1 I. 2 en f(x) is continuous on [x1 x2] and it is differentiable on (x 1 x 2 2 x ¿ So by Mean Value Theorem there is c ¿ f( )1f ¿ ' ϵ ( 1x S2)hthen f (c)=¿ Which implies Thus f(x)< 0 is increasing on I. By similar arguments, we can show that f’(x)< 0 on an open interval f is decreasing on I. And if f’(x)=0 on an open interval I, then f(x) is constant on I. Theorem If f’(x)=

Step 2 of 3

Chapter 8.2, Problem 35 is Solved
Step 3 of 3

Textbook: Single Variable Calculus: Early Transcendentals
Edition: 8
Author: James Stewart
ISBN: 9781305270336

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Find the area of the surface obtained by rotating the circle x 2 1 y 2 r 2 about the