Assume that [a, b] is a closed interval contained in the open interval (-1, 1). Let f(x) = V1 – x², and let S' be the area of the surface obtained by revolving the graph of f on [a, b] about the x axis (refer to Figure 6.32). Show that S= 27(b – a) (Thus the surface area depends only on the width of the interval [a, b] and not on its location within (-1, 1).)

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter1: Variables, Expressions, And Integers
Section1.4: Comparing And Ordering Integers
Problem 10E
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I want an answer of question number 10.

Assume that [a, b] is a closed interval contained in the
open interval (-1, 1). Let f(x) = V1 – x², and let S' be the
area of the surface obtained by revolving the graph of f on
[a, b] about the x axis (refer to Figure 6.32). Show that
S= 27(b – a)
(Thus the surface area depends only on the width of the
interval [a, b] and not on its location within (-1, 1).)
Transcribed Image Text:Assume that [a, b] is a closed interval contained in the open interval (-1, 1). Let f(x) = V1 – x², and let S' be the area of the surface obtained by revolving the graph of f on [a, b] about the x axis (refer to Figure 6.32). Show that S= 27(b – a) (Thus the surface area depends only on the width of the interval [a, b] and not on its location within (-1, 1).)
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