Consider the function y = 1- x² with -1 < x<1. Let S be the surface obtained by rotating this function about the x-axis. 1 (a) Find an equation for the tangent plane to S at the point 1 -1 /2' 2/2'2/2, (b) Set up a definite integral to find the surface area of S. Do not evaluate the integral.

Algebra and Trigonometry (6th Edition)
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ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Consider the function y = 1 – x² with -1 < x <1. Let S be the surface obtained by rotating this function about
the x-axis.
1
(a) Find an equation for the tangent plane to S at the point
1
-1
V2' 2/2' 2/2.
(b) Set up a definite integral to find the surface area of S. Do not evaluate the integral.
Transcribed Image Text:Consider the function y = 1 – x² with -1 < x <1. Let S be the surface obtained by rotating this function about the x-axis. 1 (a) Find an equation for the tangent plane to S at the point 1 -1 V2' 2/2' 2/2. (b) Set up a definite integral to find the surface area of S. Do not evaluate the integral.
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