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(d) Now assume c < xo. Set up but do not evaluate an integral for the volume of the so generated by rotating the region in part (a) about the line x = c. Make sure to expl. how you found each term and factor under the integral.

(d) Now assume c < xo. Set up but do not evaluate an integral for the volume of the so generated by rotating the region in part (a) about the line x = c. Make sure to expl. how you found each term and factor under the integral.

College Algebra
College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter3: Polynomial And Rational Functions
Section: Chapter Questions
Problem 11T: Consider the following rational functions: r(x)=x2x22x1 s(x)=x2+4x3+27 t(x)=x+2x39x u(x)=x225x2+x6...
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I need help with this question as soon as possible please. Only solve for (d).

SHOW WORK please and if used FTOC theorem, please label the steps where the FTOC theorem was used.

= -2a(x – xo)(x – x1)(x – x2)² + k, 1. Let f(x) = a(x – xo)(x – x1)(x – x2)² + k and g(x) where a e R+, -0 < xo < x1< x2 < o0, and k is a positive real number that is larger than max|f([xo, x2])| and mar|9([xo, x1])|- (a) Set up but do not evaluate an integral that represents the area of the region bounded by y = f(x) and y = g(x) for xo <¤< x2. Include a graph of the region as well. What would change if a < 0? (b) Set up but do not evaluate an integral for the volume of the solid generated by rotating the region in part (a) about the x-axis. Make to explain how you found each term and factor under the integral. (c) Now assume 0 < xo. Set up but do not evaluate an integral for the volume of the solid generated by rotating the region in part (a) about the y-axis. Make sure to explain how you found each term and factor under the integral. Why was the assumption 0 < xo made? (d) Now assume c < xo. Set up but do not evaluate an integral for the volume of the solid generated by rotating the region in part (a) about the line x = c. Make sure to explain how you found each term and factor under the integral.
Transcribed Image Text:= -2a(x – xo)(x – x1)(x – x2)² + k, 1. Let f(x) = a(x – xo)(x – x1)(x – x2)² + k and g(x) where a e R+, -0 < xo < x1< x2 < o0, and k is a positive real number that is larger than max|f([xo, x2])| and mar|9([xo, x1])|- (a) Set up but do not evaluate an integral that represents the area of the region bounded by y = f(x) and y = g(x) for xo <¤< x2. Include a graph of the region as well. What would change if a < 0? (b) Set up but do not evaluate an integral for the volume of the solid generated by rotating the region in part (a) about the x-axis. Make to explain how you found each term and factor under the integral. (c) Now assume 0 < xo. Set up but do not evaluate an integral for the volume of the solid generated by rotating the region in part (a) about the y-axis. Make sure to explain how you found each term and factor under the integral. Why was the assumption 0 < xo made? (d) Now assume c < xo. Set up but do not evaluate an integral for the volume of the solid generated by rotating the region in part (a) about the line x = c. Make sure to explain how you found each term and factor under the integral.
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