y =f(x) R 1. Let f be the function given by f(x) = -5-+ 3cos(x) Let R be the shaded region in the second 4 quadrant bounded by the graph of f, and let S be the shaded region bounded by the graph of f and line l, the line tangent to the graph of f at x = 0, as shown above. (a) Find the area of R. (b) Find the volume of the solid generated when R is rotated about the horizontal line y = -2. (c) Write, but do not evaluate, an integral expression that can be used to find the area of S.

y =f(x) R 1. Let f be the function given by f(x) = -5-+ 3cos(x) Let R be the shaded region in the second 4 quadrant bounded by the graph of f, and let S be the shaded region bounded by the graph of f and line l, the line tangent to the graph of f at x = 0, as shown above. (a) Find the area of R. (b) Find the volume of the solid generated when R is rotated about the horizontal line y = -2. (c) Write, but do not evaluate, an integral expression that can be used to find the area of S.

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)

6th Edition

ISBN:9781337111348

Author:Bruce Crauder, Benny Evans, Alan Noell

Publisher:Bruce Crauder, Benny Evans, Alan Noell

ChapterA: Appendix

SectionA.2: Geometric Constructions

Problem 10P: A soda can has a volume of 25 cubic inches. Let x denote its radius and h its height, both in...

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