The function defined by y=√-² has as its graph a semicircle of radius r with center at (0.0) (as shown in the figure to the right). Find the volume that results when the semicircle y = √49-x² is rotated about the x-axis. Set up the integral that is equal to the volume described. v= √(x(49-x²)) dx The volume is cubic units. (Type an exact answer, using x as needed.) (-1,0) -√²²-x² (r.0)

The function defined by y=√-² has as its graph a semicircle of radius r with center at (0.0) (as shown in the figure to the right). Find the volume that results when the semicircle y = √49-x² is rotated about the x-axis. Set up the integral that is equal to the volume described. v= √(x(49-x²)) dx The volume is cubic units. (Type an exact answer, using x as needed.) (-1,0) -√²²-x² (r.0)

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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