Answered: 11. The base is the semicircle y =…

11. The base is the semicircle y = √√9-x2, where -3 ≤ x ≤ 3. The cross sections perpendicular to the x-axis are squares.

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter8: Areas Of Polygons And Circles

Section8.CR: Review Exercises

Problem 38CR: Prove that if semicircles are constructed on each of the sides of a right triangle, then the area of...

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approximate the volume using a sum of N slices, then take the limit to get an integral, and lastly evaluate the integral to obtain a numerical answer for the volume.

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11. The base is the semicircle y = √√9-x², where -3 ≤ x ≤ 3. The
cross sections perpendicular to the x-axis
are squares.

With differentiation, one of the major concepts of calculus. Integration involves the calculation of an integral, which is useful to find many quantities such as areas, volumes, and displacement.

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