y=f(x)cross-sectiony=g(x)base viewThe base of a certain solid is the area bounded above by the graph of y = f(x) = 9 and below by the graph of y = g(x) = 16x².Cross-sections perpendicular to the y-axis are squares. (See picture above, click for a better view.)Use the formulabVTo A(y) dyto find the volume of the solid.The lower limit of integration is a =The upper limit of integration is b =The sides of the square cross-section is the following function of y:A(y)=Thus the volume of the solid is V ==JI=←IFIA

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Answered: The base of a certain solid is the area…

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter4: Polynomial And Rational Functions

Section4.4: Complex And Rational Zeros Of Polynomials

Problem 39E

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The base of a certain solid is the area bounded above by the graph of y = f(x) = 9 and below by the graph of y = g(x) = 16x². Cross-sections perpendicular to the y-axis are squares. (See picture above, click for a better view.) Use the formula v=[ A(y) dy V