1+x_ifx€[-1, 0] -x if x € [0, 1]. f(x) = (a) Draw the graph of f(x). (b) Let R be the region between the graph of f(x) and the r-axis. Use moments about the x and y axis to compute the center of gravity of R. (c) Compute the volume of the solid of revolution of R about the y axis. (d) Apply Pappus Guldin Theorem to get the volume of solid of revolution around y-axis. Is there a problem? If yes, explain why?
1+x_ifx€[-1, 0] -x if x € [0, 1]. f(x) = (a) Draw the graph of f(x). (b) Let R be the region between the graph of f(x) and the r-axis. Use moments about the x and y axis to compute the center of gravity of R. (c) Compute the volume of the solid of revolution of R about the y axis. (d) Apply Pappus Guldin Theorem to get the volume of solid of revolution around y-axis. Is there a problem? If yes, explain why?
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section: Chapter Questions
Problem 12T
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