The graphs y = sin x and y = (-x + π/2 +1) intersect only at the point (π/2 ,1). Let R be the area to the right of the y-axis (x = 0), above the curve y = sin x and below the curve y = -x + π/2 + 1. What is the volume of the body of revolution as we rotate R about the y-axis?
The graphs y = sin x and y = (-x + π/2 +1) intersect only at the point (π/2 ,1). Let R be the area to the right of the y-axis (x = 0), above the curve y = sin x and below the curve y = -x + π/2 + 1. What is the volume of the body of revolution as we rotate R about the y-axis?
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter10: Analytic Geometry
Section10.1: The Rectangular Coordinate System
Problem 40E: Find the exact volume of the solid that results when the region bounded in quadrant I by the axes...
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The graphs y = sin x and y = (-x + π/2 +1) intersect only at the point (π/2 ,1). Let R be the area to the right of the y-axis (x = 0), above the curve y = sin x and below the curve y = -x + π/2 + 1. What is the volume of the body of revolution as we rotate R about the y-axis?
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