Find the volume of the figure with base bounded by the given curves such that slices perpendicular to both the xy-plane and the y-axis are trapezoids, where the longer parallel side is the base, the shorter parallel side is one-third of the base, and the sides form a 75-degree angle with the base. Round to 5 decimals. y2 - 2y = 6x (y- 2)2 + (x – 5)? = 25

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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Find the volume of the figure with base bounded by the given curves such that slices perpendicular to
both the xy-plane and the y-axis are trapezoids, where the longer parallel side is the base, the shorter
parallel side is one-third of the base, and the sides form a 75-degree angle with the base. Round to 5
decimals.
y2 – 2y = 6x
(y – 2)2 + (x – 5)? = 25
%3D
Transcribed Image Text:Find the volume of the figure with base bounded by the given curves such that slices perpendicular to both the xy-plane and the y-axis are trapezoids, where the longer parallel side is the base, the shorter parallel side is one-third of the base, and the sides form a 75-degree angle with the base. Round to 5 decimals. y2 – 2y = 6x (y – 2)2 + (x – 5)? = 25 %3D
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