You do not need to evaluate any of the itegrals. Let R be the region bounded by the following curves: 1 y =1, x20 0 < z • ² = y = 4. a) Represent the area of R using one or more integrals with respect to z. b) Represent the area of R using one of more integrals with respect to y.

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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In this question you will represent areas and volumes using integrals.
You do not need to evaluate any of the integrals.
Let R be the region bounded by the following curves:
1
1/ = -, x >0
y ==2, z20
y = 4.
a) Represent the area of R using one or more integrals with respect to z.
b) Represent the area of R using one of more integrals with respect to y.
Let S be the region bounded by the following curves:
y = -g?
y = 2x - 15.
Use one or more integrals to represent the volume of the solid obtained by rotating S about the line y = 3.
Transcribed Image Text:In this question you will represent areas and volumes using integrals. You do not need to evaluate any of the integrals. Let R be the region bounded by the following curves: 1 1/ = -, x >0 y ==2, z20 y = 4. a) Represent the area of R using one or more integrals with respect to z. b) Represent the area of R using one of more integrals with respect to y. Let S be the region bounded by the following curves: y = -g? y = 2x - 15. Use one or more integrals to represent the volume of the solid obtained by rotating S about the line y = 3.
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