Use cylindrical coordinates to evaluate the following triple integrals toutube √²-² (x² + y²) dzdy dx Ans: 243,7/10 √9-x² b) Find the volume of the region enclosed by the cylinder x² + y² = 4 and the planes == 0 and y+==4. Ans:16 Find the volume of the solid E that lies within the cylinder x² + y² = 1, below the plane z = 4 and above the paraboloid == 1-x² - y². Young

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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2a and c
Use cylindrical coordinates to evaluate the following triple integrals
fahabe
²²-² (x² + y²) dzdy dx Ans: 2437/10
√9-x²
b) Find the volume of the region enclosed by the cylinder x² + y² = 4 and
the planes == 0 and y+z=4. Ans: 16
Find the volume of the solid E that lies within the cylinder x² + y² = 1, below the plane
z = 4 and above the paraboloid =1-x² - y².
Yours
Transcribed Image Text:Use cylindrical coordinates to evaluate the following triple integrals fahabe ²²-² (x² + y²) dzdy dx Ans: 2437/10 √9-x² b) Find the volume of the region enclosed by the cylinder x² + y² = 4 and the planes == 0 and y+z=4. Ans: 16 Find the volume of the solid E that lies within the cylinder x² + y² = 1, below the plane z = 4 and above the paraboloid =1-x² - y². Yours
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