Let D be the region bounded by the two paraboloids z = 2x² + 2y² - 4 and z = 5 - x² - y² where x ≥ 0 and y ≥ 0. Which of the following triple integral in cylindrical coordinates allows us to evaluate the volume of D? 12 √35-² 5-1² So So $27²-4 dzdrdo So So 24 rdzdrdo This option This option None of these T √32-4² So So S-2 r dzdrdo 5-12

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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Let D be the region bounded by the two paraboloids z = 2x² + 2y² - 4 and
z = 5 - x² - y² where x ≥ 0 and y ≥ 0. Which of the following triple
integral in cylindrical coordinates allows us to evaluate the volume of D?
12
5-1²
So
³5-dzdrdo
So So S2²4 r dzdrdė
This option
This option
None of these
This option
T √32-4²
So So S-2 r dzdrdo
5-12
This option
Transcribed Image Text:Let D be the region bounded by the two paraboloids z = 2x² + 2y² - 4 and z = 5 - x² - y² where x ≥ 0 and y ≥ 0. Which of the following triple integral in cylindrical coordinates allows us to evaluate the volume of D? 12 5-1² So ³5-dzdrdo So So S2²4 r dzdrdė This option This option None of these This option T √32-4² So So S-2 r dzdrdo 5-12 This option
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