Set up an integral to find the volume of a right pyramid that has a square base in the xy-plane [-2, 2] × [-2, 2], and vertex at the point (0, 0, 11), as shown in the figure. Integrate first with respect to x, then y, then z. Do not evaluate. Provide your answer below: V= X= X= (-2,-2.0) (2,-2,0) dx dy dz x (0, 0, 11) (2,2,0) (-2,2,0)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.3: Hyperbolas
Problem 37E
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Set
up an integral to find the volume of a right pyramid that has a square base in the xy-plane [-2, 2] × [-2, 2], and vertex
at the point (0, 0, 11), as shown in the figure. Integrate first with respect to x, then y, then z. Do not evaluate.
Provide your answer below:
V=
X=
X=
(-2,-2.0)
(2,-2,0)
dx dy dz
x
(0, 0, 11)
(2,2,0)
(-2,2,0)
Transcribed Image Text:Set up an integral to find the volume of a right pyramid that has a square base in the xy-plane [-2, 2] × [-2, 2], and vertex at the point (0, 0, 11), as shown in the figure. Integrate first with respect to x, then y, then z. Do not evaluate. Provide your answer below: V= X= X= (-2,-2.0) (2,-2,0) dx dy dz x (0, 0, 11) (2,2,0) (-2,2,0)
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