(3) ()(A) Find the volume of the solid under the paraboloid z = 2x² + y² and above the rectangle R= [0,3]x[1,2].ISS=7rdV, where E= {(x, y, z) |0 ≤ y ≤ 2,0 ≤ x ≤ (4- y²), 0≤z≤y}.(B) Evaluate:

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Answered: (B) Evaluate: [7zdv 72dV, where E= =…

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(B) Evaluate: [7zdv 72dV, where E= = {(x, y, z) |0 ≤ y ≤ 2,0 ≤x≤ (4-y²),0 ≤ z≤y}.

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter8: Further Techniques And Applications Of Integration

Section8.3: Volume And Average Value

Problem 12E

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Question

(3) (
)
(A) Find the volume of the solid under the paraboloid z = 2x² + y² and above the rectangle R= [0,3]x[1,2].
ISS=
7rdV, where E= {(x, y, z) |0 ≤ y ≤ 2,0 ≤ x ≤ (4- y²), 0≤z≤y}.
(B) Evaluate:

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