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

Answered: Image /qna-images/answer/57320653-29b2-4ca9-98f4-1950a0b73c7d.jpg

(3) ( ) (A) Find the volume of the solid under the paraboloid z = 2x² + y² and above the rectangle R= [0,3]x[1, 2]. (B) Evaluate: 111. T {(x, y, z) |0 ≤ y ≤ 2,0 ≤x≤(4-y²), 0≤z≤y}. 72dV, where E= الممسوحة ضوئيا بـ CS camScanner

(3) ( ) (A) Find the volume of the solid under the paraboloid z = 2x² + y² and above the rectangle R= [0,3]x[1, 2]. (B) Evaluate: 111. T {(x, y, z) |0 ≤ y ≤ 2,0 ≤x≤(4-y²), 0≤z≤y}. 72dV, where E= الممسوحة ضوئيا بـ CS camScanner

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].
(B) Evaluate:
[[[ 7xdV, where E= {(x, y, z) |0 ≤ y ≤ 2,0 ≤x≤ (4-y²), 0≤z≤ y}.
الممسوحة ضوئيا بـ CS camScanner

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