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ii) under z = x² - y² and above the square R = [1,3] x [-1,1]

ii) under z = x² - y² and above the square R = [1,3] x [-1,1]

Calculus For The Life Sciences
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 15E
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B. Find the volume of the indicated solid i) under 2x - 3y + z = 6 and above the rectangle R = {(x, y)|-1 ≤ x ≤0,-2 ≤ y ≤ 1} ii) under z = x² - y² and above the square R = [1,3] × [-1,1] ii) in the first octant bounded by the cylinder z = 9 - x², the planes x = 0, y = 0 and y = 2.
Transcribed Image Text:B. Find the volume of the indicated solid i) under 2x - 3y + z = 6 and above the rectangle R = {(x, y)|-1 ≤ x ≤0,-2 ≤ y ≤ 1} ii) under z = x² - y² and above the square R = [1,3] × [-1,1] ii) in the first octant bounded by the cylinder z = 9 - x², the planes x = 0, y = 0 and y = 2.
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