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}

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Chapter1: Functions And Models
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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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