Find the volume of z = 2xy bounded by x² + y² = 4, x ≥ 0, y ≥ 0 and z≥ 0.
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 16E
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Transcribed Image Text:4. Find the volume of z = 4 + 2x + 3y bounded by 0 ≤ x ≤ 2 and 0 ≤ y ≤ 1.
5. Find the volume of z = 2xy bounded by x² + y² = 4, x ≥ 0, y ≥ 0 and z ≥ 0.
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