#3. Evaluate the triple integral to a number answer: fg (22) dV where E is the solid defined by E = {(x, y, z): 1≤ y ≤ 4, y ≤z≤ 4,0 ≤ x ≤ z}. #4. Set up the required triple integral to evaluate fff (6xy) dV where E lies under the plane\ z = 1+x+y and above the region in the xy-plane bounded by the curves y = √√x, y = 0, and x = 1.

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 3E
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* #3. Evaluate the triple integral to a number answer: S (222) dV where E is the solid defined by
E = {(x, y, z): 1≤ y ≤ 4, y ≤z≤ 4,0 ≤ x ≤ 2}.
#4. Set up the required triple integral to evaluate fff (6xy) dV where E lies under the plane\
z = 1+x+y and above the region in the xy-plane bounded by the curves y = √x, y = 0, and x = 1.
Transcribed Image Text:* #3. Evaluate the triple integral to a number answer: S (222) dV where E is the solid defined by E = {(x, y, z): 1≤ y ≤ 4, y ≤z≤ 4,0 ≤ x ≤ 2}. #4. Set up the required triple integral to evaluate fff (6xy) dV where E lies under the plane\ z = 1+x+y and above the region in the xy-plane bounded by the curves y = √x, y = 0, and x = 1.
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