Let E be the solid in the first octant bounded by the planes x = 1, y = 2, and z = 3 with density function p(x, y, z)=1+x+yz. Which of the following integrals represents the mass of the solid? 2 (1+x+yz) dz dy dx L L L dzdy dz LLLS (1+x+yz) dz dy dx √1 + x + yz dz dy dr None of the above.

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
Question
Let E be the solid in the first octant bounded by the planes x = 1, y = 2, and z = 3 with density
function p(x, y, z)=1+x+yz. Which of the following integrals represents the mass of the
solid?
2
(1+x+yz) dz dy dx
L L L dzdy dz
LLLS
(1+x+yz) dz dy dx
√1 + x + yz dz dy dr
None of the above.
Transcribed Image Text:Let E be the solid in the first octant bounded by the planes x = 1, y = 2, and z = 3 with density function p(x, y, z)=1+x+yz. Which of the following integrals represents the mass of the solid? 2 (1+x+yz) dz dy dx L L L dzdy dz LLLS (1+x+yz) dz dy dx √1 + x + yz dz dy dr None of the above.
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