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Solve the Problem dydzdx\mathrm { dy } \mathrm {} \mathrm { dz } \mathrm { dx }

Question 157

Multiple Choice

Solve the problem.
-Write an iterated triple integral in the order dydzdx\mathrm { dy } \mathrm {} \mathrm { dz } \mathrm { dx } for the volume of the region in the first octant enclosed by the cylinder x2+z2=49x ^ { 2 } + z ^ { 2 } = 49 and the plane y=4y = 4 .


A) 07049x204dydzdx\int _ { 0 } ^ { 7 } \int _ { 0 } ^ { \sqrt { 49 - x ^ { 2 } } } \int _ { 0 } ^ { 4 } d y d z d x
B) 07049z204dydzdx\int _ { 0 } ^ { 7 } \int _ { 0 } ^ { \sqrt { 49 - z ^ { 2 } } } \int _ { 0 } ^ { 4 } d y d z d x
C) 07049z204zdydzdx\int _ { 0 } ^ { 7 } \int _ { 0 } ^ { \sqrt { 49 - z ^ { 2 } } } \int _ { 0 } ^ { 4 - z } d y d z d x
D) 07049x20zdydzdx\int _ { 0 } ^ { 7 } \int _ { 0 } ^ { \sqrt { 49 - x ^ { 2 } } } \int _ { 0 } ^ { z } d y d z d x

Correct Answer:

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