Use spherical coordinates to evaluate triple integral E czdV, where E is the solid above the cone z = Vx2 + y2, between the spheres x2 +y2+ z2 = 2 and x2 +y +z = 4 in the first octant. Which one of the following values is closest to the value of this triple integral? With spherical coordinate system, the triple integral of function f (x, y, z) over a region E is calculated by SLE f(p sin o cos 0, p sin o sin 6, p cos o)p² sin odpdodo. a) 0.36 b) 0.73 c) 0.49 d) 0.11 e) 0.24 O f) 0.62

Calculus: Early Transcendentals
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Chapter1: Functions And Models
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Use spherical coordinates to evaluate triple integral E czdV, where E is the solid above the cone
z = Vx2 + y2, between the spheres x² +y? +? = 2 and x?+y? +z? = 4 in the first octant.
Which one of the following values is closest to the value of this triple integral?
With spherical coordinate system, the triple integral of function f (x, y, z) over a region E is calculated by
Slle f(p sin o cos 0, p sin o sin 0, p cos o)p? sin ødpdodo.
a) 0.36
b) 0.73
c) 0.49
O d) 0.11
e) 0.24
f) 0.62
Transcribed Image Text:Use spherical coordinates to evaluate triple integral E czdV, where E is the solid above the cone z = Vx2 + y2, between the spheres x² +y? +? = 2 and x?+y? +z? = 4 in the first octant. Which one of the following values is closest to the value of this triple integral? With spherical coordinate system, the triple integral of function f (x, y, z) over a region E is calculated by Slle f(p sin o cos 0, p sin o sin 0, p cos o)p? sin ødpdodo. a) 0.36 b) 0.73 c) 0.49 O d) 0.11 e) 0.24 f) 0.62
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