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34. An object occupies the region bounded above by the sphere x2 + y' + 22 = 32 and below by the upper nappe of
34. An object occupies the region bounded above by the sphere x2 + y' + 22 = 32 and below by the upper nappe of the cone z2 = x2 + y'. The mass density at any point of the object is equal to its distance from the xy plane. Set up a triple integral in rectangular coordinates for the total mass m of the object. A. S4 (V16-12 32-x2- - y2 z dz dy dx B. S4 (V16-12 32-a2 -y2 -V 16 -xz V16 -XZ z dz dy dx x2 +y/2 C. 2 2 J - VA-12 32-22-1 z dz dy dx x2 +2/2 D. So So 16-x2 32-22 -y2 z dz dy dx 2 +2/2 32-x2- ry dz dy dx. 35. Do problem 34 in spherical coordinates. A. Jon Not So 2 3 cos p sin p do dy de B. Soft Sop cos psin 4 do dy de C. ST S S32 p3 sin? papdo de D. J2T Jo Jo 32 p3 cos p sin p dip dip de E. for So Sopcosy dody de. 36. The double integral So So 1-12 y?(x2 + y?)3dydax when converted to polar coordinates becomes A. So So ro sin2 0 dr de B. So for$ sin2 0 dr de C. So So 8 sin 0 dr de D. So So 8 sin 0 dr de E. So fo re sin2 0 dr de
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