div F dV if F=2xi +2yj+xyzk where Vis the volume 6. Use Gauss's Theorem to evaluate V of the paraboloid that is bounded by z=4-x² - y² and plane z = 0. Answer: 32

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div F dv if F= 2xi +2yj+xyzk where V is the volume
46. Use Gauss's Theorem to evaluate
V
of the paraboloid that is bounded by z=4-x² - y² and plane z = 0.
Answer: 32
47. Use Gauss's Theorem to evaluate fff div F dv if F=xi+yj + zk where Vis the volume of the
V
cylinder x² + y² ≤5 that is bounded by plane z = 0, z = 2 and y=0
Answer: 15
Transcribed Image Text:div F dv if F= 2xi +2yj+xyzk where V is the volume 46. Use Gauss's Theorem to evaluate V of the paraboloid that is bounded by z=4-x² - y² and plane z = 0. Answer: 32 47. Use Gauss's Theorem to evaluate fff div F dv if F=xi+yj + zk where Vis the volume of the V cylinder x² + y² ≤5 that is bounded by plane z = 0, z = 2 and y=0 Answer: 15
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