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Question

Mathematics Question on Application of Integrals

If F=2zi^xj^+yk^\overrightarrow F=2z\hat{i}-x\hat{j}+y\hat{k} and Vis the region bounded by the surface x=0,y=0,x=2,y=4,z=x2,z=2, then value of VFdV\iiint\limits_V\overrightarrow FdVis

A

3215(3j^+5k^)\frac{32}{15}(3\hat{j}+5\hat{k})

B

3215(3i^+5k^)\frac{32}{15}(3\hat{i}+5\hat{k})

C

3215(5i^+3k^)\frac{32}{15}(5\hat{i}+3\hat{k})

D

3215(3i^+5j^)\frac{32}{15}(3\hat{i}+5\hat{j})

Answer

3215(3i^+5k^)\frac{32}{15}(3\hat{i}+5\hat{k})

Explanation

Solution

The correct answer is(B): 3215(3i^+5k^)\frac{32}{15}(3\hat{i}+5\hat{k})