Divergence Theorem

Practice Questions

Calculus 3 › Divergence Theorem

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1

Find the divergence of the function $F(x,y,z)=3xy^3\widehat{i}+4xz\widehat{j}+5x^3y\widehat{k}$ at

2

Find the divergence of the function $F(x,y)=xe^y\widehat{i}+xe^y\widehat{j}$ at

3

Find the divergence of the function $F(x,y)=(3x+5y)\widehat{i}+5xy^2\widehat{j}$ at

4

Find the divergence of the function $F(x,y)=tan(xy)\widehat{i}+sin(y)\widehat{j}$ at $(2,2\pi)$

5

Find the divergence of the function $F(x,y)=ln(x^2y)\widehat{i}+ln(x^2y)\widehat{j}$ at

6

Find the divergence of the function $F(x,y,z)=sin(xy)\widehat{i}+e^{xz}\widehat{j}+e^{yz}\widehat{k}$ at $(\pi,2,4)$

7

Find the divergence of the function $F(x,y,z)=xyz^2\widehat{i}+yz\widehat{j}+x^3y\widehat{k}$ at

8

Find the divergence of the function $F(x,y,z)=2xz^2\widehat{i}+xy\widehat{j}-z^3\widehat{k}$ at

9

Find the divergence of the function $F(x,y,z)=3xz\widehat{i}+4yz\widehat{j}-z^2\widehat{k}$ at

10

Find the divergence of the function $F(x,y)=(3x+3y)\widehat{i}+(2x+2y)\widehat{j}$ at

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