Engineering Board Exam Reviewer · Vector Calculus: Gradient, Divergence, and Curl · medium

Find · F if F=x2y, i+yz2, j+xz, k.

1. 2 x y + x + 2 y z
2. x2 + x + z2
3. 2 x y + z2 + z
4. 2 x y + x + z2

Answer

D. 2 x y + x + z2

Solution

· F= (x2y)/ x+ (yz2)/ y+ (xz)/ z=2xy+z2+x.

More Vector Calculus: Gradient, Divergence, and Curl questions

1. Find if =x2y+z.
2. Evaluate C(x,dy-y,dx) counterclockwise around the circle x2+y2=4.
3. The field F=(2xy+z3), i+x2, j+3xz2, k is conservative. Find a scalar potential with F= .
4. Find the directional derivative of =x2+yz at (1,2,1) in the direction of i+2 j+2 k.
5. Find × F if F=y2z, i+xz2, j+x2y, k.

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