Answer to Question #59208 in Calculus for RITA

Question

5 Given that ϕ=2x^2y−xz^3 find ▽^2ϕ
6 If A=xz^3i−2x^2yzj+2yz^4, find ▽×A at point (1,-1,1).
7 Given that A=A1i+A2j+A3k and r=xi+yj+zk, evaluate ▽⋅(A×r) if ▽×A=0
8 Let A=x^2yi−2xzj+2yzk, find Curl curl A.
9 Given A=2x^2i−3yzj+xz^2k and ϕ=2z−x^3y, find A⋅▽ϕ at point (1,-1,1).
10 Find the directional derivative of ϕ=x^2yz+4xz^2 at (1,-2,-1) in the direction 2i−j−2k