Evaluate the work done between point 1 and point 2 for the conservative field F. F = (y + z) i + x j + x k; P 1(0, 0, 0), P 2(9, 10, 8) a) W = 162 b) W = 0 c) W = 18 d) W = 90

Q: Evaluate the work done between point 1 and point 2 for the conservative field F. F 3D6xi+ 6уј+ 6z k;…

A:

Q: W (s, t) = F(u(s, t), v(s, t)), where F, u, and v are differentiable. If u(3, v:(3, – 2) = 7, F.( –…

A: Let's find.

Q: 2. For the vector field F(x, y, z) = (x²y, xyz, −x²y²) F(x, y, z)=(x2y,xyz,-x2 y 2 ), find: (a) div…

A:

Q: 1. Let F =i+y^2j +z^4k. Find the general flow lines for this vector field. Present the flow line…

A: Consider the provided question,

Q: For what values of b and c will F = (y2 + 2czx)i + y(bx + cz)j + ( y2 + cx2)k be a gradient field?

A: The vector field is F=y2+2czxi+ybx+czj+y2+cx2k. Here, M=y2+2czx, N=ybx+cz+P=y2+cx2

Q: Which vector field F has graph y

A: Given:    Vector field graph is given

Q: 6 Find the curl of the vector field F = < yx³, xz5, zy curl F= + S k

A: Step 1: Step 2:Step 3: Step 4: