Question

Consider the vector field F(x,y,z)=xi+yj+zk. a) Find a function f such that F=∇f and f(0,0,0)=0. f(x,y,z)= b) Use part a) to compute the work done by F on a particle moving along the curve C given by r(t)=(1+4sint)i+(1+sin^2t)j+(1+sin^3t)k,0≤t≤π2.