Question: Consider vector field F(x,y,z) = (-yz,xz,z). 1) Find a function g(t) such that g(0) = 0 and c(t) = (cos(g(t)), sin(g(t)), e ) will be

Consider vector field F(x,y,z) = (-yz,xz,z). 1) Find a function g(t) such that g(0) = 0 and c(t) = (cos(g(t)), sin(g(t)), e ) will be a flow line for F. 2) Compute the length of c(t) for 0 s ts 1. 3) Is F the gradient of any function

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