If C is the curve given by r(t)=(1+5sint)i+(1+2sin2t)j+(1+3sin3t)k, 0≤t≤π2 and F is the radial vector field F(x,y,z)=xi+yj+zk, compute the work done by F on a particle moving along C.

Answer 1

The formula for work performed by force vector along curve is the definite integral with appropriate limit of the inner product of force vector and tangent vector to the curve.

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