54. Work done by a radial force with constant magnitude A par- ticle moves along the smooth curve y = f(x) from (a, f(a)) to (b, f(b)). The force moving the particle has constant magnitude k and always points away from the origin. Show that the work done by the force is F.T ds = k[(b² + (f(b))*)/2 – (a² + (f(a))*)/2 ].

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Q: B) r(t) = (4 cos t, 4 sin t, 16)

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A: First we will plot the given parameters.

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