Question: Let for the Bernoulli spiral r(t) = (e t cos 4t, e t sin 4t) (see Exercise 39 in Section 13.3). Show that the radius

Let s(t) = J S ||r' (u)|| du for the Bernoulli spiral r(t) = (ecos 4t, esin 4t) (see Exercise 39 in Section 13.3). Show that the radius of curvature is proportional to s(t).


Data From Exercise 39 in Section 13.3

Show that the radius of curvature is proportional to s(t).

M. (M+A)-A (M+A)

s(t) = J S ||r' (u)|| du

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