Prove that the Bernoulli spiral (Figure 9) with parametrization r(t) = et cos 4t, et sin 4t
Question:
Prove that the Bernoulli spiral (Figure 9) with parametrization r(t) = et cos 4t, et sin 4t has the property that the angle ψ between the position vector and the tangent vector is constant. Find the angle ψ in degrees.
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First let us compute the tangent vector rt rt e cos 4t e sin 4t r t 4e sin 4t ...View the full answer
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