Prove that the Bernoulli spiral (Figure 9) with parametrization r(t) = et cos 4t,et sin

Chapter 13, Problem 63

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Prove that the Bernoulli spiral (Figure 9) with parametrization r(t) = et cos 4t,et sin 4t has the property that the angle between the position vector and the tangent vector is constant. Find the angle in degrees. 10 20 x y t = 0 t = 2 F

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