Question: 2) Let x(t) = (e t cos(t), e * sin(t) ), for t 2 0. a) Show that the tangent to the curve at t

2) Let x(t) = (e t cos(t), e * sin(t) ), for t 2 0. a) Show that the tangent to the curve at t makes a constant angle to the line joining (0,0) to x(t). b) What is this angle? c) Find the length of the curve as t runs from 0 to co

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