A curve, C, is defined as being x = 3 tanh -1 t, y = sin 2t,

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A curve, C, is defined as being x = 3 tanh-1 t, y = sin 2t, where 1 ≤ t ≤ 1.

a. Find the values of r where the gradient is zero.

b. Find the second derivative with respect to x when t = 0.

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