Question: A curve C is given by the equations x = 2 cos t + sin 2t, y = cos t 2 sin 2t, 0

A curve C is given by the equations  x = 2 cos t + sin 2t, y = cos t − 2 sin 2t, 0 < t < π where t is a parameter

a. Find dx/dt and dy/dt in terms of t.

b. Find the value of dy/dx at the point P on C where t =  π/4.

c. Find an equation of the normal to the curve at P.

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