Question: Let C be a curve given by the parametric equation x = 2sin(t), y = 4 cos(t) with t in [0, pi/2] a) Eliminate the

Let C be a curve given by the parametric equation x = 2sin(t), y = 4 cos(t) with t in [0, pi/2]

a) Eliminate the parameter to find the equation in Cartesian coordinates.

b) Sketch the curve, indicating the initial point and final point. Indicate the orientation with an arrow along the curve as well as the initial and terminal points.

c) Find the slope of the tangent line to the graph at the point corresponding to t = pi/6

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