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For the parametric curve x(t) = 2−5cos(t), y(t) = 1 + 3sin(t), t ∈ [0,2π) Part...

For the parametric curve x(t) = 2−5cos(t), y(t) = 1 + 3sin(t), t ∈ [0,2π)

Part a: Give an equation relating x and y that represents the curve.

Part b: Find the slope of the tangent line to the curve when t = π/6 .

Part c: State the points (x,y) where the tangent line is horizontal.

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