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7. For the parametric curve x(t) = 2 − 5 cos(t), y(t) = 1 + 3...

7. For the parametric curve x(t) = 2 − 5 cos(t), y(t) = 1 + 3 sin(t), t ∈ [0, 2π) Part a: (2 points) Give an equation relating x and y that represents the curve. Part b: (4 points) Find the slope of the tangent line to the curve when t = π 6 . Part c: (4 points) State the points (x, y) where the tangent line is horizontal

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