Question: (1) (7 points) A planar curve C is defined by the parametric equations D = - t4 - 8t + 1, y=+3 - 3+2 -

(1) (7 points) A planar curve C is defined by the parametric equations D = - t4 - 8t + 1, y=+3 - 3+2 - 1. 4 (a) Find dy/ dx as an explicit function of t. (b) Find the point, or points, in Cartesian coordinates at which the curve C has a horizontal tangent. (c) Find day / da as an explicit function of t. (d) Is the part of the curve C corresponding to t > 2 concave up? Explain why or why not

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