Given the curve x(t) = t^2 + 3 and y(t) = 2t^3 - 3t^2, find the following: a.) Find the derivative of the curve at t = 1. b.) Find the concavity of the curve. c.) Graph the curve from t = 0 to t = 2. d.) Find the area of the curve on the interval 0 <= t <= 2.
Added by Evan C.
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Step 1: Find the derivative of the curve at \( t = 1 \). Show more…
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