Let r(t)= (212-t,t³ +1²-5t), -2≤t≤ 2. (a) Sketch the curve which is generated by r(t). You may use technology to help you do so. (b) Compute r'(t). (c) Which has larger magnitude, r'(-1) or r'(1)? On a copy of your sketch from (a), plot both vectors as tangent vectors and explain how this verifies your answer.

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