(a) Sketch the parameterized curve x = t cos t, y =t sin t for 0 t 4.(b) By calculating

Chapter 4, Problem 44

(choose chapter or problem)

(a) Sketch the parameterized curve x = t cos t, y =t sin t for 0 t 4.(b) By calculating the position at t = 2 and t = 2.01,estimate the speed at t = 2.(c) Use derivatives to calculate the speed at t = 2 andcompare your answer to part (b).

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