The position of a particle at time t is given by x = et + 3and y = e2t + 6et + 9.(a)
Chapter 4, Problem 54(choose chapter or problem)
The position of a particle at time t is given by x = et + 3and y = e2t + 6et + 9.(a) Find dy/dx in terms of t.(b) Find d2y/dx2. What does this tell you about theconcavity of the graph?(c) Eliminate the parameter and write y in terms of x.(d) Using your answer from part (c), find dy/dx andd2y/dx2 in terms of x. Show that these answers arethe same as the answers to parts (a) and (b).
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