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Define the position of a particle

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Reference no: EM131604716

Question: The position of a particle at time t is given by x = et + 3 and y = e2t + 6et + 9.

(a) Find dy/dx in terms of t.

(b) Find d2y/dx2. What does this tell you about the concavity of the graph?

(c) Eliminate the parameter and write y in terms of x.

(d) Using your answer from part (c), find dy/dx and d2y/dx2 in terms of x. Show that these answers are the same as the answers to parts (a) and (b).

Reference no: EM131604716

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