At time t, the position of a particle moving on a curve is given by x = e2t e2t and y =

Chapter 4, Problem 47

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At time t, the position of a particle moving on a curve is given by x = e2t e2t and y = 3e2t + e2t . (a) Find all values of t at which the curve has (i) A horizontal tangent. (ii) A vertical tangent. (b) Find dy/dx in terms of t. (c) Find lim t dy/dx.

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