(a) An object moves along the path x = 3t and y =cos(2t), where t is time. Write the

Chapter 4, Problem 53

(choose chapter or problem)

(a) An object moves along the path x = 3t and y =cos(2t), where t is time. Write the equation for theline tangent to this path at t = /3.(b) Find the smallest positive value of t for which they-coordinate is a local maximum.(c) Find d2y/dx2 when t = 2. What does this tell youabout the concavity of the graph at t = 2?

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