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