Suppose parametric equations for the line segment between (5, 1) and (6, −3) have the form: a + bt c + dt X = C = Y = If the parametric curve starts at (5, 1) when t = 0 and ends at (6, −3) at t = 1, then find a, b, c, and d. a =

Find a set of parametric equations to represent the graph of y=x2+2, using each parameter. a. t=x b. t=2x

Write parametric equations for a cycloid traced by a point P on a circle of radius a as the circle rolls along the x -axis given that P is at a maximum when x=0.