Plot the point whose cylindrical coordinates are given. Then find the rectangular coordinates of the point. (b) (6, −π/2, 3)

Give the parametric equations of the rectangular equation below. y = (x - 2)² + 5 X = t + 2 8 = t 2 y = y = Y = t² + 5 (t + 2)² + 5 (t - 2)² + 5

A second car also leaves at noon and drives in a southwesterly direction. At 2 pm, its location (777, 370); at 5 pm, its location is (648, 325). Write a set of parametric equations to describe its movement. Fill in the blanks. Give decimal values to three places. X = t + t +

11 A ball was thrown uphill from the base of a hill inclined at 30° to the horizontal. The initial velocity was 15 m/s at 60° to the horizontal. a Show that the parabolic path of the ball has parametric equations and y = -5t2 + 15V31. X = part C only b Hence find the Cartesian equation of the path. * ci Find how far up the hill the ball landed (measuring along the slope), ii Find the time of flight.