The function r(t) = (0, 5+ 3 cos (4t), 3 sin (4t)) traces a circle. Determine the radius, center, and plane containing the circle. (Use symbolic notation and fractions where needed.) radius: (Use symbolic notation and fractions where needed. Give your answer as the coordinates of a point in the form (* *, * ).) center: The circle lies in the xy-plane xz-plane yz-plane

Y= ____ (cos or sin) (____ x)

The angle 0 made by a swinging pendulum and a vertical line is given by 0 = 0.8 cos (xt) radians, where time t is measured in seconds. What is the maximum (positive) angle made by the pendulum? (Use decimal notation. Give your answer to one decimal place.) maximum angle: radian How often does the pendulum return to this maximum ang (Give an exact answer. Use symbolic notation and fractions where needed.) pendulum returns to maximum angle: seconds

2. Write the expression in terms of x and y only. You do not need to rationalize your answer, however, write your answer as one fraction. sin (cos-1 x – tan-1 4y)