Question 8 (1 point) For the exponential function, y = 6", the slope of the tangent at any point on the function is equal to the at that point. Type the correct answer for the blank. Question 9 (3 points) What angle (in degrees) does the tangent line to the curve fat) = sin (3x) at the origin make with the x-axis. Question 10 (1 point) Find the tenth derivative of y = 10e 10x O 10e 10z O 1010 e 10r O 109 102 O 1011 e10zQuestion 11 (2 points) Find the location (x value) of both the global max and min for the following function f (ze) = - sin(x) over [0, n] Blank 1 - Max Blank 2 - Min Blank # 1 Blank # 2 Question 12 (3 points) The horizontal displacement of a swinging pendulum is given by a (t) = 1.5 cos(t) e-0.05t where x(t) is the horizontal displacement, in cm, from the lowest point of the swing as a function of time, t, in seconds. Determine the FIRST time the swing would change its direction of motion. State the final equation you solved to get this time. Solution format: 1.01 seconds, f(t) = 2/3 A/Question 13 (1 point) Two particles leave the origin at the same time and move along the y-axis with their respective positions determined by the functions y1 = cos 2t and 12 = 4sint for 0