2x+ 4 if x 4 a. Use the definition of continuity at a point to check if f (x) is continuous when x = -3? f ( xx ) = 25# # 4 = 20- 3)+4 5 10 = 560 - 5 (-3) = -15 =3-2 02 82 C(- 3) = 3-(-GC) 9c Find the value of C that will make f (x) continuous at x = 4? . f (x ) = 5(4) DC = 43. (10 points ) Find the equation of the line tangent to the curve f (x) = 2x2-x3 x 2 at x = -2. Do not use the definition of the derivative but use short-cut. 3rint Name 1. (10 points) A pendulum's horizontal displacement from rest in inches as a function of time is given by d(t) = 10 cos (t ) + 8t where t is the time in seconds with t = 0 being the initial displacement (when the pendulum is let go) and to the right is the positive direction. Find the acceleration of the pendulum 25 seconds after release. and interpret your result. (one decimal place) with units