Answer each of the problems. Make sure to show your work. 1) Find the second derivative of f(x) = 24 /x 2) If y = cos x, what is y (x)? 3) Find (61 + 21 -9) 4) Find the third derivative of g(x) = e". 5) An object moves along a line according to the position function x(1) = 3 + ta -t*. Find the acceleration function. 6) A weight oscillates in a vertical motion according to the position function y(1) = -5 cost. Assuming t 2 0. when will the acceleration of the weight be zero for the first time? 7) An object in free fall has its distance from the ground measured by the function off) = -4.9t' + 50, where d is in meters and f is in seconds, If gravity is the only acceleration affecting the object, what is gravity's constant value (include units in your answer)