3. The acceleration of an object moving along the number line at time t is given by a(t) = 2t+2. Given that the initial velocity of the object is v(0) =5 and the initial position of the object is S (0) = -4, find the velocity function v(t) and position function $( ) and then find the object's position at time t = 3 . 4. Let f(x) = cos x + 3 , complete the following: a. Sketch a graph of the function over the interval [0, 2x]. b. Approximate the area under the curve (for n = 4) using a Left Riemann Sum. c. Use a definite integral to find the exact area under the curve over the interval [0, 2x]