3. A woman launches her boat from point A on a bank of a straight river, 3 km wide, and wants to reach point B, 8 km downstream on the opposite shore. She can either row all the way to point B, or she can row to a closer point on the opposite shore, and then run the rest of the way. Let point C' denote where she lands on the opposite shore. (a) (5 pts) On the picture below, label points A, B, and C. Also, label all applicable distances. Shore River Shore (b) (10 pts) If she can row 8 km/h and run 10 km/h, where should she land on the opposite bank to reach point B as soon as possible? (Recall that time = %) 4. We will calculate - 12 - 3x' dx in the following two ways. (a) (5 pts) Using the Fundamental Theorem of Calculus (b) (10 pts) Using the limit definition5. (15 pts) The acceleration of a particle is given by a(t) = 4. (a) Find the velocity v(t) of the particle given v(2) = 0. (b) Find the displacement of the particle on the interval [0, 3]. () Find the total distance traveled by the particle on the interval [0, 3]. \f