(8 points) 4. The shoreline of a lake is a circle with diameter 3 km. Peter stands at point E and wants to reach the diametrically opposite point W. He intends to jog along the north shore to a point P and then swim the straight line distance to W. If he swims at a rate of 3 km/h and jogs at a rate of 24 km/h. How far should he jog in order to arrive at point W in the least amount of time? P jog swim W 3km (10 points) 5. a. Sketch the graphs of the curves y = sin x and y = x showing their points of intersection. b. Use the Intermediate Value Theorem to identify an interval where the equation sinx - " - 0 has a non-zero solution c. Use Newton's method to approximate the non-zero solution of the equation sin. -r= = 0.(4 points) 6. The velocity of an ant running along the edge of a shelf is modeled by the function 5t, 061