The following function is positive and negative on the given interval. f(x) = sin 2x; a. Sketch the function on the given interval. b. Approximate the net area bounded by the graph off and the x-axis on the interval using a left, right, and midpoint Riemann sum with n = 4. C. Use the sketch in part (a) to show which intervals of S,|make positive and negative contributions to the net area. a. Choose the correct answer below. O A. O B. O C. OD. Q 3x b. Use a calculator to approximate the area. The net area, approximated using the left Riemann sum with n = 4, is (Do not round until the final answer. Then round to three decimal places as needed.) Use a calculator to approximate the area. The net area, approximated using the right Riemann sum with n = 4, is. (Do not round until the final answer. Then round to three decimal places as needed.) Use a calculator to approximate the area. The net area, approximated using the midpoint Riemann sum with n = 4, is]. (Do not round until the final answer. Then round to three decimal places as needed.) c. Which intervals of 717|make positive and negative contributions to the net area? O A. Positive on .x ; negative on [x. *x ] O B. Positive on [0,n]; negative on [n,2x] O C. Positive on *. |: negative on [ " xx ]Find the position and velocity of an object moving along a straight line with the given acceleration, initial velocity, and initial position. a(t) = -56, v(0) = 50, and s(0) = 20 V(1) = s(1) =