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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 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 of f 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 | | make positive and negative contributions to the net area. a. Choose the correct answer below. O A. O B. O C. O D. Q 2- Q 9 7 -1- -2- 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 7.|make positive and negative contributions to the net area? O A. Positive on 7 : negative on x. a O B. Positive on [0,n]; negative on [n,2x] O C. Positive on I, 4 : negative on Z IFind 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(!) = s(!) =
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