The following function is positive and negative on the given interval. f(x) = 8 - 2x2; [0,4] 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 [0,4] make positive and negative contributions to the net area. 18- 36- 18 24- 12- 24- 12- 12- 12- X 0- -12- 246 6 8 -12- -12- -24- -18 -24- -36 b. The net area, approximated using the left Riemann sum, is 4 . The net area, approximated using the right Riemann sum, is - 28 . The net area, approximated using the midpoint Riemann sum, is - 10. c. Which intervals of [0,4] make positive and negative contributions to the net area? Choose the correct answer below. O A. Positive contributions on [1,4]; negative contributions on [0,1] O B. Positive contributions on [0,1]; negative contributions on [1,4] O C. Positive contributions on [0,2]; negative contributions on [2,4] O D. Positive contributions on [2,4]; negative contributions on [0,2]Use geometry (not Riemann sums) to evaluate the following definite integral. Sketch a graph of the integrand, show the region in question, and interpret your results. if xs2 * (x)dx, where f (x ) = 4 3 x - 2 if x > 2 Sketch a graph of the integrand, and then shade the region in question. Choose the correct graph below. O A. O B. C. 12- 12- X X A [f( x)dx = (Simplify your answer. Type an integer or a decimal.)Points: 4 of 6 Save Question list K Suppose an airline policy states that all baggage must be box-shaped with a sum of length, width, and height not exceeding 78 in. What are the dimensions and volume of a square-based box with the greatest volume under these conditions? Question 1 The length of the square-end edge is 26 in. Question 2 The box height is 26 in. The greatest volume of the box is |in3. Incorrect: 0 Question 3 Help me solve this View an example Get more help - Clear all Check answerPoints: 4 of 6 Save Question list K Suppose an airline policy states that all baggage must be box-shaped with a sum of length, width, and height not exceeding 78 in. What are the dimensions and volume of a square-based box with the greatest volume under these conditions? Question 1 The length of the square-end edge is 26 in. Question 2 The box height is 26 in. The greatest volume of the box is |in3. Incorrect: 0 Question 3 Help me solve this View an example Get more help - Clear all Check answer(x) Points: 0 of 2 Save ? Help Question list For the function f, given below, find the antiderivative F that satisfies F(1) = 1. K f( x) =x - 5x-2+1 Question 3 The antiderivative that satisfies the given condition is F(x) =]. Question 4 Question 5 Question 6 Incorrect: 1 Question 7 Question 8 x Question 9 Help me solve this View an example Get more help - Clear all Check answerConsider the following descriptions of the vertical motion of an object subject only to the acceleration due to gravity. ? Help Question list K Begin with the acceleration equation a(t) = v'(t) = g, where g = -9.8 m/s2. a. Find the velocity of the object for all relevant times. b. Find the position of the object for all relevant times. c. Find the time when the object reaches its highest point. What is the height? Question 4 d. Find the time when the object strikes the ground. A softball is popped up vertically (from the ground) with a velocity of 35 m/s. Question 5 a. v(t) = Question 6 Question 7 Incorrect: 1 Question 8 X Question 9 Question 10 Help me solve this View an example Get more help - Clear all Check