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X X y = f(1) The graph of f is shown in the figure to the right. Let A(x) = f(t) at and F(x) =
X X y = f(1) The graph of f is shown in the figure to the right. Let A(x) = f(t) at and F(x) = f(t) dt be two area functions for f. Evaluate the following area functions. - 2 Area = 16 Area = 8 a. A( -2) b. F(8) c. A(4) d. F(4) e. A(8) Area = 9 a. A( - 2) = 0 (Simplify your answer.) b. F(8) = - 9 (Simplify your answer.) c. A(4) = 24 (Simplify your answer.) d. F(4) = 0 (Simplify your answer.) e. A(8) = (Simplify your answer.)X A is the value of the area function A(x) = f(t) dt, for 0 Sxs 17. On what intervals (shown in the figure) is A decreasing? (Use the interactive figure to find your answer.) Click here to launch the interactive figure. A is decreasing on. (Simplify your answer. Type your answer in interval notation. Use a comma to separate answers as needed.)Find (i) the net area and (ii) the area of the region above the x-axis bounded by y = 81 - x. Graph the function and indicate the region in question. Graph the function y = 81 - x and find the region bounded by the function above the x-axis. Choose the correct graph below. O A. O B. O C. D. 160 Ay 160 160- 160- X X X 16 X 16 16 16 16 160 160- 160 (i) The net area isTi: Find the net area and the area of the region bounded by y = 6 cosx and the xaxis between x= - E and x= :1. Graph the function and find the region indicated in this question. The net area is . (Simplify your answer.) Find the area between the curve and the x-axis over the indicated interval. 5 y=;; [1.7] The area under the curve is E. (Type an exact answer.) Find the area of the region bounded by the graph of f(x) = sinx and the x-axis on the interval [- TIE/3, 5M6]. (E The area is D. (Type an exact answer, using radicals as needed.)
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