2. [-/1 Points] DETAILS LARAPCALC10 5.6.004. Use the rectangles to approximate the area of the region. (Round your answer to three decimal places.) F(x) = 9 - x2, [-3, 3] y 10 L X -4 -2 2 4 Give the exact area obtained using a definite integral. Submit Answer 3. [-/1 Points] DETAILS LARAPCALC10 5.6.010. Use the Midpoint Rule with n = 5 to approximate the area of the region bounded by the graph of f and the x-axis over the interval. (Round your answer to two decimal places.) Function Interval F(x) = V 81 - x2 [1, 9] Sketch the region.4. [-/1 Points] DETAILS LARAPCALC10 5.6.012. Use the Midpoint Rule with n = 5 to approximate the area of the region bounded by the graph of f and the x-axis over the interval. (Round your answer to two decimal places.) Function Interval f( x) = (x3 + 9)3/4 [-1, 1]5. [-l'l Points] LARAPCALC1D 5.6.614. Use the Midpoint Rule with n = 5 to approximate the area of the region bounded by the graph of .Ir and the x-axis over the interval. (Round your answer to four decimal places.) Function In renal 6. [-/1 Points] DETAILS LARAPCALC10 5.6.017. Use the Midpoint Rule with n = 4 to approximate the area of the region bounded by the graph of f and the x-axis over the interval. (Round your answer to four decimal places.) Function Interval f(x) = Vx3 +7 [1, 7]7. [-/1 Points] DETAILS LARAPCALC10 5.6.028. Using the Midpoint Rule program in Appendix E, how large must n be to obtain an approximation that is correct to within 0.01? (Enter the smallest such value of n.) Vx + 5 dx n = Use the Midpoint Rule program in Appendix E and the value of n obtained above to approximate the given integral. (Round your answer to two decimal places.) Submit Answer 8. [-/1 Points] DETAILS LARAPCALC10 5.6.029. Use the Midpoint Rule to estimate the surface area of the pond shown in the figure, where x = 10. (Round your answer to the nearest integer.) 50 f - - - Submit Answer 9. [-/1 Points] DETAILS LARAPCALC10 5.6.030. Use the Midpoint Rule to estimate the surface area (in square feet) of the golf green shown in the figure. 4 ft 26 ft 12 ft 23 ft 14 ft 12 ft 15 ft 25 ft 20 17. [0/1 Points] DETAILS PREVIOUS ANSWERS LARAPCALC10 6.1.054. Use integration by parts to verify the formula. x - lex dx, n > 0 Let u = x" and dv = ex dx, n > 0. Then du = X dx X and v = Therefore, xheax dx = eax | dx