Can you solve #19 through #24

Thank you

19. [1/6 Points] DETAILS PREVIOUS ANSWERS SCALC9 7.7.002. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER The left, right, Trapezoidal, and Midpoint Rule approximations were used to estimate / f(x) dx, where f is the function whose graph is shown. The estimates were 0.7815, 0.8702, 0.8632, and 0.9590, and the same number of subintervals were used in each case. y = f(x) X 2 (a) Which rule produced which estimate? Ln = 0.9590 RT = To = M = (b) Between which two approximations does the true value of / f(x) dx lie? (smaller value) (larger value) Need Help? Read It20. [-/3 Points] DETAILS SCALC9 7.XP.7.009. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Use the Trapezoidal Rule, the Midpoint Rule, and Simpson's Rule to approximate the given integral with the specified value of n. (Round your answers to six decimal places.) T: 1 231 V 2 + cos(x) dx, n = 4 (a) the Trapezoidal Rule (b) the Midpoint Rule (c) Simpson's Rule Need Help? Read It21. [-I1 Points] DETAILS SCALC9 7.7.022.M|. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER 1 How large should n be to guarantee that the Simpson's Rule approximation to/ 17ex2 dx is accurate to within 0.0001? 0 n2 Need Help? 22. [-/1 Points] DETAILS SCALC9 7.7.030. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER The widths (in meters) of a kidney-shaped swimming pool were measured at 2-meter intervals as indicated in the figure. Use Simpson's Rule to estimate the area of the pool. (Round your answer to the nearest square meter.) :an Need Help? 23. [-I1 Points] DETAILS SCALC9 7.7.040. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER The table shows values of a force function f(x), where x is measured in meters and f(x) in newtons. Use Simpson's Rule to estimate the work done by the force in moving an object a distance of 18 m. joules X 0 3 6 9 12 15 18 f(x) 9.7 9.2 8.6 8.1 7.7 7.6 7.1 Need Help? _' 24. [I3 Points] DETAILS SCALC9 7.7.505.XP. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Use (a) the Trapezoidal Rule, (b) the Midpoint Rule, and (c) Simpson's Rule to approximate the given integral with the specified value of n. (Round your answers to six decimal places.) 5 5 cos(3x) dx n = 4 1 X ' (a) the Trapezoidal Rule (b) the Midpoint Rule (c) Simpson's Rule Need Help