How large should n be to guarantee that the Trapezoidal Rule approximation to 3 ( - 24 - 16x3 - 90x2 + 1x + 2) da is accurate to within 0.001. 5 n = How large should n be to guarantee that the Simpsons Rule approximation to 3 (- 24 - 16x3- 90x2 + 1x + 2) da is accurate to within 0.001. 5 n = Error Formulas: K (b - a ) 3 Trapezoid Rule: If If' '(x) | 1 Estimate the area under the graph of f(a ) = over the interval [ - 1, 4] using eight approximationg rectangles x+4 and right endpoints. Rn = Repeat the approximation using left endpoints. In = Round answers to 4 places. Remember not to round too early in your calculations.. Question 6 V 29 Use Simpson's Rule and all the data in the following table to estimate the value of the integral f(a':)da':. 23 a: 23 24 25 26 27 23 29 at) 7 -3 6 -2 5 -9 -3 Question Help: El Video 0 Post to forum .Question? 'H ' Use the Trapezoidal Rule, the Midpoint Rule, and Simpson's rule to approximate the integral [9 ln(:r:) d3 3+3: Report answers accurate to 4 places. Remember not to round too early in your calculations. The following table shows the rate of water ow, in liters per minute, through a dam. ------ Wt) (UH-in) \"II-m Approximate the total volume of water that passed through the dam from t=1 to {:25 using Simpson's rule, with n=6. Question 9