(a) Find the approximations T10 M10 and $10 for T10 M10 = 31.736376 32.131973 $10 32.001750 ALCE19 7.7.021. MY NOTES ASK YOUR TEACHER PRACTICE ANOTH 16 sin(x) dx. (Round your answers to six decimal places.) Jo Find the corresponding errors E, E and Es (Round your answers to six decimal places.) ET =0.263624 EM Es = -0.131973 -0.001750 (b) Compare the actual errors in part (a) with the error estimates found by using the smallest possible values for K in the theorem about error bounds for trapezoidal and midpoint rules and the theorem about error bound for Simpson's rule.(Round your answers to six decimal places.) IEI EM 0.413417 0.206708 IES 0.002720 x n' (c) Using the values of K from part (b), how large do we have to choose n so that the approximations T M and S to the integral in part (a) are accurate to within 0.00001? For T = 2033 x For M n = 1438 For S S= 41 'n' x