(a) Find the approximations T10,M10 and S10 for 016sin(x)dx. (Round your answers to six decimal places.) T10=M10=S10= Find the corresponding errors ET,EM and ES. (Round your answers to six decimal places.) ET=EM=ES= (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.) ETEMES (c) Using the values of K from part (b), how large do we have to choose n so that the approximations Tn,Mn, and Sn to the integral in part (a) are accurate to withln 0.00001 ? For Tn,n, For Mr,n= For sn,n=