8. .53 points sCacET6 77.026 Find the approximations Ln, Rn, Tn, and Mn for n = 5, 10, and 20. Th...
Find the approximations TM, and S, for n = 6 and 12. Then compute the corresponding actual errors Et, Em and Es. (Round your answers to six decimal places. You may wish to use the sum command on a computer algebra system.) What observations can you make? In particular, what happens to the errors when n is doubled? 33.r'da 133 n To Mn Sn 6 12 n ET EM Es 6 12 Et and Em are decrease by a factor...
Find the approximations , and for , and . Then compute the corresponding errors , and . (Round your answers to six decimal places. You may wish to use the sum command on a computer algebra system.) What observations can you make? In particular, what happens to the errors when is doubled? re dr re dr
(1 point) Let f(x) = x2 (a) Compute S.' f(x) dx. 0.25 (b) Compute the approximations L, R , Tn, and M, for n = 4, 8, and 16 for the integral in part (a). For each of these, compute the corresponding absolute error. Note: Make sure all answers are correct to six decimal places. | L4 = 0.140625 \ELI = 0.109375 R4 = TERI = 0.265625 |ET|= 0.156249 M4 = |Eml= Lg = |EL= Rg = Er = Tg...
(2.5 pts) Consider a numerical approximation to s° V1 + x*dx (our methods of integrating don't work for this function, so it is our only option). For each of Ln, Rn, Mn, Tn, and Sn find n so that the approximation is accurate to six decimal places (i.e. off by no more than 10-6) Note: this problem deals strictly with finding the value of K and then choosing n so that the error is small enough. You do not need...