5." 9 sin(x) dx. (Round your answers to six decimal places.) (a) Find the approximations T10,...
39e1/x dx, (Round your answers to six decimal places.) (a) Find the approximations T10 and M10 for T10 М10 %3 (b) Estimate the errors in the approximations of part (a). (Round your answers to six decimal places.) |EMIS (c) How large do we have to choose n so that the approximations Tn and M to the integral in part (a) are accurate to within 0.0001? for Tn n = for Mn n = Need Heln? Read It Talk to a...
(a) Find the approximations T10 and M10 for 27e1/x dx, (Round your answers to six decimal places.) T1о3 M10 X (b) Estimate the errors in the approximations of part (a). (Round your answers to six decimal places.) |ETI |EMI S (c) How large do we have to choose n so that the approximations Tn and Mn to the integral in part (a) are accurate to with in 0.0001? for Tn n = for M n =
(a) Find the approximations...
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...
part a,b and c
Given. 9 cos(x2) dx Do the following. (a) Find the approximations Tg and Mg for the given integral. (Round your answer to six decimal places.) Tg = 36.581655 x Mg = 31.6967 X (b) Estimate the errors in the approximations Tg and Mg in part (a). (Use the fact that the range of the sine and cosine functions is bounded by +1 to estimate the maximum error. Round your answer to seven decimal places.) Els IEMS...
both
8. .53 points sCacET6 77.026 Find the approximations Ln, Rn, Tn, and Mn for n = 5, 10, and 20. Then compute the corresponding errors EL, ER, ET, and EM. (Round your answers to six decimal places. You may wish to use the sum command on a computer algebra system.) 10 20 EL ET 10 20 What observations can you make? In particular, what happens to the errors when n is doubled? As n is doubled, EL and ER...
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.) Use the Trapezoidal Rule, the Midpoint Rule, and Simpson's Rule to approximate the given integral with the specified value of n.
O 6.26/12.5 points | Previous Answers SCalcET8 7.7.508.XP 5 (a) Find the approximations T4 and M4 for 15e1/x dx. (Round your answers to six decimal places.) T4= 30.478393 Ma =30.213103 (b) Estimate the errors in the approximations of part (a). (Round your answers to six decimal places.) ETI 0.177493 X |EMl S 0.087797 X (c) How large do we have to choose n so that the approximations T and M, to the integral in part (a) are accurate to within...
(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...
Find the sum of the series.
(Round your answer to six decimal places.)
Find the sum of the series. (Round your answer to six decimal places.) (-1)" 229 + 1 no 321 + 1(2n + 1)! Need Help? Read It Talk to a Tutor
Let f(x) = cos(x2). Use (a) the Trapezoidal Rule and (b) the Midpoint Rule to approximate the integral ſo'f(x) dx with n = 8. Give each answer correct to six decimal places. To Mg = (c) Use the fact that IF"(x) = 6 on the interval [0, 1] to estimate the errors in the approximations from part (a). Give each answer correct to six decimal places. Error in Tg = Error in Mg = (d) Using the information in part...