10. (8 poinis) Approximate the sum of the series Σ-, using the 20th partial sum, s20 Round to 4 d...
use the sum of the first ten terms to approximate the sum of the series -Estimate the error by takingthe average of the upper (Hint: Use trigonometric substitution, Round your answers to three decimal places Theorem 16. Remainder Estimate for the Integral Test Let f(x) be a positive-valued continuous decreasing function on the interval [I,0o) such that f(n): an for every natural number n. lf the series Σ an converges, then f(x)dx s R f(x)dx use the sum of the...
Use the sum of the first 10 terms to approximate the sum of the series. (Round your answers to five decimal places.) Σ sin2(2n) n=1 S2 Estimate the error. (Use the remainder Estimate for the Integral Test.) errors Need Help? Talk to a Tutor Read it
Use the sum of the first 10 terms to approximate the sum S of the series. (Round your answers to five decimal places.) 4 n 1 n 1 S Estimate the error. (Use the Remainder Estimate for the Integral Test.) error s Use the sum of the first 10 terms to approximate the sum S of the series. (Round your answers to five decimal places.) 4 n 1 n 1 S Estimate the error. (Use the Remainder Estimate for the...
Use the sum of the first 10 terms to approximate the sum S of the series. (Round your answers to five decimal places.) ∞ sin2 6n n2 n = 1 S ≈ Estimate the error. (Use the Remainder Estimate for the Integral Test.) error ≤
Use the sum of the first 10 terms to approximate the sum S of the series. (Round your answers to five decimal places.) 5 LV n4 + 3 n = 1 S Estimate the error. (Use the Remainder Estimate for the Integral Test.) errors
Use the sum of the first 10 terms to approximate the sum s of the series. (Round your answers to five decimal places.) sin?(20n) n = 1 Sa Estimate the error. (Use the remainder Estimate for the Integral Test.) error s 0.10000 x Need Help? Read It Talk to a Tutor
1199031 Consider the following series 1 (a) Use a graphing utility to graph several partial suns of the series. 6 n-1 n-6 -3 (b) Find the sum of the series and its radius of convergence. (e) Use a graphing utility and 50 terms of the serles to approximate the sum when x -0.5. (Round your answer to six decimal (d) Determine what the approximation represents. The sum from part (c) is an approximation of In(0.3) Determine how good the approximation...
Let Pbé à pósitive, continuous, and decreasing function for x 2 1, such that an-n). If the series an n 1 converges to S, then the remainder RN -S-Sw is bounded by Use the result above to approximate the sum of the convergent series using the indicated number of terms. (Round your answers to four decimal place Σ ,T, ten terms n2 +1' Include an estimate of the maximum error for your approximation. (Give your answer to four decimal places.)...
Sec6.5: Problem 6 Previous Problem List Next (2 points) Book Problem 17 4, to approximate the integral 7e dx (a) Use the Midpoint Rule, with n MA (Round your answers to six decimal places.) (b) Compute the value of the definite integral in part (a) using your calculator, such as MATH 9 on the TI83/84 or 2ND 7 on the TI-89. 7edx (c) The error involved in the approximation of part (a) is Ем — Те ах Ма (d) The...
Find the sum of the finite geometric series using the formula for Sn Σ 2(105/-1 i- 1 The sum of the finite geometric series is Sn (Round to four decimal places.)