have a good day sie please like.it thanks alot
[-13.33 Points] DETAILS SCALCET8 11.10.507.XP. Use a Maclaurin series in this table to obtain the Maclaurin...
40 36. [-/1 Points] DETAILS SCALCET8 11.10.037. Use a Maclaurin series in this table to obtain the Maclaurin series for the given function. F(x) = x cos(9x) Σ n = 0
Use a Maclaurin series in the table below to obtain the Maclaurin series for the given function. f(x) = 2 cos( - Śr-1+r R - 1 R-00 R- R-00 sin x - Žr-"* )---+--+... cos x= -1- -1- -... ton's - Ž<--*--- -... (1 +"-().-1+2+4* + – 1968 – 2x+ R-1 .. R-1
Use a Maclaurin series in the table below to obtain the Maclaurin series for the given function. f(x) = 5 cos( ) Š f(x) n = 0 T-sr x" = 1 + x + x2 + x + ... R=1 x x et = 1 + + + + R = 00 1! 2! 3! 20+1 sin x= (-1)" (2n + 1)! = X- + +... R=00 3! 5! 7! 2 r+ COS X = + — +... R= 00...
We were unable to transcribe this imageUse a Maclaurin series in this table to obtain the Maclaurin series for the given function. 5x-sin(5x) 3x 125 18 ifx=0 n=0 Use a Maclaurin series in this table to obtain the Maclaurin series for the given function. 5x-sin(5x) 3x 125 18 ifx=0 n=0
Use a Maclaurin series in this table to obtain the Maclaurin series for the given function. f(x) = 7x cos(2x2) (c) Use part (b) to find a power series for AUX) - 1621) 1x) - -1) ( 2.6 +1 +3 What is the radius of convergence, R? R-6 Find the Maclourin series for FUX) using the definition of a Maclaurin series. Assume that f has a power series expansion. Do not show that Ra(x) +0.1 Rox) = sin( Find the...
34. [-12 Points] DETAILS SCALCET8 11.9.501.XP. Find a power series representation for the function. (Give your power series representation centered at x = 0.) 9 f(x) = 16 + x 00 f(x) n = 0 Determine the interval of convergence. (Enter your answer using interval notation.)
Use a Maclaurin series in this table to obtain the Maclaurin series for the given function. x8 f(x) V5 + x Σ (2n – 1) n!5" + 1/2. 2n • 3. 5. .... (-1)" + 1 1· 2. 4. 6 . .... (2n) n + 8 (-1)" n!5" + 1/2. 2n n = 1 1: 3. 5. **. (2n - 1) (-1)" + 8 n!5" + 1/2. 2n x8 1:3. 5. .... (2n - 1) Σ n!5" + 1/2. 2n...
6. [1/2 Points] DETAILS PREVIOUS ANSWERS SCALCET8 11.10.013. MY NOTES ASK YOUR TE Find the Maclaurin series for f(x) using the definition of a Maclaurin series. [Assume that f has a power series expansion. Do not show that R,(x) > 0.] f(x) = sin(x) f(x) = 3 ( xan (-1)" (2n)! n = 0 x Find the associated radius of convergence R. R = ♡ Need Help? Read It Talk to a Tutor
16. [-13 Points) DETAILS SCALCET8 7.7.505.XP. MY NOTES ASK YOUR TEACH Use (a) the Trapezoidal Rule, (b) the Midpoint Rule, and (c) Simpson's Rule to approximate the given integral with the specified value of n. (Round your answers to six decimal places.) 5 cos(2x) dx, n = 4 5 si X (a) the Trapezoidal Rule (b) the Midpoint Rule (c) Simpson's Rule
33. [-/2 Points] DETAILS SCALCET8 11.8.517.XP. Find the radius of convergence, R, of the series. DO (4x + 5)" n? n = 1 R= Find the interval, I, of convergence of the series. (Enter your answer using interval notation.) I =