16. Objectives 34: Use the fact that n! no to find a Maclaurin series for cosh...
5. (14,5) Here are some details about the function f(x) = cosh x. Use these details and the formula for Maclaurin series to find the Maclaurin series for f(x) = cosh x. Write out at least 6 terms of your answer and give your answer in summation notation f(x) = coshx f'(x) = sinh x f"(x)=cosh x f(0) = cosh 0 = 1 f'(0) = sinh 0 = 0 6. (12,4) In polar coordinates the graph of r = 7+7sin()...
Please answer all the questions, don't just answer one please answer all of them and show all the steps 11. (a) Use known scries to obtain the Maclaurin series (that is, the Taylor series Express your answer using summation 509 centered at 0) for() (b) Use your answer to part (a) to obtain the Maclaurin series for g(r) arctan(r) (a) Write the first three nonzeTo terms of the Maclaurin series of sin(r). 8. (b) Write the first three nonzero terms...
a. Find the first four nonzero terms of the Maclaurin series for the given function. b. Write the power series using summation notation. c. Determine the interval of convergence of the series. f(x)=92 -2x a. The first nonzero term of the Maclaurin series is The second nonzero term of the Maclaurin series is The third nonzero term of the Maclaurin series is The fourth nonzero term of the Maclaurin series is b. Write the power series using summation notation. 00...
3. (5 points) Use the definition of a Maclaurin series to find the Maclaurin series for f(x). Calculate the radius of convergence. Be sure to express your final answer in sigma notation. You must show your work or no credit will be given. f(x) = ln(1 + x)
The Maclaurin series for sin(x) is x + - + ... 3! 5! 7! sin You need not write your answer in summation notation, but you do need to list at least 4 nonzero terms. b) Find the Maclaurin series for xsin(x). You need not write your answer in summation notation, but you do need to list at least 4 nonzero terms. c) Use the first four terms of the appropriate power series to approximate V2 2
Write the Maclaurin series for f(x)=8cos4x2 as n=0cnxn Find the following coefficients. Write the Maclaurin series for f(x) = 8 cos(4x) as Conten. n=0 Find the following coefficients. II Co C2 = C4 C6 = Cg =
Use the binomial series to find the Maclaurin series for the function. f(x) = (utva (1 + x)4 f(x) = Σ n = 0 x Need Help? Read It Talk to a Tutor Submit Answer
Find the Maclaurin series for the function. (Use the table of power series for elementary functions.) f(x) = (cos(x2))2 f(x) = _______ Find the Maclaurin series for the function. f(x) = x3sin(x) f(x) = _______
16. (5 marks) Find a power series (or the Maclaurin Series) for f(x) determine the radius of convergence. 1 and 4 + x2
(1 point) Use a Maclaurin series derived in the text to derive the Maclaurin series for the function f(x) = 0. Find the first 4 nonzero terms in the series, that is write down the Taylor polynomial with 4 nonzero terms. 1+x/18+X^2/600+x^3/35280