MA442-HW19-Power-Series-and- Representations-of-Functions-Sec11.& 11.9: Problem 5 Previous Problem Problem List Next Problem (1 point) For the following...
(1 point) For the following indefinite integral, find the full power series centered at 2 O and then give the first 5 nonzero terms of the power series and the open interval of convergence. $(t) = /2 2. In(1+x) dx f(t)=C+ n=1 f(t) = C+ + + +... The open interval of convergence is: (Give your answer in interval notation)
please answer both!!! (1 point) Use the binomial series to find the first 5 nonzero terms of the power series centered at x = 0 for the following function and then give the open interval of convergence for the full power series. 1 f(x) = (5 + x)5 f(x) = + + + + ... + (Give your The open interval of convergence is: answer in interval notation.) (1 point) For the following indefinite integral, find the full power series...
Previous Problem Problem List Next Problem (1 point) Suppose that f(x) and g(x) are given by the power series f(x) 55x +3x2 + 3x3+... and g(x-643x + 4x2 + 3x3 + By multiplying power series, find the first few terms of the series for the product h(x) -f(x) .gx)cccx2 +c3 со 30 c115 C212x C39 Note: You can earn partial credit on this problem. Previous Problem Problem List Next Problem (1 point) Suppose that f(x) and g(x) are given by...
6.1 Power Series and Functions: Problem 3 Previous Problem Problem List Next Problem (1 point) Find all the values of r such that the given series would converge. " In +4
Assignment 6: Problem Previous Problem Problem List Next Problem (1 point) Find the Maclaurin series for the function f(x) = 4x²e-4x in the form (f(x) = 00 Cmx"). Notice if a coefficient requested below is missing in the series then that coefficient is zero and you should enter 0. Find the individual coefficients Now give the general term as a formula involving n
(1 point) Find a power series centered at a = 0 for the function ln(1 + x) When you have found the series, enter the sum of the first five non-zero terms of the series. Find the radius of convergence R of the power series. R= 1 Use the power series you found above, to build a power series for the function f(x) = x? ln(1 + x). Again, enter the first five non-zero terms. What is the radius of...
Homework 5: Problem 4 Previous Problem Problem List Next Problem (1 point) Use the Integral Test to determine whether the infinite series is convergent. 16ne-n2 n=6 Fill in the corresponding integrand and the value of the improper integral. Enter inf for o, -inf for -00, and DNE if the limit does not exist. Compare with some dx = By the Integral Test, the infinite series 16ne-n? n=6 A. converges B. diverges
Previous Problem Problem List Next Problem (1 point) The graph of terms of areas. is shown below. Evaluate each integral by interpreting it in - swdx = 482) 2 [ "sw) dx = 40-p12 3. swdx = (1852 dx = -(8-pi)/2 x = (pi-8y/2 Note: You can click on the graph to enlarge the image. Note. You can earn nartial carlit on this nmblem.
Section 8.6: Problem 1 Previous Problem Problem List Next Problem (1 point) Consider the function 1-23 ,3" x2n, you Write a partial sum for the power series which represents this function consisting of the first 5 nonzero terms. For example, if the series were 2 would write 1 + 3.12 + 3x4 + 3x + 34 r8. Also indicate the radius of convergence. Partial Sum: Radius of Convergence: Note: You can earn partial credit on this problem. Preview My Answers...
Section 8.6: Problem 10 Previous Problem Problem List Next Problem (1 point) Consider the function arctan(2/7). Write a partial sum for the power series which represents this function consisting of the first 5 nonzero terms. For example, if the series were would write 1 + 3x2 + 32 x4 + 3x + 34 28. Also indicate the radius of convergence. Partial Sum: ,3" x?n, you Radius of Convergence: 1 Note: You can earn partial credit on this problem. Preview My...