(2 pts) Consider the following power series. 8(x + 5)" The radius of convergence of this...
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...
(5 pts) Consider the function f(x) = 8e7r. We want to find the Taylor series of f(x) at x = x = -5. (a) The nth derivative of f(x)is f(n)(x) = 8(7)^ne^(7x) At = -5, we get f(n)(-5) = 8(7)^ne^-35 (c) The Taylor series at x = -5 is too T(x) = (3/7^n](^-35)n!/(n+ (x + 5)” n=0 (d) To find the radius of convergence, we use the ratio test. an+1 L= lim n+oo 1/(x+1) |x + 51 an and so...
Prev Up Next (1 pt) Use the Integral Test to determine whether the infinite series is convergent. 7 Inn n2 n=2 Fill in the corresponding integrand and the value of the improper integral. Enter inf for ol, -inf for -00, and DNE if the limit does not exist. Compare with a dr = By the Integral Test, 7 Inn the infinite series Σ n? -2 A. converges B. diverges Note: You can earn partial credit on this problem. Preview Answers...
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...
10.2 Series: Problem 5 Previous Problem Problem List Next Problem (1 point) Let s-Σ an be an infinite series such that SV-: 4-12 TL 1 10 16 (a) What are the values of Σ an and Σ an? n-4 10 16 n 4 (b) What is the value of as? a3 (c) Find a general formula for an TL (d) Find the sum an TL Note: You can earn partial credit on this problem Preview My Answers Submit Answers You...
Previous Problem Problem List Next Problem 4n + (1 point) Use the limit comparison test to determine whether Ž. - converges 1412 p. converge or diverges. (a) Choose a series br with terms of the form bn = and apply the limit comparison test. Write your answer as a fully reduced fraction. For n > 14, lim = lim 1+00 1 00 (b) Evaluate the limit in the previous part. Enter op as infinity and -o as-infinity. If the limit...
g(t) = sin(6t – 8) cos(5t? + 4t). g' (t) = Preview My Answers Submit Answers You have attempted this problem 0 times. You have unlimited attempts remaining. Email instructor (1 point) Let f(x) = V22 +5. f'(x) = f'(2) = F(2) = Note: You can earn partial credit on this problem. Preview My Ansvars Submit Anchor
find d^2y/dx^2 for y=sec(x) I l homework 3/8 Home-work-3: Problem 8 Previous Problem Problem List Next Problem (2 points) Find the equation of the line that is tangent to the curve 3. COS at the point (1, -31). The equation of this tangent line can be written in the form y = mx + b where n = and b Note: You can earn partial credit on this problem Preview My Answers Submit Answers You have attempted this problem 0...
(3 pts) Consider the following list of numbers. Use the shortcut formula to find the standard deviation. 5, 5, 5, 8, 8 standard deviation = Preview Answers Submit Answers You have attempted this problem 0 times. You have unlimited attempts remaining. (5 pts) Consider a box containing the following numbers. 2, 4, 7, 13, 14 The SD for the box is 4.77. Suppose 25 draws are made at random with replacement from the box. The expected value for this sum...
webwork / 2924_tao_sp20 / set_7/14 Set 7: Problem 14 Previous Problem Problem List Next Problem (1 point) The function f(x) = 10x In(1 + x) is represented as a power series: 36) = Ecat Find the following coefficients in the power series. C2 = C4 = cs = C6 = Find the radius of convergence R of the series. R = Note: You can earn partial credit on this problem. Preview My Answers Submit Answers You have attempted this problem...