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MA442-HW20-Taylor-Maclaurin-Series- and-Applications-Sec11.10-11.11: Problem 16 Previous Problem Problem List Next Problem (1 point) Find the local quadratic...
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
3.1 Quadratic Functions and Applications: Previous Problem Problem List Next Problem (1 point) Consider the quadratic equation y = 4x2 + 80.+5. Complete the square to express the quadratic in standard form y=al h = Note: You can earn partial credit on this problem. Preview My Answers Submit Answers You have attempted this problem 1 time. Your overall recorded score is 33%. You have unlimited attempts remaining.
D4: Problem 11 Previous Problem Problem List Next Problem 1 point) Find the second-degree Taylor polynomial T2(x) for the function f(x)- V15 + x2 at the number x1. (x)- Answer: 12
D4: Problem 11 Previous Problem Problem List Next Problem 1 point) Find the second-degree Taylor polynomial T2(x) for the function f(x)- V15 + x2 at the number x1. (x)- Answer: 12
Problem 1. Find the Maclaurin series for f(x) = 172 Find the interval of convergence for the Taylor series you found.
Section 11.10: Problem 5 Previous Problem Problem List Next Problem (1 point) Find the Mac launn senes for g z) using the definition of a Maclaurin series Assume that g has a power senes expansion, Do not show that Rn (z) → 0 Also find the associated radius of convergence g(x) (1- z)2 C-9(0) g'(x) 1-g (0)
Section 11.10: Problem 5 Previous Problem Problem List Next Problem (1 point) Find the Mac launn senes for g z) using the definition...
(1 point) Find the Maclaurin series and corresponding interval of convergence of the following function. 1 f(2) 1+ 72 f(x) = Σ n=0 The interval of convergence is: (1 point) Consider the power series 4)" (x + 2)". Vn n=1 Find the radius of convergence R. If it is infinite, type "infinity" or "inf". Answer: R= What is the interval of convergence? Answer (in interval notation): (1 point) Find all the values of x such that the given series would...
72 Partial Derivatives: Problem 16 Next Previous Problem List (1 point) Suppose the f(x, y) is a smooth function and that its partial derivatives have the values, f(0,-4) 5 and f,(0, -4) =-1. Given that f(0,-4) = 0, use this information to estimate the value of f(1,-3) Note this is analogous to finding the tangent line approximation to a function of one variable. In fancy terms, it is the first Taylor approximation. Estimate of (integer value) f(1,-3)
72 Partial Derivatives:...
Previous Problem Problem List Next Problem (1 point) Find the local linearization of f(x) = x2 at -6. 1_6(x) = Preview My Answers Submit Answers
MA442-HW19-Power-Series-and- Representations-of-Functions-Sec11.& 11.9: Problem 5 Previous Problem Problem List Next Problem (1 point) For the following indefinite integral, find the full power series centered at x = 0 and then give the first 5 nonzero terms of the power series. 1 f(x) = €4x 2x dx 00 f(x)=C+ n=1 f(x) = C+ + + + + + ... Note. You can earn nartinlandit ut
Use this list of Basic Taylor Series to find the Taylor Series for tan-1(x) based at 0. Give your answer using summation notation, write out the first three non-zero terms, and give the interval on which the series converges. (if you need to enter 00, use the 00 button in CalcPad or type "infinity" in all lower-case.) The Taylor series for tan -1(x) is: The first three non-zero terms are: + + +
The Taylor series converges to tan-1(x) for...