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(1 point) Find the polynomial of degree 9 (centered at zero) that best approximates f(x) =...
(1 point) Find the polynomial of degree 9 (centered at zero) that best approximates f(x) 71 +23 Hint: First find a Taylor polynomial for g(2) vite then use this to find the Taylor polynomial you want. 1/2 Now use this polynomial to approximate 1 dx. 1+ 3 Do" s(2) de
Please answer both questions if possible. Thank you :) Assignment5: Problem 11 Previous Problem Problem List Next Problem (1 point) Find the polynomial of degree 9 (centered at zero) that best approximates f(x) = ln(x + 4). Hint: First find a Taylor polynomial for g(x) = ln(x + 4), then use this to find the Taylor polynomial you want. f(x) 1/6 Now use this polynomial to approximate Luca In(x + 4) dx. -1/6 1/6 f(x) dx Assignment5: Problem 12 Previous...
(1 point) Find the Taylor polynomials (centered at zero) of degree h 2, 3, and 4 of f(x) = ln(3x + 7). Taylor polynomial of degree 1 is Taylor polynomial of degree 2 is Taylor polynomial of degree 3 is Taylor polynomial of degree 4 is
(1 point) Find the degree 3 Taylor polynomial T3(x) centered at a = 4 of the function f(x) = (-5x + 24)312]. T3(x) = ? ✓ The function f(x) = (-5x + 24)32) equals its third degree Taylor polynomial T3 (x)/centered at a = 4l. Hint: Graph both of them. If it looks like they are equal, then do the algebra.
Let g( x,y) = sin(xy) − 7x^3 ln(2y) + 1. Find the degree 2 polynomial which best approximates g near the point (π/2, 1).
1,2,3, and 4 Here are some practice exercises for you. 1. Given f(x) e2, find the a. Maclaurin polynomial of degree 5 b. Taylor polynomial of degree 4 centered at 1 c. the Maclaurin series of f and the interval of convergence d. the Taylor series generated by f at x1 2. Find the Taylor series of g(x) at x1. 3. Given x -t2, y t 1, -2 t1, a. sketch the curve. Indicate where t 0 and the orientation...
(1 point) Taylor's Remainder Theorem: Consider the function 1 f(x) = The third degree Taylor polynomial of f(x) centered at a = 2 is given by 1 3 12 60 P3(x) = -(x-2) + -(x - 2)2 – -(x - 2) 23 22! 263! Given that f (4)(x) = how closely does this polynomial approximate f(x) when x = 2.4. That is, if R3(x) = f(x) – P3(x), how large can |R3 (2.4) be? |R3(2.4) 360 x (1 point) Taylor's...
plz show work 1. (a) Find T5(x), the Taylor polynomial of degree 5, for Inx centered at x = 1. (b) Evaluate Ts (3). How close is its value to In 3? (c) The interval of convergence for the Taylor series of In x centered at x= 1 is (0,2). Use the fact that Inx= - In to find a different value of x to use in Ts(x) to approximate In 3. How close is your approximation? 2. Long ago,...
please assist Problem 3 (8 points). Find a Taylor polynomial centered at 0 that approximates f(x) = et on the interval (-2,2] to within an error of 0.1.
Q. f(n) = tan (n) 1) Compute degree - 2 Taylor Polynomial of f(n) centered at ua Je 4 (2) Use the Taylo Polynomial computed to estimate to stimete ! tau (I + 0.1). 3) using the fact that If(x) <3 for o excit tool show to that tapeeestarte 4 the estimate in part (2) is correct to within an error of 0.0005. f(n) = tan (1) To a) Compute the degree a Taylor - Polynomial of fin) centered at...