6.L Graph y sin z and the Taylor polynomialT₂M+1(x) =M (-1)"2n+1(2n + 1)!700on the interval (-2, 2n) for M = 1, 2, 3, ..., until you find a value of M for which there's noperceptible difference between the two graphs.

As per the question we are given the curve of y = sin(x) and its corresponding Taylor's series…

Answered: L Graph y sin z and the Taylor…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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1. (a) Draw the graphs of the functions x and x in the plane. Then find all integers n > 2 such that (0, 0) is an inflection point of the function f(x) = x". (x + 1)®x³(x – 2)ª(x – 4)³ for all x. Find all x (b) The second derivative f" of f is given by f"(x) corresponding to inflection points of the graph of f. (c) A polynomial function g has degree 18 (like the degree of f" in part (b)). What is the maximum number of inflection points that the graph of g could possibly have? Explain your answer. (d) From (a) - (c) we see that just because g"(c) = 0 does not mean that (c, g(c)) is an inflection point. What additional property must exist for (c, g(c)) to necessarily be an inflection point?
Please give the number 1 answer! Thank you!
10) Use Lagrange coefficient polynomial L3,2(x) to find L3,2(5) using the nodes Xo = 3,x1 = 4, x2 = 6,x3 = 8
5. Find the Fourier Coefficients for the following functions on the given intervals: (a) f(x) = x³ (b) f(x) = x³ [-n, 7] [-1, 1) 0 -27
Q2/ The sequence {x} has the Z transform F(z) 3z(z-1) %3D z3-2z2-4z+8 Find {xg}
Suppose And Xn Xo = 2√3, Yo = 3, = Yn 2xn-1Yn-1 Xn-1 + Yn-1 = √XnYn-1 For all n E N Prove that Xn decreases (monotonically decreasing) and converges to x (xnx) and yn increases (monotonically increasing) and converges to y (yn 1 y) as n approaches to infinity for some x, y E R. Use the Monotone Convergence Theorem.
Ex. 5) For R and Q functions and given that: Q(-1) = 5, R(-1) = -4, R(5) = 7; || Q'(-1) =-3, R'(-1) =2, R'(5) =-1 If f(x) = R(Q(x)), then evaluate f"(-1). f"(-1)=
5
(1) 3. 3 Z = 6x, X2 + X, + X, + 106 find the endpcints of the function

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L Graph y sin z and the Taylor polynomial T2M +1(n) = Σ n=0 M (-1)"z2n+1 (2n + 1)! on the interval (-2, 2n) for M = 1, 2, 3, ..., until you find a value of M for which there's no perceptible difference between the two graphs.