Advanced Placement Calculus 2016 Graphical Numerical Algebraic Fifth Edition Student Edition
5th Edition
ISBN: 9780133311617
Author: Prentice Hall
Publisher: Prentice Hall
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2. Find a Taylor polynomial of degree N=5 for f(x) D
1+x xpanded about xo=0.
D.
Pick two of the given functions and determine up to the 5th degree Taylor
polynomial:
a. g(x) = 2xe* about x = -1
b. h(x) = cos (2x + n) about x = 0
Find the third order Taylor polynomial of the function f(x)= tanx in powers of (x-1).
Select one:
1
(x-1)3
1+
24
1
-(x-1)3
24
1
(x-1)3
4
None of them
+
4
24
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- Fill in the coefficients of the degree 3 Taylor polynomial for f(x) = sin x centered at x = 3 T3(x) = [ Select ] %D [ Select ] - (x – ) + [ Select ] (x - 5)² 3 [ Select ] - (x - 5)* IT 3arrow_forwardhelp asaparrow_forwardbelow: Construct polynomial interpolation in mentioned interval of the functions (a) sinx in [0, 2π] (b) tan (1+x) in [0, 1] (c) exp (2²1) in [2,3] (-) in (-1,1] (d) exp (e) √ in [4,9] Choose the polynomial degree in Problem 1 in such a way that the interpolation error is less than 10-³.arrow_forward
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