(a) Find the third Taylor polynomial Pa(x) for the function f(z) = VE +i about c 0. %3D f"(c) N. PN(2) = S(e) + f'()(r- e) + (-e) ++ (N)(e), N! %3D 2! n! (b) Approximate V0.5 and V1.5 using Ps(x). (c) Compare your result with actual cube roots (as given by a calculator).

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Solve all 3 parts within 30-40 mins please I'll give you multiple upvote
(a) Find the third Taylor polynomial Pa(r) for the function f(z) = VE +1 about c= 0.
%3D
N.
PN(z) = f(e) + f'()(r - e) +
2!
Σ
N!
n!
(b) Approximate V0.5 and V1.5 using Pa(x).
(c) Compare your result with actual cube roots (as given by a calculator).
Transcribed Image Text:(a) Find the third Taylor polynomial Pa(r) for the function f(z) = VE +1 about c= 0. %3D N. PN(z) = f(e) + f'()(r - e) + 2! Σ N! n! (b) Approximate V0.5 and V1.5 using Pa(x). (c) Compare your result with actual cube roots (as given by a calculator).
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