Use Taylor series terms from zero to fourth order to approximate the function: f(x) = x4− 3x2+5x-1 Since xi = 0.8 with h = 1. That is, predict the value of the function at xi+1 = 1.8 with the Taylor Series of first, second, third and fourth order.

Use Taylor series terms from zero to fourth order to approximate the function: f(x) = x4− 3x2+5x-1 Since xi = 0.8 with h = 1. That is, predict the value of the function at xi+1 = 1.8 with the Taylor Series of first, second, third and fourth order.

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter5: Inverse, Exponential, And Logarithmic Functions

Section: Chapter Questions

Problem 18T

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Question

Use Taylor series terms from zero to fourth order to approximate
the function: f(x) = x⁴− 3x²+5x-1

Since xi = 0.8 with h = 1. That is, predict the value of the function at xi+1 = 1.8
with the Taylor Series of first, second, third and fourth order.

f(x):=x' – 3 a² +5 x-1
ri:=0.8
f(ri)=1.4896
ril:=1.8
f(ril)=8.7776
15
12.5
10
7.5
f(x)
25
-0.25
0.25
0.5
0.75
1.25
1.5
1.75
-2.5-

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