1. With x= -0.60, x= -0.55, x= -0.50, x= -0.45, x= -0.40, x= -0.35, x= -0.30, find f"(-0.45) using: a) 3-point Central Difference b) 4-point Backward Difference c) 4-point Forward Difference d) 5 point Contral Difforonco

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter3: Linear And Nonlinear Functions
Section3.2: Zeros Of Linear Fumctions
Problem 53PFA
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Question
-08
Problem 2: Consider the function:
ƒ(x) = 5x² + 3x³
0.8-
0.6-
0.4-
-0.
-0.4
-0.2+
0.2
0.4
0.6
1.
With x= -0.60, x= -0.55, x= -0.50, x= -0.45,
x= -0.40, x= -0.35, x= -0.30, find f"(-0.45) using:
a) 3-point Central Difference
b) 4-point Backward Difference
c) 4-point Forward Difference
d) 5-point Central Difference
e) 3-point Backward difference
f) 3-point Forward Difference
2. Compute the relative error (%) for each method
0.8
Transcribed Image Text:-08 Problem 2: Consider the function: ƒ(x) = 5x² + 3x³ 0.8- 0.6- 0.4- -0. -0.4 -0.2+ 0.2 0.4 0.6 1. With x= -0.60, x= -0.55, x= -0.50, x= -0.45, x= -0.40, x= -0.35, x= -0.30, find f"(-0.45) using: a) 3-point Central Difference b) 4-point Backward Difference c) 4-point Forward Difference d) 5-point Central Difference e) 3-point Backward difference f) 3-point Forward Difference 2. Compute the relative error (%) for each method 0.8
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