The function f(x) = 2e-1.5x can be used to generate the following table of unequally spaced data: 0.475 0.9808 X f(x) 0 2 0.05 1.8555 0.15 1.5970 Evaluate the integral from a=0 to b=0.6, using. a) analytical means b) the trapezoid rule c) Simpson's rules 0.25 1.3746 For (b) and (c), calculate the relative percent error (&t) 0.35 1.1831 0.6 0.8131

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Question

The function  can be used to generate the following table of unequally spaced data:

x

0

0.05

0.15

0.25

0.35

0.475

0.6

f(x)

2

1.8555

1.5970

1.3746

1.1831

0.9808

0.8131

 

Evaluate the integral from a=0 to b=0.6, using.

  1. a) analytical means
  2. b) the trapezoid rule
  3. c) Simpson's rules

 

For (b) and (c), calculate the relative percent error

 

The function f(x)
X
f(x)
= 2e-1.5x
can be used to generate the following table of unequally spaced data:
0.05
0.15
0.25
0.475
1.8555
1.5970
1.3746
0.9808
0
2
Evaluate the integral from a=0 to b=0.6, using.
a) analytical means
b) the trapezoid rule
c) Simpson's rules
For (b) and (c), calculate the relative percent error (&t)
0.35
1.1831
0.6
0.8131
Transcribed Image Text:The function f(x) X f(x) = 2e-1.5x can be used to generate the following table of unequally spaced data: 0.05 0.15 0.25 0.475 1.8555 1.5970 1.3746 0.9808 0 2 Evaluate the integral from a=0 to b=0.6, using. a) analytical means b) the trapezoid rule c) Simpson's rules For (b) and (c), calculate the relative percent error (&t) 0.35 1.1831 0.6 0.8131
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