Let the function f (x) = x² . 5k (a) Find " f(x)dx by completing the following table using Romberg algorithm. Leave your answer in terms of the unknown variable k. Show all the necessary working steps. m=0 m =1 m=2 R(0,0) R(1,0) R(2,0) n=0 R(1,1) R(2,1) n=1 n= 2 R(2,2) (b) Use your answer in (a) to find R(2,2) when k =0.1.
Let the function f (x) = x² . 5k (a) Find " f(x)dx by completing the following table using Romberg algorithm. Leave your answer in terms of the unknown variable k. Show all the necessary working steps. m=0 m =1 m=2 R(0,0) R(1,0) R(2,0) n=0 R(1,1) R(2,1) n=1 n= 2 R(2,2) (b) Use your answer in (a) to find R(2,2) when k =0.1.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.3: The Natural Exponential Function
Problem 52E
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Transcribed Image Text:Let the function f (x) = x² .
5k
(a)
Find " f(x)dx by completing the following table using Romberg algorithm. Leave
your answer in terms of the unknown variable k.
Show all the necessary working steps.
m=0
m =1
m=2
R(0,0)
R(1,0)
R(2,0)
n=0
R(1,1)
R(2,1)
n=1
n= 2
R(2,2)
(b)
Use your answer in (a) to find R(2,2) when k =0.1.
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