We have an equation called (*) where e-x = x3 where we have that x is an element of R. Where the unique solution to (*) is called r. a) Use Newton’s method once with the starting value (x0= 1/2 ) to find an approximate value for (r) and then justify that (r) is a fixed point to the function f(x) from image. b) Use the fixed point iteration one time with the starting value x0 = 1/2 to find an approximate value for (r)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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We have an equation called (*) where e-x = x3 where we have that x is an element of R.

Where the unique solution to (*) is called r.

a) Use Newton’s method once with the starting value (x0= 1/2 ) to find an approximate value for (r) and then justify that (r) is a fixed point to the function f(x) from image.

b) Use the fixed point iteration one time with the starting value x0 = 1/2 to find an approximate value for (r)

 

 

f(x)=√e-x
Transcribed Image Text:f(x)=√e-x
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