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). b) Then justify whether the approximate value found in part a is greater or less than (r), without using a calculator and without substituting the value into the equation (*).
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). b) Then justify whether the approximate value found in part a is greater or less than (r), without using a calculator and without substituting the value into the equation (*).
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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).
b) Then justify whether the approximate value found in part a is greater or less than (r), without using a calculator and without substituting the value into the equation (*).
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