This question's due date has already passed. You may post a tutorial, but there's no guarantee that the original asker will purchase the tutorial. But other people might!

Question

$1.00 Newton's Method

  • From Mathematics: Calculus
  • Closed, but you can still post tutorials
  • Due on Apr. 12, 2009
  • Asked on Apr 09, 2009 at 3:31:45PM
Asked by :
John1999
John1999 Not confirmed
Rating :No Rating
Questions Asked: 33
Tutorials Posted: 0
 
 
Q:
f(x)=x^5-2x^4+x^3-x^2+2x-3 has a root near 1. Letting x =2 be the first approximation to a root, use Newton's Method to compute the second and third approximations. This third approximation is accurate to how many decimal places? Explain your reasoning.
 

Available Tutorials to this Question
 
$4.00
Computing with Newton's Method - Accuracy of Approximation
  • This tutorial was purchased 1 time and rated A+ by students like you.
  • Posted on Apr 09, 2009 at 4:16:21PM
Posted by :
b_h
b_h
Rating (723):A+
Questions Asked: 0
Tutorials Posted: 834,
Earned: $29,248.48
 
A:
Preview: ... rly 1.70836.<br><br>So our 3rd approximation has 2 digits correct. Let's see if we can justify that another way.<br><br>We're told that the root is near 1. So we'll interpret that to be that the first digit is 1. Notice that the first approximation has no digits correct. The second approximation has 1 as the first digit, so it agrees to 1 digit ...
The full tutorial is about 298 words long .