ep9 - 92.131 Calculus1 Newton’s Method 1 Using Newton’s...

Info iconThis preview shows pages 1–3. Sign up to view the full content.

View Full Document Right Arrow Icon

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: 92.131 Calculus1 Newton’s Method 1) Using Newton’s Method, find the first 2 approximations to the positive root of 1 2 = − − x x . Start with 2 = x , calculate 2 1 and , x x . Compare this to the exact solution. 2) Using Newton’s Method, find the first 2 approximations to the positive root of 3 2 4 = − x x . Start with 2 = x , calculate 2 1 and , x x . Compare this to the exact solution. 3) Using Newton’s Method, find the first 2 approximations to the positive root of 2 3 = − x . Start with 1 = x , calculate 2 1 and , x x . Explain your result. 4) There is one value of x in the interval [1, 2] where the functions 2 4 4 x x y − = and x y 2 − = intersect. i) Give the recursion equation for solving this problem using Newton’s method. ii) Starting with 2 = x , approximate the positive solution by 2 x 5) Approximate 3 7 − to four decimal places. 92.131 Calculus1 Newton’s Method Solutions: 1) With 1 ) ( 2 − − = x x x f , 1 2 ) ( − = ′ x x f , and so the recursion relation is...
View Full Document

This note was uploaded on 02/13/2012 for the course MATH 92.131 taught by Professor Staff during the Fall '09 term at UMass Lowell.

Page1 / 3

ep9 - 92.131 Calculus1 Newton’s Method 1 Using Newton’s...

This preview shows document pages 1 - 3. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online