# Sp02ex1 - a unique solution B For the value of K found in...

This preview shows pages 1–5. Sign up to view the full content.

Sp 02 EGN 3420 EXAM I Name________________________ SHOW ALL WORK! Problem 1 (20 pts) Given the function 2 ( ) , x f x xe = a) Find f 2 ( x ), the second order truncated Taylor Series Expansion of the function about the point x 0 . Leave your answer in terms of x and x 0 . Note: Your final answer should not be f x f x f x x x f x x x 2 0 0 0 0 2 2 ( ) ( ) ( )( ) ( ) ( ) = + - + ′′ - b) Find then truncation error in f 2 ( x ) at x = 0.75 when 0 x = 0.5.

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

View Full Document
Sp 02 EGN 3420 EXAM I Name________________________ SHOW ALL WORK! Problem 2 (20 pts) Solve the system of equations Ax b = by either finding A - 1 and then using 1 x A b - = or by the Gauss-Jordan method. Leave all answers in terms of fractions. Use either method covered in class to find A - 1 . 15 2 0 3 2 4 50 x y z x y z x y z + + = - + = + + =
Sp 02 EGN 3420 EXAM I Name________________________ SHOW ALL WORK! Problem 3 (20 pts) For the system of equations 1 2 3 4 1 2 3 4 1 2 3 4 2 3 4 10 K 2 2 1 2 3 4 7 3 2 3 0 x x x x x x x x x x x x x x x + + + = + + - = - + - = - + - = A) Find the value of K for which there is not

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

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: a unique solution. B) For the value of K found in Part A) is the systems of equations consistent? Sp 02 EGN 3420 EXAM I Name________________________ SHOW ALL WORK! Problem 4 (20 pts) For the system of equations below 2 3 3 4 2 2 2 3 4 3 3 u x y z u x y z u x y z x y z + +-=-+-=--+-= + + = A) Show there are an infinite number of solutions. B) Without solving for y , determine if y is arbitrary. Sp 02 EGN 3420 EXAM I Name________________________ SHOW ALL WORK! Problem 5 (15 pts) The solution to the systems of equations Ax b = below is 1 2 . 3 x = 6 1 3 2 3 x y z Kx y z x Ky z + + =-+ = +-= -Find the value of K ....
View Full Document

## This note was uploaded on 06/09/2011 for the course EGM 4320 taught by Professor Klee during the Spring '11 term at University of Central Florida.

### Page1 / 5

Sp02ex1 - a unique solution B For the value of K found in...

This preview shows document pages 1 - 5. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online