practiceExam1Sample2

# practiceExam1Sample2 - Problem 1[8 points If possible...

This preview shows pages 1–4. Sign up to view the full content.

Problem 1 : [8 points] If possible, rewrite the systems of simultaneous equations defined by in a matrix-vector form that could be solved using Gauss elimination. If this task is not possible, state why. (a) 32 7 12 2 12 2 x yx yy zx y xz y += +− =− + (b) 13 4 31 4 4 21 7 2 22 xx x x x + −= = = 0 0 1

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

View Full Document
Problem 2 : [8 points] For each of the ODEs defined below, calculate by finding the ODE’s exact solution. (1) y (a) 2 x dy x e dx π =+ with . (0) 0 y = (b) with 33 1 8 yy y ′′ −− = 0 (0) 0 y = and (0) 1 y = . 2
Problem 3 : [7 points] This problem considers the Taylor series expansion of the function 2 () x f xe = . (a) Differentiate () f x to find () f x and f x ′′ . (b) Use the results from (a) to approximate using a second order Taylor expansion expanded around x = 0. State the error between your calculated result and the exact value of to 3 significant figures. (0.2) f (0.2) f (c) Repeat part(b) using a Taylor series expanded around x = 0.4.

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.

## This note was uploaded on 05/01/2011 for the course CHBE 2120 taught by Professor Gallivan during the Spring '07 term at Georgia Tech.

### Page1 / 8

practiceExam1Sample2 - Problem 1[8 points If possible...

This preview shows document pages 1 - 4. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online