EGR 599
Advanced Engineering Math II
_
LAST NAME, FIRST
Problem set #1
1. Use Newtons method with x(0) = 0 to compute x(2) for each of the following nonlinear
systems:
a. 4 x12 - 20x1 +
1 2
x +8=0
4 2
1
2
x1 x2 + 2x1 5x2 + 8 = 0
2
b. sin(4x1x2) 2x2 x1 = 0

EGR 599
Advanced Engineering Math II Problem set #4
_ LAST NAME, FIRST
1. (P. 15.1 Chapra1) A company makes two types of products, A and B. These products are produced during a 40-hour work week and then shipped out at the end of the week. They require 20

EGR 599
Advanced Engineering Math II
_
LAST NAME, FIRST
Problem set #2
1. Use Newtons Homotopy with x(0) = [4 2] to compute x(2) for the following nonlinear systems:
2
f 1 ( x1 , x 2 ) x12 x 2 36 0
f 2 ( x1 , x2 ) 2 x12 3x 2 16 0
dx 2
dt
so that
> 0.
dp
d

EGR 599 ADVANCED ENGINEERING MATHEMATICS II _ LAST NAME, FIRST (3 pts) Quiz #3
Note: Your answers must be correct to 4 significant figures. The maximum score is 25 pts.
I. Subject to
Maximize y = 3x1 + 2x2
x1 + x2 8 2x1 + x2 10 (1) x1 = _2_ (2) x2 = _6_
1

EGR 599 ADVANCED ENGINEERING MATHEMATICS II _
LAST NAME, FIRST (3
pts)
Quiz #2 solution
Note: Your answers must be correct to 4 significant figures.
The maximum score is 25 pts.
I. Suppose a refinery develops a product, Z1, made from two raw materials X a

EGR 599 ADVANCED ENGINEERING MATHEMATICS II _ LAST NAME, FIRST (3 pts) Quiz #4
Note: Your answers must be correct to 4 significant figures. The maximum score is 25 pts.
I. Subject to
Minimize y = 50x1 + 25x2
x1 + 3x2 8 3x1 + 4x2 19 3x1 + x2 7 (1) x1 = _1_