4.7 Power Functions and Radical Equations
Review of properties of exponents (see p. 335)
Simplify: 163/4 -41/3/45/6 27-2/3 x 271/3 (53/4)2/3 (-125)-4/3
Rewrite using rational exponents:
3
3 y y
4
x
x 2 (4 z ) 5
Power function: f(x) = xb , where b is a rea

APIASF Scholarship Application Preparation* Worksheet
First Choice College/University:
Short Term Goal:
Long Term Goal:
Intended Major:
Extracurricular Activity*
Position
# of Years
Description
Paid Employment*
Position
# of Years
Description
*This is not

Battery Lab Discussion:
The main goal of the battery lab was to work with a real world voltage source and more importantly come up
with a Practical Voltage Source Model for the battery. This model would then be used in Load-Line analysis
to estimate wheth

Name:
Fall 2014 BEE Practice Test
Basic EE 4400:307
Fall, 2014
Practice Test #1
Do all work in the space provided, including EXTRA SHEET at end if needed.
You may refer to one sheet of prepared notes.
1) In the circuit shown, consider the voltage source a

Basic EE
Fall 2014
P1.
Homework Assignment #7
Due Oct. 15 (MW), Oct. 16 (TR)
(4.34) Find the average value and the rms value of the
waveform shown.
P2.
(4.36) Determine the rms value of the voltage v(t) VDC vAC 50 70.7 cos(377t) V
P3.
(4.43) If the curren

BS Chemical Engineering Schedule (Non-Coop)
Fall
Spring
Summer
First Year
5540:xxx Phys. Ed.
1
7600:106 Oral Comm.
3
3300:111 Eng. Comp.
4
3300:112 Eng Comp II
3
3150:151 Chemistry I
3
3150:153 Chemistry II
3
3150:152 Chemistry Lab
1
3150:154 Qual Analys.

Basic EE
Fall 2014
P1.
Homework Assignment #10
Due 12 Nov. (MW), 13 Nov. (TR) 2014
Each of the three windings of a certain three-phase a.c. motor is modeled as a 40-
resistance in series with a 5-mH inductance. The windings are Y-connected, as shown.
The

Chemistry 314 - Spring 2015
Problem Set #1
Due: Friday, Jan 23.
Read: McQuarrie chapter 1 & 2
Problems from McQuarrie
1-1
1-2
1-6 Note: Wien showed empirically that
= 2.90 103 m K
1-12 (Show the derivation from eq 1.2 to eq. 1.3 from McQuarrie)
1-20
1-2

Comments on the Nonlinear Schrdinger Equation
Mark P. Davidson
Spectel Research Corporation,
807 Rorke Way, Palo Alto, CA 94303
mdavid@Spectel.com
Abstract
A proof is given that if the nonlinear Schrdinger wave function is constrained to have support over

4.1 Nonlinear Functions and Their Graphs
Increasing, decreasing, maximum, and minimum
Heres the graph of a function:
y
local
maximum
absolute
minimum
x
local
minimum
it is increasing on the intervals [-3.75, -2] and [1, )
it is decreasing on the inter

5.1.1 Combining Functions - Part I
Two functions:
x
1
2
f(x)
2
6
g(x)
3
0
3
4
-1
New function, which we call f + g:
x
1
2
3
(f+g)(x) 5
6
3
inputs (domain) f + g:
outputs:
Definition:
same as f and g
add outputs of f and g
(f + g)(x) = f(x) + g(x)
(f - g

5.2 Inverse Functions and their Representations
Inverses of functions represented numerically (by table)
x
f(x)
0
5
5
10
10
15
15
20
Lets play a perverse game with f (input-output game
backwards).
the perverse function we just demonstrated
is called the

5.3.1 Exponential Functions and Models I
Consider:
f(x) = 2x
Do you see anything different about this function?
Numerical (table form):
x
-2
-1
f(x)
0
1
2
Graph it:
In general, an exponential function is defined by
f(x) = Cax
a > 0, a 1, C > 0
a is referr

4.6.1 Polynomial and Rational Inequalities - Part I
Example:
x3 + 2x2 - 8 < 0
Objective: describe all values of x that satisfy the inequality
Principle: a polynomial f(x), when graphed, is a continuous
curve:
it crosses the x-axis at its zeros, i.e. where

4.5.1 Rational Functions and Models - Part I
Asymptotes and asymptotic behavior
1
Think about the function:
y =
, the various routes x
x
can take, and the consequent behavior of y:
as x goes
from 1 to +
from 1 to 0
from -1 to -
from -1 to 0
sign of y
+
+

4.2 Polynomial Functions and Models
f(x) = 2x + 3
f(x) = x2 + 4x + 4
y
y
x
x
f(x) = -x3 + 4x - 1
f(x) = -x4 + x3 + 3x2 - x - 2
y
y
x
x
f(x) = .01x5 + .03x4 - .63x3 - .67x2 + 8.46x - 7.2
y
x
The anatomy of a polynomial
4.2-1
f(x) =

4.4 The Fundamental Theorem of Algebra
What is ?
BUT, whatever it is
Define a new number:
i1 =
i2 =
i3 = i.i2 =
i4 = i2 . i2 =
i5 =
etc.
i
-1
-i
1
i
not a real number
its square should be -1
i -1 (hence i2 = -1)
i70 = i68i2 = (i4)17(-1) = -1
By adding i t

Chemistry 314 - Spring 2015
Problem Set #8
Due: Friday, March 20
Problems from McQuarrie
6-14 (if you havent completed already in last problem set)
7-2
7-6
7-9
7-13
7-19
Additional Problems
1) Evaluate the following where (, ) are the spherical harmonic f