PreTest_v5p1.nb
1
Pre-Test, v 5.1
Math 152-01, Summer 2011
Function definition
What is the domain and range of f(x) = 1/Sqrt(4 - x^2) ?
In[1]:=
In[2]:=
In[3]:=
Clear@fD
f@x_ D := 1 Sqrt@4 x ^ 2D
Plot @f@xD, 8x, 2, 2<D
5
4
3
2
1
-2
Out[3]=
In[4]:=
In[5]:=
Math 152
01
Calculus I PreTest
Dr. P. D. McCray
Name:
Summer, 2011
No calculators. Exact answers only, no decimal approximations.
1.
Functions
What is the domain and range of f .x / D p
2.
1
4
x2
?
Limits
Let f .x / D x2 C 4 . Compute
f .x C h/ f .x /
h!
Math 152 Lab 6 - Exercises
Exercises
There will be four (4) assignments for this lab. Two will be chosen from the Laboratory Project on page 723 in Stewart. Two
more will be chosen from the four assignments originally accompanying lab 6.
Choose the two fr
Math 152 Lab 5 - Exercises
Exercises
Assignment 1: Plotting Parametric Curves
Investigate the following family of parametric curves:
xHtL = a cos HtL + cosHa tL
yHtL = a sin HtL + sinHa tL
-ptp
Your answer should include:
A plot of the curve for a = 2.
Math 152 Lab 4 - Exercises
Exercises
Assignment 1: Using Direction Fields
Use Mathematica to plot the direction field of the differential equation
behavior of solutions to this equation. Your answer should include:
dy
dx
+ y = 6 + cosH4 xL - 2 sinH6 xL,
Math 152 Lab 3 - Exercises
Exercises
Assignment 1: Understanding Antiderivatives
Use Mathematica to compute antiderivatives for the following functions:
yHxL = x sin x
yHxL =
arctan x
x2 +1
You should give at least two antiderivatives for each function
Math 152 Lab 2 - Exercises
Follow the structure for Maple Lab Reports and the guidelines for laboratory grading given on the class website in the preparation of your report.
Your discussion of the following three exercises will comprise most of the third
Math 152 Lab 4 - Differential
Equations
Introduction
Previously, we have seen many types of differential equations and have even solved some simple ones. However, what do we do
if the equation is too hard for us to solve? What if we cannot express the ans
exercise 7.6 # 47,v8.0
Patrick Dale McCray, 20 June, 2011
In[196]:=
Clear@fD
The size of the angle theta in terms of the distance x from 0 to 3 is given by
In[197]:=
In[198]:=
f@x_ D := Pi ArcTan@5 xD ArcTan@2 H3 xLD
Plot@8f '@xD, f@xD, 0<, 8x, 0, 3<, Plo
Eulers number, e
aka Napiers constant
Patrick Dale McCray, Ph.D.
8 June, 2011
In[1]:=
?E
E is the exponential constant e Hbase of natural logarithmsL, with numerical value > 2.71828.
See URL <http:/www-history.mcs.st-and.ac.uk/HistTopics/e.html> for hist