MA 23200: Calculus for the Life Sciences II
Assignment Sheet, Fall 2012
Date
Lesson
Section
Assignment
8/20 M
8/22 W
8/24 F
1
2
3
5.4
5.5
5.5
P378: 25,26,27,28,29,33,39
P385: 1,5,8,10,11,15,20,24,29,31,40
P385: 41,48,53,56,57,64,70,73,74
8/27 M
8/29 W
8/3
PRACTICE PROBLEMS FOR EXAM 3 - MA 232 FALL 2012
RAPHAEL HORA
(1) Consider the initial-value problem
1
sin x
y + 2
y=
; y(2) = 0.
x 1
2x 9
What is the largest interval on which a unique continuous solution will exist?
(2) Consider the initial-value problem
MA 232
Exam 3
Fall 2012
Instructor: Raphael Hora
Name: Max Possible
Student ID#: 99999-99999
1. No books or notes are allowed.
2. You may use ONLY NON-GRAPHING and NON-PROGRAMABLE
scientic calculators. All other electronic devices are not allowed.
3. Show
MA 232
Practice Exam 1
1. Find the area of the region bounded by the graphs of the equations y = 4 x2 and
y = 4 3x.
Answer:
2. Evaluate
Answer:
9
.
2
ln x9
dx.
4x
9
(ln x)2 + C.
8
1
3
2
3. Evaluate
0
sin
d. Keep your answer exact.
ecos
1
Answer: 1 .
e
4
MA 232 - FALL 2012
REVIEW 1
RAPHAEL HORA
SIMPLIFICATIONS
Rules of Exponents:
xm xn = xm+n ;
x
y
n
=
(xm )n = xmn ;
(xy)n = xn y n ;
xn
, y = 0;
yn
Note x0 = 1 for any x = 0 and xn
Examples:
xm
= xmn , x = 0;
xn
1
= n , x = 0.
x
xn/m =
m
xn
4
a3
a(3)(4)
a1
MA 232 - FALL 2012
REVIEW 2
RAPHAEL HORA
Partial Derivatives
Let z = f (x, y).
To compute the partial derivative of f with respect to x, which is denoted by fx or
treat y as constant and dierentiate f (x, y) only with respect to x.
To compute the partial
MA 232: Exam 3 Review Sheet
Spring 2013
Section 8.1 - Dierential Equations and Initial-Value Problems:
If the right hand side of a dierential equation depends only on the independent variable x, or t, (for example,
y = 3x + 7 or y = 9t2 + 5) just integra
MA 232: Exam 2 Review Sheet
Spring 2013
Just like the rst review sheet, the end of each section lists practice problems from which you can pick and choose.
Section 7.2 - Partial Derivatives:
Know how to take both rst and second order partial derivatives
MA 232: Exam 1 Review Sheet
Spring 2013
At the end of each section Ive suggested some practice problems you can look at which I found from skimming
through the textbook. It is not necessary (and probably not possible) to do all of them. Just pick and choo
MA 232
Exam 1
Fall 2012
Instructor: Raphael Hora
Name: Max Possible
Student ID#: 00000-00000
1. No books or notes are allowed.
2. You may use ONLY NON-GRAPHING and NON-PROGRAMABLE
scientic calculators. All other electronic devices are not allowed.
3. Show