Math 212 Quiz # 2 Review sheet of goodness!
February 26, 2014
1. Section 5.1: The Natural Logarithmic function, dierentiation. This section, along
with most of the others in Chapter 5, is really just a review of a basic function that
has a funny denition.
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Good Luck to
Examination 1
Math 212 W14
SHOW YOUR WORK to receive all possible credit.
1. Use the limit process to find the area ofthe region between the graph of f(x) =6x +2 and the x-axis over
the interval [2,3]. No credit for any other method. Use t
'7'?
‘ Math 212 W14 Examination 2 Good Luck to: % '
SHOW YOUR WORK to receive all possible credit.
1. Find the derivative of the following functions. Simplify your answer.
3- Y=1°81 X- Answer: y' b. y=4". Answer: y' #x
'l+ *l a4?) ix
c. y=5" *2“ 5 d. y=
Exam Solutions!
January 30, 2014
Here are the solutions to the midterm. Enjoy!
1. (a) We break the interval up into 4 pieces, each with width x = 1 = .25. So, for a
4
right approximation, we would have inputs x1 = 1.25, x2 = 1.5, x3 = 1.75, x4 = 2. So
f (
MATH 212 MIDTERM REVIEW SHEET
Hi everyone! Here is a sheet which reviews the remaining sections that the exam will
cover. That means that the exam will cover the sections that the quiz review reviewed in
addition to those below. Good luck!
(1) Section 4.4
MATH 212 FINAL EXAM REVIEW
Hi everyone, here is your review sheet for the nal exam. Remember, the nal exam will
be cumulative to the beginning of the termthe sections listed below are just those that Corey
hasnt written anything about yet. Also remember t
MATH 212 QUIZ # 1 REVIEW SHEET OF FUN!
Hi everyone, here is a review sheet for the upcoming quiz. Enjoy!
(1) Section 4.1: Antiderivatives. The big deal from this section is to understand what
antiderivatives are, and why a certain functions antiderivative
MATH 212 QUIZ # 1 SOLUTIONS
Here are the solutions to the rst quiz. Enjoy!
(1) Integrating, we have y = 4x 8dx = 2x2 8x + C . Imposing the initial condition
y (1) = 2, we conclude
2 = y (1) = 2(1)2 8(1) + C,
so C = 8, and y = 2x2 8x + C.
1
(2) (a) x4 + 2x
Math 212 Quiz # 2 Solutions
March 10, 2014
Here are the solutions to the second quiz. Enjoy!
1. We use the chain rule to compute
d sec x
d
[e
] = esec x [sec x] = esec x sec x tan x.
dx
dx
2. Let u = ex . Then du = ex dx, and
tan ex + C .
ex sec2 ex dx =
Math 212 W14
Quiz 3
Good Luck
to: ^W
SHOW YOURWORK to receive all possible credit.
1. Find the indefinite integral: J
V
jL d%
U Cs) "
dx.
. \ dn 5 J U '
j- (uh-s*\+ c
x +2
2. Given is f(x) =
-, x >-3, a =5. Verify that f(x) has an inverse. Use the functio