MATH 221 NAME:
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QUIZ 1
_-_
1. Sketch the graph of f (:c) = 5; 1, and write an equation for the secant line between the points
wherez=2 and:1:=4.
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AP Calculus BC
Practice Exam
From the 2015 Administration
This Practice Exam is provided by the College Board for AP Exam
preparation. Teachers are permitted to download the materials and
make copies to use with their students in a classroom setting only.
AP Calculus AB
Practice Exam
From the 2015 Administration
This Practice Exam is provided by the College Board for AP Exam
preparation. Teachers are permitted to download the materials and
make copies to use with their students in a classroom setting only.
AP Calculus BC
Practice Exam
From the 2014 Administration
This Practice Exam is provided by the College Board for AP Exam
preparation. Teachers are permitted to download the materials and
make copies to use with their students in a classroom setting only.
WORKSHEET 6 FALL 2016
MATH 221 _ _ ' WEDNESDAY, SEPTEMBER 28
Name: _._.m_'_'_-1_'_._
1 Calculate the following limits. If the limit does not exist, specify if it is ice or neither
3 -' -' it?
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iuils Soa+b4 lei itiitian: :F-irst- we take- the devative wit; [aspect to a: of
To solve f0; (2:, we mov '53 of the tame; Wlth
Themfacfdr ot day-and solve-fa]. dy
(3; . - _ d'_:I:
d_y_ 1 w 2ysm(1,2y)
dx 4313+ :1:%in(;z:2 y)
d?!
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WORKSHEET 5 FALL 2016
MATH 221 MONDAY, SEPTEMBER 26
Name:
1. Draw a graph of a function f(a:) satisfying the following properties.
a x) is dened for all 2:. . Fifii W? cfw_at sight it giiiii"? g
:1 iiggr) =1 and x) is not continuous atm=3. iiitifi
WORKSHEET 13 FALL 2016
MATH 221 MONDAY, OCTOBER 24
Name: _-.,_.m
1. Consider the curve dened by m2 + y2 m 1.
(a) Is 3; a function of 53? How can you see this graphically? How can you see this algebraically?
N0 9 Fl 3% lb 126. (L motion of 2C L CL Lk
The Pail/WM sea-mm mate use 0? the. teem/1 cfw_:7 MM
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WORKSHEET 4 FALL 2016
MATH 221 MONDAY, SEPTEMBER 19
N ame: Ampm_0_u
1. Use the e - 5 denition of a. limit to Show that lim :1: = 2.
For (mg em HM $
WORKSHEET 27' FALL 2016
' ATH 221. _ ' _ MONDAY,'DECEMBER 12
Nalei
:3 9:) am 91'
(C)Fmd the volume obtainejr rotating T around the line-$- ":4 _ (d) Find the volume obtained by rotating T around the ne 3; 2 I2.
Cia *- Yalfi-f
WORKSHEET 1 FALL 2016
MATH 221 WEDNESDAY, SEPTEMBER 14
Name: _._._._.
2 _
1. Let f(:c) = gy.
(a) What is wrong with the following statement? (Hint: What are the domains of all the
functions involved?)
f (m) = a: + 3
ML 0(de of p 5 (Will, lee W c/ama
Econ 101: Principles of Microeconomics
(C non-online) Let the demand for Perfume be denoted in oz by: Q = 14 P
Let the supply of Perfume be denoted in oz by: Q = P
Find the equilibrium Price and Quantity.
Suppose Perfume provides a positive externality of
1. The paper production industry faces a marginal cost function of MC = 10 + Q. However, the pollution generated by the
production process creates an external harm equal to 0.5Q for each additional unit produced. ( ie. MDC = 0.5Q). Paper
sells in the mark
1. Wonkaville is a town at the base of Candy Mountain. Several chocolate factories are located in Wonkaville, with
a supply curve P = 3 + Q. Demand for in Wonkaville is P = 7 Q.
a. What is the market quantity and price?
Setting supply equal to demand give
1. The paper production industry faces a marginal cost function of MC = 10 + Q. However, the pollution generated by the
production process creates an external harm equal to 0.5Q for each additional unit produced. ( ie. MDC = 0.5Q). Paper sells in
the mark
MATH 221 NAME: C L NM
QUIZ 11
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1. Find all the intersection points of the curves 3; = :1: ~ 2 and y = (m 2)3, and nd the total area
contained between the curves. . , \
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WORKSHEET 8
FALL 2016
MATH 221 i
WEDNESDAY, OCTOBER 5
k
Name: _ ,*
1. Evaluate the following limits.
(i) 1312 \/$2+23
:- - >6+2x I ixh ,'
Jgg ) rig; >13: 1% ~ i
5 MM :49 . g
I 2): /. [5
(ii) lim 3tan(:1:2 9)
cfw_mane 4m
X? 5 *
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:0
Mm 22].
Exam ll
Practice Exam
ame:
TA:
important topics Which may appear on the exam are: related
rates, intermediate value theorem, mean value theorem,
computations of derivatives (including arctan and arcsin),
implicit differentiation, local and global