Math 106, Summer, 2013
Quiz 2
Name _
Instruction: Show your work in detail. No Credit will be given to an answer without work.
1. (6pts) Let fx = 2x 1 and gx = 2x 2 x + 3. Compute and simplify the following without using a
calculator.
(1) fx gx = 2x 1 2x
Disclaimer: This practice exam is representative of problems that could appear on your exam,
but it does not cover all eligible topics. While some problems on the actual exam may be similar,
you should not expect that all exam problems are represented on
Disclaimer: This practice exam is representative of problems that could appear on your exam,
but it does not cover all eligible topics. While some problems on the actual exam may be similar,
you should not expect that all exam problems are represented on
Math 106 Pracitce Exam 1 Key
1.) [10 points] Below is a graph of f(x).
a.) Where is f(x) continuous?
b.) Where is f(x) differentiable?
d.) Evaluate f(x) and its derivative at the following values.
f (0) =
f (0) =
f (5) =
f (5) =
f (10) =
f (10) =
1
2.) [1
Math 106 Practice Exam 2 Key
1.) [10 points] Differentiate each function below.
a.)
=3
b.)
= 4 + 6 log
c.)
d.)
=
=
ln 3
+1
1
2.) [10 points] Consider
= 2 + 3 36 + 6.
a.) Identify all local extrema using the First Derivative Test.
b.) Identify all local
Math 106 Practice Exam 3 Key
1.) [10 points] Evaluate each indefinite integral below. Include any necessary constants.
a.)
7 +1
b.)
c.)
3
+2
+
1
2.) [10 points] Evaluate each definite integral below.
a.)
b.)
6 1+
+
2
3.) [10 points] Given the following in
Math 106, Summer, 2013
Quiz 9 - Solutions
Name _
Instruction: Show your work in detail. No Credit will be given to an answer without work.
1. (3pts) The revenue function for a one-product firm is Rx 150 1800 2x for x 0. Using calculus, find
x8
the value o
Math 106, Summer, 2013
Quiz 7 - Solutions
Name _
Instruction: Show your work in detail. No Credit will be given to an answer without work.
(2pts) Sketch the graph of a function
y
fx that satisfies the following properties:
1.
2
(1) f1 2;
-4
-2
(2) f 1 0 a
Math 106, Summer, 2013
Quiz 10 - Solutions
Name _
Instruction: Show your work in detail. No Credit will be given to an answer without work.
1. (3pts) Solve the following equations exactly by the properties of e x and ln x. Please leave ln b and e a in you
Math 106, Summer, 2013
Quiz 12 - Solutions
Name _
Instruction: Show your work in detail. No Credit will be given to an answer without work.
1. (4pts) Find the area of the region between y 8 x 2 and y x 2 . (1) Find the intersections of two curves. (2)
Ske
Math 106, Summer, 2013
Quiz 11 - Solutions
Name _
Instruction: Show your work in detail. No Credit will be given to an answer without work.
1. (8pts) Calculate the following indefinite integrals.
1
a. x 2014 + 2014 2013 dx = x 2014 + x 2014 2013 dx
x
1
1
Math 106, Summer, 2013
Quiz 8 - Solutions
Name _
Instruction: Show your work in detail. No Credit will be given to an answer without work.
1. (4pts) Let fx x 3 6x 2 9x 1. (1) Use the First Derivative Test to find algebraically relative maximum
point and r
Math 106, Summer, 2013
Quiz 6 - Solutions
Name _
Instruction: Show your work in detail. Do not need to simplify the derivatives.
1. (12pts) Compute h x where
(a) hx 2x 4 x 1x 5 1
h x
Product Rule
8x 3 1x 5 1 2x 4 x 15x 4
2
(b) hx x2 1
x 2x
h x
2xx 2 2x x
Math 106, Summer, 2013
Quiz 5
Name _
Instruction: Show your work in detail. No Credit will be given to an answer without work.
1. (5pts) Compute the following.
P 2 2P 1 P 2 2P2P 2 P 2 2PP 1
(a) d
2
dP
(b)
dy
| t1 where y 21 3t 4t 2 3
dt
dy
2 31 3t 4t 2 2
Math 106, Summer, 2013
Quiz 3
Name _Solutions_
Instruction: Show your work in detail. No Credit will be given to an answer without work.
1. (3pts) Compute and simplify by the laws of exponents the following without using a calculator.
1
(2) 3 2 312 33 1
(
Math 106, Summer, 2013
Quiz 4
Name _Solutions_
Instruction: Show your work in detail. No Credit will be given to an answer without work.
1. (2pts) Find the derivative f x for the following functions.
7
(1) fx x 3 x x 2 , f x 7 x 5/2
2
(2) fx
x x 11/3 x 2
Math 106, Summer, 2013
Quiz 1 - Solutions
Name
_
Instruction: Show your work in detail. No Credit will be given to an answer without work.
1.
(1pt) Draw the interval 3, 2 on the real
line below. Label scales first.
1
-4
-3
-2
-1
1
-1
2
3
4
x
2. (1pt) Give
Disclaimer: This practice exam is representative of problems that could appear on your
exam, but it does not cover all eligible topics. While some problems on the actual exam
may be similar, you should not expect that all exam problems are represented on
Math 106, Fall 2013
Exam 3
NAME: _
PLEASE PRINT
You have 50 minutes to complete this exam. No notes or
calculators are allowed. Show all work. Unsupported or illegible
answers will receive no credit. There are a total of 50 points on
this exam.
PAGE
SCORE
Math 106 HW 7
Due Thursday 10/17 5:00pm
NAME: _
Practice Problems (Do not turn in.)
Sec 2.3 #1, 5, 17, 21, 29, 41
Sec 2.4 #9, 17, 23
Print out this page and write all answers directly on this worksheet. Show all
work. Your answers must be clear and legibl
Math 106 HW 9
Due Thursday 10/31 5:00pm
NAME: _
Practice Problems (Do not turn in.)
Sec 2.6 #7, 11, 17
Sec 2.7 #9, 13, 15, 21
Print out this page and write all answers directly on this worksheet. Show all work. Your answers must
be clear and legible. All
NAME: _
Math 106 HW 10
Due Thursday 11/7 5:00pm
Practice Problems (Do not turn in.)
Sec 4.3 #1, 3, 13, 15, 23, 35
Sec 4.4 #19, 23, 33
Sec 4.5 #1, 3, 15, 17, 19
Print out this page and write all answers directly on this worksheet. Show all work. Your answe
Math 106 HW 11
Due Thursday 11/14 5:00pm
NAME: _
Practice Problems (Do not turn in.)
Sec 4.4 #19, 21, 31
Sec 4.6 #1, 9, 13, 23, 31
Sec 5.1 #1, 7, 9, 13
Print out this page and write all answers directly on this worksheet. Show all work. Your answers must
Math 106 HW 6
Due Thursday 10/10 5:00pm
NAME: _
Practice Problems (Do not turn in.)
Sec 2.1 #7, 17, 23
Sec 2.2 #7, 9, 11, 19, 23
Print out this page and write all answers directly on this worksheet. Show all work. Your answers must
be clear and legible. A
Math 106 HW 5
Due Thursday 10/3 5:00pm
NAME: _
Practice Problems (Do not turn in.)
Sec 3.3 #1, 13, 27, 39, 41
Print out this page and write all answers directly on this worksheet. Show all work. Your answers must
be clear and legible. All pages must be st
Math 106 HW 1
Due Thursday 9/5 5:00pm
NAME: _
Practice Problems (Do not turn in.)
Sec 0.3 #7, 13, 15
Sec 0.4 #7, 17, 25, 33
Sec 0.5 #43, 55, 59, 61, 65
Print out this page and write all answers directly on this worksheet. Show all work. Your
answers must
Math 106 HW 2
Due Thursday 9/12 5:00pm
NAME: _
Practice Problems (Do not turn in.)
Sec 1.1 #19, 23, 25
Sec 1.3 #3, 7, 9, 11, 37, 57
Sec 1.5 #15, 19
Print out this page and write all answers directly on this worksheet. Show all work. Your answers must
be c
Math 106 HW 3
Due Thursday 9/19 5:00pm
NAME: _
Practice Problems (Do not turn in.)
Sec 1.6 #1, 3, 9, 21, 31, 41
Sec 1.7 #3, 13, 17, 33, 40
Sec 1.8 #3, 11, 13
Print out this page and write all answers directly on this worksheet. Show all work.
Your answers
Math 106 HW 4
Due Thursday 9/26 5:00pm
NAME: _
Practice Problems (Do not turn in.)
Sec 3.1 #9, 13, 23, 29
Sec 3.2 #11, 15, 55, 59
Print out this page and write all answers directly on this worksheet. Show all work. Your answers must
be clear and legible.
Math 106 HW 12
Due Thursday 11/21 5:00pm
NAME: _
Practice Problems (Do not turn in.)
Sec 5.2 #1, 7, 11, 23
Sec 6.1 #1, 7, 9, 13, 17, 19
Print out this page and write all answers directly on this worksheet. Show all work. Your answers must
be clear and leg