Math 111-003
Quiz 6
10/17/2012
Name:
Include all of your work to get credit.
2x3 24x + 6
on the interval [0, 3]. What are the absolute
2
maximum and absolute minimum values of f (x) on this interval?
1. (6) Find the extreme values of f (x) =
2. (4) Determ
THE CALCULUS EXAM 1 STUDY GUIDE
Ideas involved, algebra and arithmetic skills needed, and types of problems that will appear:
!"#$
Find the slope
Know how to use F.O.I.L. Be familiar with polynomials and related
MATH111009
Handin5
Due10/10
Directions:Showallyourwork,answereachquestionfullyandprovideexplanationwhen
necessary(infullsentences).
1. (a)UsetheSqueezetheoremwithfacts(1)and(2)toshowthat
sin (h)
lim
=1
h
h 0
sin (h)
<1
h
sin(h)
Fact2: cos(h)<
h
Fact1:
(b)
Math 111-003
Midterm 2
10/24/2012
Name:
Include all of your work to get credit. Read and follow the instructions carefully. As always, abide by the
Emory College honor code. Clearly mark your answers. The back pages can be used for scratch paper.
Problem
Math 111-003
Midterm 1 - A
9/26/2012
Name:
Include all of your work; partial credit can be awarded. Follow the instructions carefully. As always, abide
by the Emory College honor code. Take a deep breath, and good luck.
Problem Points
Number Awarded
1
/10
Math 111-003
Midterm 3
11/19/2012
Name:
Include all of your work to get credit. Read and follow the instructions carefully. As always, abide by the
Emory College honor code. Clearly mark your answers. The back pages can be used for scratch paper.
Problem
Math 111-003
Midterm 1 - B
9/26/2012
Name:
Include all of your work; partial credit can be awarded. Follow the instructions carefully. As always, abide
by the Emory College honor code. Take a deep breath, and good luck.
Problem Points
Number Awarded
1
/10
Math 111-003
Quiz 10
11/28/2012
Name:
Include all of your work to get credit. There are more problems on the back.
1. (6) Use substitution to compute the following indenite integrals.
(a)
(x 4)3 dx
(b)
5x
dx
(x2 + 5)3/2
(c)
cos(x) sin5 (x) dx
2. (4) Use s
Math 111-003
Quiz 2
9/12/2012
Name:
Include all of your work; partial credit can be awarded.
1. (4) Find lim
x2
x2 + 1
.
2x
2. (6) Find lim
x 0
16 + 12h 4
.
h
Math 111-003
Quiz 1
9/5/2012
Name:
1. (8) Let f (x) =
x 1 and g (x) = x2 1. Find the following:
(a) the domain of f (x)
(b) the domain of g (x)
(c) the domain of (f + g )(x)
(d) the domain of (f /g )(x)
(e) (f g )(x)
(f) (g f )(x)
2. (2) Thanks for helpin
Math 111-003
Quiz 2
9/19/2012
Name:
Include all of your work; partial credit can be awarded.
1. (6) The function y = f (x) is pictured below.
Use the picture of f (x) to complete the chart below:
a f (a) limxa f (x) limxa+ f (x) limxa f (x) Type of Discon
Math 111-003
Quiz 4
10/3/2012
Name:
Include all of your work; partial credit can be awarded.
1. Find the derivative of the following functions:
(a) y = (3x2 + 4x3 )100
(b) f (x) = (t + 1)4/3 (2t2 1)3
(c) F (x) = sin(sin(sin(x)
Math 111-003
Quiz 9
11/14/2012
Name:
Include all of your work to get credit.
1. Write the following denite integrals as a limit of Riemann Sums. Do NOT calculate the limits.
4
x2 4x + 2dx
(a)
0
5
2x 5dx
(b)
1
5
2. Graph the line y = 2x 5, use areas to cal
Math 111-003
Quiz 8
11/7/2012
Name:
Include all of your work to get credit.
1. Find all f (x) such that
x2 + 1
(a) f (x) = sec2 (x) +
x
(b) f (x) = 12x3 + 5x
2. There are 50 apple trees in an orchard. Each tree produces 800 apples. For each additional tr
Math 111-003
Quiz 7
10/31/2012
Name:
Include all of your work to get credit. To get partial credit, make clear where you use each piece.
2x + 2
.
1. Use the following information to sketch the graph of the curve f (x) =
x2 + 4
A. The domain is all real n
Math 111-003
Quiz 5
10/10/2012
Name:
Include all of your work to get credit.
1. If (x 2)2 + y 2 = 25, nd
dy
.
dx
2. A cone-shaped icicle is dripping from the roof. The radius of the icicle is decreasing at a rate of 0.5
centimeters per hour, while the len
THE CALCULUS EXAM 2 STUDY GUIDE
Ideas involved, skills needed, types of problems you will see (all of the following will appear
on the exam):
Equivalent notations for the derivative of = ():
' =
=
= ' .