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Math 1830 Midterm Exmn November 20, 2006
1. (10 points) Sketch the graph of a function which has domain [0, 3] and such that; the
function has a global maximum but no global minimum.
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)l\ / \I IV: ffg/
W?
2. (15 points)
a. State the mean v
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Math 141A Midterm Exam #3 November 17, 2014
1. (20 points) A rectangle has its base 011 the x axis and its upper two vertices 011 the
parabola y = 12 (62. What is the largest area. the rectangle can have and what are its
dimensions?
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Name:
Math 1830- Midterm Exam #3 - November 20, 2006
1. (10 points) Sketch the graph of a function which has domain [0, 3] and such that the
function has a global maximum but no global minimum.
2. (15 points)
a. State the mean value theorem. Be sure to in
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Math 141A Midterm Exam #1 - September 25, 2014
1. (15 points) True or false:
_ ;_ a. A function which is differentiable at :7: = a must also be continuous at :1: = a.
_ 2_ b. The composition of two continuous functions is also continuous.
E_ 0. S
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Math 141- Midterm Exam #2 - October 22, 2014
1. (50 points) Find (3%. You do not need to simplify your answers.
a. y : Item
605 X C05 X
y2 6 ~ xgle
c. 3; 2111(3;2 + 22: + 1)
4 JXfl
y an/
sin :1:
CI
d. y:
X.-
/ QXCOSX "8 5/4
y" M
E
_ Co£X~2W
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Math 141- Midterm Exam #3 - November 12, 2007
1. (20 points) Let f (x) =
f (x) on the interval [0, 2].
x
.
x2 +1
Find the global maximum and global minimum values of
2. (5 points) Complete the following denition. A function f (x) has a local minimum
Math 141A-College Calculus I, Fall 2014 Course Information Sheet
Instructor:
David Hemmer
TA:
T.B.A.
Office:
211 or 226 (chairs office) Mathematics Building
Email:
dhemmer@math.buffalo.edu
Office Phone:
645-8775
Class Meetings:
Lecture:
Lab A1
Lab A2
Lab
Math 141A Fall 2014-Review Sheet for 3rd Midterm
The third midterm is Monday 11/17/2014 and will cover Chapter 4, excluding 4.6 This
sheet is designed to help you organize your studying and is not exhaustive! Remember no
calculators or notes are allowed.
Math 141- Review Sheet for 1st Exam
The first exam is Monday Sept. 25 and will cover all of Chapter 2. (plus 1.1-1.4 is assumed) and
section 3.1. As a good first step make sure you understand all the quiz problems and homework
problems! This sheet is desi
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Math 141- Final Exam - December 14, 2007
Instructions: The exam is worth 150 points. Calculators are not permitted.
1. (15 points) Evaluate the following indenite integrals:
a.
b.
ex sin(ex ) dx
x+
1
x
c.
1
1+x2
dx
d.
x
1+x2
dx
dx
2. (10 points) Con
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Math 1830- Final Exam - December 14, 2006
Instructions: The exam is worth 150 points. Calculators are not permitted.
1. (20 points) Evaluate the following indenite integrals:
a.
t3 + t 5 dt
b.
x 1 + 2x2 dx
c.
sec x tan x dx
d.
3 + 2x(x2 2)5 dx
e.
6
Name:
Math 141- Midterm Exam #1 - September 24, 2007
1. (15 points) True or false:
a. A function which is continuous at x = a must also be dierentiable at x = a.
b. It is possible for the graph of a function to have 3 vertical asymptotes.
c. The intermedi
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Math 141- Midterm Exam #1 - September 24, 2007
1. (15 points) True or false:
E a. A function which is continuous at .1; = a must also be differentiable at :7: = a.
b. It is possible for the graph of a function to have 3 vertical asymptotes.
F e. T
Name:
Math 141- Midterm Exam #3 - November 12, 2007
1. (20 points) Let f = $211. Find the global maximum and global minimum values of
f on the interval [0, 2].
2. (5 points) Complete the following denition. A function f has a local minimum at
xzcifm. 3.
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Math 141 Midterm Exam #2 - October 24, 2007
1. (50 points) Find 3%. You do not need to simplify your answers.
a. y = as cos(a:)
y 9 MM vm X
b. y = tan(x2 +1)
' y 4* Mgzca/Xaf
d. y =1n(5x l5)
4 5
}/ 5w;
e.y=3$
y? §%3 yé/MM/r
g. y = sin3($2)
y 5
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Math 1830 Final Exam - December 14, 2006
Instructions: The exam is worth 150 points. Calculamrs are not permitted.
1. (20 points) Evaluate the following indenite integrals:
a. ft3+t~5dt
/2§é 7 glél"§5fc_
khw/
c. fsecxtanscdx
@71ch
w
d. f
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Math 1830- Midterm Exam #2 October 203 2006
1. (30 points) Find 5%:
a. y = 030(33}
}/ /: «an an? x
23:2 3
(0212?) 2
d. simmy) = 29:3 w
nytr/ly/ HM ,[rl .-: 6y°1wyy/
bull/ILIIIII l I 9 I,
y/[mx/Mf a) :- g ,1 "- yMJ/I/l/
/y x: W 1 gag/1M
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Math 1830- Midterm Exam #2 - October 20, 2006
1. (30 points) Find
a. y = csc(x)
b. y =
c. y =
dy
:
dx
x sin(x)
2x2 3
tan(x) + x3
d. sin(xy) = 2x3 y 2
e. y = sin(sin(x2 )
1
f. y = (x2 + 2x + 3)10 (6x3 x )5
2. (10 points) Find y by implicit dierentiat
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Math 141 Final Exam December 14, 2007
Instructions: The exam is worth 150 points. Calculators are not permitted.
1. (15 points) Evaluate the following indenite integrals:
a. fa:c si11(ex) d3;
H: L (Mela/4 2. (10 points) Consider the denite integra
Name:
Math 141- Midterm Exam #2 - October 24, 2007
1. (50 points) Find
dy
.
dx
a. y = x cos(x)
b. y = tan(x2 + 1)
c. y =
x
x3 +1
d. y = ln(5x 15)
e. y = 3x
You do not need to simplify your answers.
f. y = x10 9x3 + 15x 3
g. y = sin3 (x2 )
h. y = (sin x)x
A few review items for Exam 2.
In the formulas below you should assume u = u(x) is a function of x.
F (x)
F (x)
c
0
un
nun1 du
dx
sin(u)
cos(u) du
dx
cos(u)
sin(u) du
dx
tan(u)
sec2 (u) du
dx
sec(u)
sec(u) tan(u) du
dx
csc(u)
csc(u) cot(u) du
dx
cot(u)