Math 101 , quiz 1
September 24, 2012, Section 10
Name :
ID# :
Department :
QUESTION: Determine whether the statement is true or false. If it is true, explain
why? If it is false, explain why or give an example that disproves the statement
1. If f is a fun
Math 101 - Test 1 Jan 26 2011
Question 5:
(a)[3] Evaluate each of the following:
.a l '
' 1 d arcsinx ml/Cw qvcslmc) WCJI'WCO)
was = {a JO 1 e -e
ll
12 4
(b)[3] Suppose f(x) dx = 5 . Determine / f(3x) dx .
o
0
WM ,
Lax" on: 5x {xzo % 0
0043300< %=Li=>
Math 101 S11N01 - Quiz 1
Name:
(1) [5] The following limit represents the area under the graph of a certain function f (x) over a certain
interval [a, b]. Determine f (x) and [a, b]:
n
X
i
lim
tan
n!1
6n
6n
i=1
(2) [5] The population of a certain town
Math 101 Test 3
Apr 27 2011
Question 1:
I cos _
(a)[5] Determme mdx -I
Let a: siwf) ) 96m: 00:65?) m
a?» J?
W I 2 9» S" .17: age».
: 5L (vx t C
(b)[5] Determine 12/ sec3x tan3x dx
1 Z
fSCL X law x Secxfaux 0()<
'2.
Exec, x (Atelx ~t) SEQXf'Qky aLx
V L6
Math 101 Test 3 Apr 27 2011
Question 4:
(a)[5] Determine the length of the curve y = ln (cosx), 0 S X S 7r/3
L
: SS |+ 52 dx
0
00511
I
3
Z BW\S,L7( tl'awxxl D
«4mm *
(b)[5] Solve the following differential equation:
ll
(1 + cos x)y = e" sin x, y(0) =
Math 101 S11N01 - Quiz 1
Name:
(1) [5] The population of a certain town is growing at a decreasing rate of r (t) people per year. Using
the following data for r (t), give lower and upper estimates for the change in population over the time
period t = 0 to
MATH 101: HOMEWORK 3: Spring 2011
For all Sections
(Due on the week of March 28: rst hour of the last lecture day)
1a. Let f (x) = x2/3 (x2 4). Find the open intervals on which f is increasing and
decreasing and identify the extrema of f and the points wh
Math 101
Second Midterm Exam
April 30, 2011
12.30 - 14:30
Name
:
ID#
:
Department
:
Section
:
The exam consists of 5 questions of equal weight.
Read the questions carefully.
Solutions, not answers, get points. Show all your work in well-organized
mathe
MATH101: HOMEWORK IV: Spring 2011
For all Sections
(Due April 11th week: rst hour of the last lecture day)
QUESTIONS:
1. Evaluate the following indenite integrals:
(1.a)
1 x2
1
dx
x3
x2
(1.b)
SOLUTION (1.a) Let u =
1x2
.
x2
2
Then we get du = x3 dx which
Math 101, All sections, Homework #5 (Spring 2011)
Due to the week starting May 9, at the rst hour of the last lecture day that week.
Question 1.
(a) Find the length of the curve
0x
y = ln cos x,
.
4
Solution: y = tan x, hence
Z
/4
L=
/4
Z
p
1 + y 2 dx =
0
Math 101
First Midterm Exam
March 12, 2011
12.30 - 14:30
Name
:
ID#
:
Department
:
Section
:
The exam consists of 5 questions of equal weight.
Read the questions carefully.
Solutions, not answers, get points. Show all your work in well-organized
mathem
MATH101: HOMEWORK I: Spring 2011
Solutions
(Due February 14th week: rst hour of the last lecture day)
QUESTIONS:
1. (a) prove that
|x|
x0 x
lim
does not exists.
Solution:
lim
+
x0
|x|
x
= lim
= lim 1 = 1
x0+ x
x0+
x
,
lim
x0
x
|x|
= lim
= lim 1 = 1,
+
x0
Math 101
Final Exam
May 23, 2011
15:30 - 17:30
Name
:
ID#
:
Department
:
Section
:
Instructor :
The exam consists of 5 questions of equal weight.
Please read the questions carefully.
Show all your work in legibly written, well-organized mathematical
se
Math 101, All sections, Homework #2 (Spring 2011)
Due to the week starting February 28, at the rst hour of the last lecture day that week.
Question 1.
(a) Find an equation of the tangent to the curve y =
(1, 1).
x at the point (x0 , y0 ) =
(b) The height
Math 101 - Test 1 Jan 26 2011
Question 1:
(a)[3] Estimate / sin X dx using four subintervals and right endpoints. -
0 .
3' %:Siv\y
(b)[3] Determine the value of
I1
I=MZ
i=1
by writing it as the definite integral of some function f(X) over an interva