Exam 1
Sample
Engr101: Introduction to Algorithms and Programming
Section 100 / 200 / 300
You are allowed to use the books and your notes.
You may not use electronic devices: including, but not limited to,

Math 116-009 (Fall 2012)
Quiz 3: 7.5, 8.1-8.2
09/27/2012
Name:
Show all work and include units where appropriate. (20 pts)
1. The Belgian scholar Lambert Quetelet published a distribution of chest measurements of Scottish
soldiers in 1846. His distributio

Math 116-009 (Fall 2012)
Quiz 3: 7.5, 8.1-8.2
09/27/2012
Name:
Show all work and include units where appropriate. (20 pts)
1. The Belgian scholar Lambert Quetelet published a distribution of chest measurements of Scottish
soldiers in 1846. His distributio

Math 116-009 (Fall 2012)
Quiz 2: 6.4, 7.1 - 7.2
09/18/2012
Name:
Show all work and include units where appropriate. (20 pts)
1. (a) Using the second FTC, nd a formula for the function A(t) giving the area under the curve
y = cos x x + 1 between x = 1 and

Math 116-009 (Fall 2012)
Quiz 1: 5.1 - 6.2
09/11/2012
Name:
Show all work and include units where appropriate. (20 pts)
1. Let f (x) be an odd function and let g (x) be an even function. Given that
8
8
f (x)dx = 4,
3
8
0
3
g (x)dx = 2,
f (x)dx = 10,
3
g (

Math 116-009 (Fall 2012)
Quiz 0: Student Data Sheet
09/04/2012
Name:
Show all work and include units where appropriate. (This quiz is worth approximately 0 points.)
1. Please list any math courses youve taken in high school and at the university level.
2.

Math 116 Fall 2012
Team Homework 1
Problem 1 : The number of U.S. citizens 65 and older from 1990 through 2050 is estimated to be
growing at the rate of
R(t) = 0.063t2 0.48t + 3.87
(0 t 15)
million people/decade, where t is measured in decades and t = 0 c

Selection
Lecture 4: 17 Sep 2012 Kominsky
Announcements
Questions about project1?
Selection
Selective
execution of
steps based
on specified
condition
Greatest Common Factor
1: Request a value for a
2: Request a value for b
3: if a b then assign b to c
4:

Functions
Lecture 3: 12 Sep 2012 Kominsky
Announcements
Project1 available in resources
From algorithms to programs
Last time we developed some sequences of statements,
for instance the following:
disc = b^2 4*a*c;
x = (-b + [1 -1] * sqrt(disc) / (2*a);
T

Matlab
Lecture 2: 10 Sep 2012 Kominsky
Announcements
Some clarifications of project 0
From algorithms to programs
Algorithm = a precise specification of a computational
process
If the specification is precise enough to execute
automatically, we call it a

ENGR 101: Intro to Computers and
Programming
Lecture 1: 5 Sep 2012 Kominsky
What is ENGR 101?
Engineering 101 introduces first-year students to the
concept of an algorithm: a well-defined set of instructions
that achieve a particular goal.
- Constructing

Math 116
Fall 2012
Team Homework 4
Problem 1 : A forest is 10 miles long. A wildre starts at one end of the forest and moves in
the opposite direction. Let x be the distance in miles from a point on the forest to
the place where the re started. The positi

Math 116
Fall 2012
Team Homework 3
Problem 1 : Egg geometrical calculations are important for the poultry industry and in biological
studies*. In this problem, you will estimate the volume of an egg.
1. The shape of the egg is approximated by a solid S ob

Math 116
Fall 2012
Problem 1 : Let
2t
2t
4
xex dx
G(t) =
Team Homework 2
and
0
4
xex dx.
H (t) =
1
1. Is the function G(t) even, odd or neither? Hint: Find a formula for G(t) and use
the substitution u = x .
2. Use Left(4) and Right(4) to approximate the

Math 116-009 (Fall 2012)
Handout 8.4: Density and Center of Mass
09/27/2012
Name:
1. Set up but do not evaluate an expression to nd the y -center of mass of a 2 inch wide
by 3 inch high rectangular object having a density (y ) = cos(y ) g/in2 . (y is the

Math 116-009 (Fall 2012)
Handout 6.4: The Second FTC
09/11/2012
1. Compute the following derivatives:
x
(a)
d
dx
d
dr
+1
dt
2
r
(b)
2
et
tan t dt
0
10
(c)
d
dt
ln | sin x| dx
t
t2 +1
(d)
d
dt
ex dx
2
z
(e)
d
dz
ecos w dw
z
sin
(f)
d
dx
t5 t2 + 1 dt
cos

Math 116-009 (Fall 2012)
Handout 6.1, 6.2: Antiderivatives
09/07/2012
Name:
1. Find each of the following (Hint: You may have to rewrite the integrand rst! ):
(a) 3x3 4 3 x dx
(b)
(c)
sin(2y )
(z 1)2
z2
1
cos2 (y )
dy
dz
2. Let f be the function dened by

Math 116-009 (Fall 2012)
5.3-5.4: The FTC, Theorems about
09/06/2012
Name:
b
a f (x) dx
1. What is the average value of f (x) = 4 x2 for 2 x 0? Give an exact answer.
(Hint: draw a graph.) And as always, show your work.
2. Let F (t) = t(ln t) t.
(a) Verify

Math 116-009 (Fall 2012)
5.1-5.2: The Denite Integral
09/04/2012
Name:
1. Beer leaks out of a keg at an increasing rate r = f (t) in gallons per minute, where t is
measured in minutes. Assume that the beer is non-alcoholic so that no one actually cares
to

Exam 1 -
Answers
Sample
Engr101: Introduction to Algorithms and Programming
Section 100 / 200 / 300
You are allowed to use the books and your notes.
You may not use electronic devices: including, but not l