10/01/2012
MasteringPh sics: Assignments
Homew ork Set #1
Du e : 9:00am o n We d n e sd a , Jan u ar 18, 2012
[Pi
Not e : You w ill r e ce ive no cr e dit f or lat e s ubm is s ions . T ea
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Physics 1A
Midterm # 2
February 26th 2010
Name:
Discussion Section:
1) A spring with spring constant k is situated on the left of a flat surface as seen in
the diagram. A block with mass m rests against the spring, which is compressed
by an amount x and t
Physics 1A
Final
June 10th 2010
Name:
Discussion section:
1) A solid cylinder is initially moving along a flat surface without rotating. Due to
the action of friction, it eventually begins rolling without slipping. The
coefficient of friction is 0.22, the
MATH 32A (Butler)
Practice for Midterm I
Try to answer the following questions without the use of book, notes or calculator.
Time yourself and try to nish the test in less than 50 minutes.
1. Let P , Q and R be three points and a =P Q, b =QR and c =RP . S
Student name:
Student ID:
TAs name and/or section:
MATH 32A (Butler)
Midterm I, 16 April 2010
This test is closed book and closed notes. No calculator is allowed for this test.
For full credit show all of your work (legibly!). Each problem is worth 10 poi
Mathematics 32A
Ciprian Preda
Final Exam
Try to do all the problems, and be as explicit as required in your answers. Show your
work! Incomplete reasoning will lose points. There is plenty of working space, and
2 blank pages at the end. The number of poin
32A Stovall
Midterm 2
Name:
November 9
Section: Tu/Th
Duncan/Melissa
I certify that the work appearing on this exam is completely my
own:
Signature:
There are 5 problems and a total of 8 pages. Please make sure that
you have all pages.
Please show your
M IDTERM 1
May 20, 2002
Instructions.
Please show your work. You will receive little or no credit for an answer
not accompanied by appropriate explanations, even if the answer is correct.
If you have a question about a particular problem, please raise you
28/01/2012
MasteringPh sics: Assignments
Homew ork Set #2
Du e : 9:05am o n We d n e sd ay, Jan u ar y 25, 2012
Not e : You w ill r e ce ive no cr e dit f or lat e s ubm is s ions . To lear n mor e, r ead our ins tr uc tor 's Gr ading Polic
[ Print ]
[Sw
28/01/2012
MasteringPh sics: Assignments
Homew ork Set #3
Du e : 9:00am o n We d n e sd ay, F e b r u ar y 1, 2012
Not e : You w ill r e ce ive no cr e dit f or lat e s ubm is s ions . To lear n mor e, r ead our ins tr uc tor 's Gr ading Polic
[ Print ]
[
02/02/2012
MasteringPh sics: Assignments
Homew ork Set #4
Du e : 9:00am o n We d n e sd a , F e b r u ar 8, 2012
[Pi
Not e : You w ill r e ce ive no cr e dit f or lat e s ubm is s ions . T ea
]
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S a da d A
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08/02/2012
MasteringPh sics: MasteringPh sics: Scores
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5
A Last-minute Introduction to Recursion
A function that invokes itself is a recursive function. Consider the recursive factorial function below,
which computes the value of the expression n!:
1 int factorial(int n)
2cfw_
3
if (n <= 0)
/ Base case: 0! is
5
A Last-minute Introduction to Recursion
A function that invokes itself is a recursive function. Consider the recursive factorial function below,
which computes the value of the expression n!:
1 int factorial(int n)
2cfw_
3
if (n <= 0)
/ Base case: 0! is
CS31: Introduction to Computer Science I
Final Exam Practice
May 30, 2011
TA: Paul Wais (pwais@cs.ucla.edu)
1
Short Questions
1.1
Loop Review
Consider a reverse() function for C-strings:
1 void reverse(char word[])
2cfw_
3
int len = strlen(word);
4
for (i
UCLA
Department of Electrical Engineering
EEM16
Midterm
February 8th, 2010
1. Exam is closed book. You are allowed one 8 x 11 double-sided cheat sheet.
2. Show the intermediate steps leading to your final solution for each problem.
3. Calculators are allo
UCLA
Department of Electrical Engineering
EEM16 - Fall 2011
Practice Final
Name: _
UID: _
Problem 1
Derive the state transition/output table for the implementation of the finite state machine shown
in the figure below. The next state and output functions
Math 33B
Practice Final Solutions
J. Woodworth
December 5, 2012
1. Find the solution of the initial value problem
(t2 + 1)y (t) + 4ty (t) = 6t(t2 + 1), y (0) = 2
We recognize this as a linear rst order dierential equation, so we rst put the problem in
a m
1. (a) Find the general solution of the system y = Ay, where
1 2
4
3
A=
The characteristic polynomial is given by
2 2 + 5
The eigenvalues are = 1 + 2i and = 1 2i. The eigenvector, w, can be found from
1
(A I )w = 0. One such eigenvector is w =
. We can wr
MIDTERM 2
Math 33B
2/17/2010
Name:
Section:
Signature:
Read all of the following information before starting the exam:
Check your exam to make sure all pages are present.
Show all work, clearly and in order, if you want to get full credit. I reserve the
Math 33B Sample Midterm 2 Questions
These are questions from previous years midterms. They are intended to give you an idea
of the types of questions you may encounter on the exam. They should not be considered as a
comprehensive study guide. Note that th
Solutions to Hour Exam I
The problems on this exam came in multiple versions and were scrambled, so I
have just labelled them A, B, C,. here. The problems from your exam are here
somewhere.
A. Consider the dierential equation y = f (t, y ), where f (t, y
1.
(15 points ) Give general solutions to the following dierential equations:
x2
(a)
z = cos z
dz
x2
The equation dx = cos z is separable. We first separate variables and then integrate,
3
cos z dz = x2 dx. This gives sin z = x + C .
3
(b)
tu = eu
The equ
UCLA
Department of Electrical Engineering
EEM16
Midterm
February 8, 2010
1. Exam is closed book. You are ailowed one 8 V2 X 1 I doubEe-sided cheat sheet.
2. Show the intermediate steps leading to your nai solut'ton for each problem.
3. Calculators are a