Name: TA: Math 10B. Midterm Exam 1 January 29, 2003
Section: Time:
1. Consider the function f satisfying f (x) = 2 cos x sin x, f (0) = 1, f (0) = 0. Find f .
2
2. Evaluate
2
4 x2 dx.
# 1 2 3 4 5
Score
3. If
0
4
f (x) dx = 17 and
3
0
f (x) dx = 35, nd
Math 10B, Section B, Spring 2017
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Prof. Jim Conant
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M ATH 10B: M IDTERM E XAM 1
July 12th, 2012
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M ATH 10B: M IDTERM E XAM 2
July 26th, 2012
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M ATH 10B: M IDTERM E XAM 2
July 26th, 2012
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Math 10B.
Midterm Exam 2
February 22, 2011.
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Math 10B.
Midterm Exam 1
January 25, 2011
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front of this exam sheet and any additional instructions written
on the chalkboard during the exam.
1.(5 points) Let f be a continuous and increasing function on the
in
Lecture 4
Permutations and Combinations
Sveinn lafsson
[email protected]
Permutations
We use Permutations when we are interested in the number of
possible ways to choose a subset of objects, and ORDER IS
IMPORTANT (Ex: a,b,b,a is not the same as b,
Lecture 5
Discrete Random Variables (R.V.)
Probability Mass Functions (PMF)
Sveinn lafsson
[email protected]
Random Variables
- A random variable (RV) is a real valued function whose domain is a
sample space .
-We will usually denote random variable
NYU-SH Calculus, Fall 2015 Homework 1
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Section (003-010):
Due date: September 14, 6:00 PM.
Last Accepted: September 15, 9:00 AM.
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Suggested warm-up exercises (these are not to turn in)
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61
d
1. (4 points) Compute 3 lnt dt and simplify your answer.
33 0
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Math 10B.
Final Examination
March 16, 2011
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Fall 2012
Math 10B
Exam 1 vA
University of California, San Diego
Department of Mathematics
Instructions
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Book.
2. No calculators or other electronic devices are a
Practice Problems for Midterm II, MATH 10B, 2010 Spring
1. Evaluate the following integrals. When doing so, state what method you are using (for example,
substitution, integration by parts, partial fractions) and show all your work.
x 1 x2 dx
(a)
(ln z)2
Quiz 4 Solution for MATH 10B, 2010
1. Calculate the integral, if it converges.
2
1
1
dx
x ln x
Solution. Let u = ln x, du = 1 du. Then
x
2
1
1
dx =
x ln x
ln 2
ln 1
1
du =
u
ln 2
= lim
a 0+
= lim
a 0+
a
ln 2
0
1
du
u
1
du
u
[ln |u|]ln 2
a
= lim (ln(ln 2)
Quiz 3 Solution for MATH 10B, 2010
1
1. Evaluate the integral
(Note that
d
dx
arctan x =
0
arctan xdx.
1
).
1+ x 2
Solution. Using the integration by parts with
u = tan1 x,
1
u=
,
1 + x2
v = 1,
v=x
the integral is
1
0
tan1 xdx = x tan1 x
1
0
1
0
x
dx
1 +
Name: _ PID: _ TA: _ Sec. No: _ Sec. Time: _ Math 10B Midterm Exam 2. February 26, 2007 Turn off and put away your cell phone. Read each question carefully, and answer each question completely. Show all of your work. No credit will be given for unsupporte