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Math 10A.
Midterm Exam 2
February 28, 2011
Turn o and put away your cell phone.
You may use one page of notes, but no books or other assistance during this exam.
Read each question carefully, and answer each question com
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Math 10A.
Final Exam
March 16, 2011
Turn o and put away your cell phone.
You may use one page of notes, but no books or other assistance during this exam.
Read each question carefully, and answer each question completely
Example: Suppose that V=g(t) represents the volume of water in the pool (in gallons) after t
minutes, and h=f(V) represents the depth (in feet) of a pool containing V gallons.
Expression:
dv
or g(t)
dt
Interpretation: Rate of change of volume with respect
Math 10A
November 19, 2015
Exam 2
Version A
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Instructions
1. Write your Name, PID, Section, and Exam Version on the front of your Blue Book.
2. No calculators or other electronic devices are allowed during this exam.
3. You may use one page of n
Math 10A
Midterm Exam 2.
November 15, 2012
Version B
Instructions:
1. You may use one page of notes, but you may not use any books or other
assistance during this exam.
2. Write your Name, PID, and Section (for example A02) on the front of your
Blue Book.
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Math 10B.
Final Examination
March 17, 2010
Turn off and put away your cell phone.
You may use any type of calculator, but no other electronic devices during this exam.
You may use one page of notes, but no books or other
MATH 10A Bonus Assignment (Section B0 )
Name
Due February 9, 3:50pm in class. This assignment is worth up to 3 points on your Midterm 1 score. You may get help with these problems, but the solution should be written by you in your own words. Explain your
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Math 10A.
Midterm Exam 1
January 28, 2011
Turn o and put away your cell phone.
You may use one page of notes, but no books or other assistance during this exam.
Read each question carefully, and answer each question comp
10A Midterm 1 Review
Martha Yip
Disclaimer: there may be typos!
Functions:
to each input x, assigns a unique output f (x)
Any vertical line intersects the graph of a function in at most one point. Domain: all possible inputs into f Range: all possible out
Proving why the Product Rule is Necessary
Notice: If f (x)=x 2 and g( x)=x3 ,
d
d
[f ( x)g (x)]= [ x7 ]=7 x 6
dx
dx
but f ' (x) g ' ( x)=2 x5 x 4 =10 x 5 .
If f (t) represents length (in feet) after t hours, and g(t) is width (in feet) after
t hours, the
Quick Note:
Power Rule: f(x) = xn, f(x)=nxn-1
Applications; Second Derivatives
Example: The cost to produce x hundred T-shirts is given by C(x)=200+40x
Find and interpret C(5) and C(5).
Solution: C(5)= 200+40(5) = 400
When 500 T-shirts are produced, the c
Functions
Def: A quantity y is a function of another quantity x, if knowing the value of x completely
determines the value of y
Example:
The area of a square is a function of its side length
The time it takes to run a mile is a function of your speed
The
Math 10B Final Exam
Review Problems
These problems are all from the text book. I have put the page and problem numbers beside each
problem. Note that I modified a few problems.
1. Decide whether the statements are true or false.
p297.5
(a) On the interval
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Math 10B.
Final Examination
March 16, 2011
Th
sh is
ar stu
ed d
vi y re
aC s
o
ou urc
rs e
eH w
er as
o.
co
m
Turn off and put away your cell phone.
You may use any type of calculator, but no other electronic devices dur
Math 10B B00
Final Exam
December 5, 2011
Solution: Included.
Turn off and put away your cell phone.
You may use any type of calculator, but no other electronic devices during the exam.
You may use one page of notes, but no books or other assistance dur
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Math 10B.
Final Examination
March 21, 2006
Read each question carefully, and answer each question completely.
Show all of your work. No credit will be given for unsupported answers.
Write your solutions clearly and legib
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Math 10B.
Final Examination
March 21, 2007
Turn o and put away your cell phone.
You may use any type of calculator, but no other electronic devices during this exam.
You may use one page of notes, but no books or other a
Math 10B Final Exam Solutions
150 pts
December 8, 2009
Professor Evans
Directions: Answers alone are not sufficient. Justify, and show all work. The multiple part
problems 4,6,7 are worth 18 points each. The other six problems are worth 16 points each.
(1
Math 10B
Final Examination
March 19, 2013
Version A
Instructions
1. No calculators or other electronic devices are allowed during this exam.
2. You may use one page of notes, but no books or other assistance during this exam.
3. Write your Name, PID, and
Logarithmic and Triganometric Functions
Definition: logb x=a means ba =x
Example:
log2 16=4 because 24 =16
log9 81=2 because 92=81
log3 27=3 because 33=27
log4 2=1/2 because 4 1/ 2=2
1
1
log6 =2 because 62=
36
36
log 7 1=0 because 70=1
5
loga a =5
b
log6
Limits
Principle: Limits interact nicely with addition, subtraction, multiplication, division, exponents,
logarithms, and trig functions.
lim (x 25)=325=4
Example:
x 3
In detail:
2
2
lim ( x 5)=lim x lim 5
x 3
x 3
x 3
2
lim x lim 5
x 3
x 3
2
3 5
4
Rememb
Name: _ Section (assigned): _ Section (attended): _ Math 10A Practice Midterm 1 February 1, 2008 Notes allowed (one page), graphing calculators allowed, show all work 50 points total, each problem worth 10 points 1. If possible, choose a constant k s
Math 10A Midterm 2
February 23, 2005 Please put your name, ID number, and sign and date. There are 4 problems worth a total of 100 points. You must show your work to receive credit. Print Name: Student ID: Signature and Date:
Problem 1
Score /25
Student name: Student PID: MATH 10A (Butler) Midterm I, 29 January 2007 This test is closed book and closed notes, with the exception that you are allowed 1 one 8 2 11 page of handwritten notes. No calculator is allowed for this test. When answering