Math 125
Exam 2
100 Points
Name: _
1. Find the limit. (10 pts)
lim
x 1
x2 x 2
x2 1
2. Find the marginal revenue when x = 10 for the revenue equation
R 100 x 50 x
3
(8 pts)
2
1
3. Use the quotient rule to find the derivative of
2
f ( x)
4. Find
g (32)
whe
Math 125 Final Study Guide
From Exam 1:
#3 and 4 Ch 1.2: Breakeven point, and supply and demand
#9 Ch 4.2: Compound interest n times a year and continuously
#10 Ch 4.4: Solve exponential and logarithmic equations
#8 Ch 4.4: Double or triple time problems
Quiz 2 Math 125
50 Points
Name: _
1. The revenue R (in dollars) from producing x units is modeled by:
3
R 50(20 x x 2 )
a. Find the revenue at x = 16, then at x = 17, and find the difference between them.
(10 pts)
b. Find the marginal revenue when x = 16.
Exam 1 Math 125
100 pts
Name: _
1. Simplify by factoring. (7 pts)
2 x( x 1) 5 2 4( x 1) 3 2
2. Subtract and simplify. (7 pts)
x
1
x 9 x 3
2
3. C represents the total cost (in dollars) of producing x units of a product and R represents
the total revenue (i
Math 125
Quiz 3 (50 pts)
Name: _
1. Use differentials to approximate the change in profit when the production level changes from
115 to 200 units. (12 pts)
P 1.5 x 2 577 x 3000
2. Find the derivative of the exponential function. Factor your answer. (13 pt
MATHEMATICAL TRIPOS
Part III
Friday 9 June, 2006
9 to 12
PAPER 23
SPECTRAL GEOMETRY
Attempt THREE questions.
There are FIVE questions in total.
The questions carry equal weight.
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MATHEMATICAL TRIPOS
Part III
Monday 11 June 2007
9.00 to 12.00
PAPER 22
COMPLEX MANIFOLDS
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There are FIVE questions in total.
The questions carry equal weight.
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MATHEMATICAL TRIPOS
Part III
Wednesday 6 June 2001
9 to 12
PAPER 22
ADVANCED FINANCIAL MODELS
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MATHEMATICAL TRIPOS
Part III
Wednesday 4 June 2003
9 to 12
PAPER 24
MODULAR FORMS
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MATHEMATICAL TRIPOS
Part III
Wednesday 4 June 2003
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PAPER 20
CONSTRUCTIVE TOPOLOGY
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MATHEMATICAL TRIPOS
Part III
Friday 10 June, 2005
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PAPER 22
STABLE HOMOTOPY THEORY
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MATHEMATICAL TRIPOS
Part III
Friday, 5 June, 2009
1:30 pm to 4:30 pm
PAPER 24
TOPOS THEORY
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There are SEVEN questions in total.
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The paper is in two sec
MATHEMATICAL TRIPOS
Part III
Friday, 28 May, 2010
9:00 am to 11:00 am
PAPER 25
TOPICS IN ANALYTIC NUMBER THEORY
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MATHEMATICAL TRIPOS
Part III
Thursday 31 May 2007
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PAPER 25
CATEGORY THEORY
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MATHEMATICAL TRIPOS
Part III
Friday 28 May, 2004
9 to 12
PAPER 25
CLASS FIELD THEORY
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MATHEMATICAL TRIPOS
Part III
Monday 4 June 2001
9 to 11
PAPER 23
MATHEMATICAL MODELS IN FINANCIAL MANAGEMENT
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MATHEMATICAL TRIPOS
Part III
Friday 8 June 2001
9 to 11
PAPER 20
DIOPHANTINE ANALYSIS AND TRANSCENDENCE THEORY
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MATHEMATICAL TRIPOS
Part III
Monday 12 June, 2006
9 to 12
PAPER 25
SET THEORY
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MATHEMATICAL TRIPOS
Part III
Monday 4 June 2001
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PAPER 21
ADVANCED PROBABILITY
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MATHEMATICAL TRIPOS
Part III
Monday, 8 June, 2009
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PAPER 25
SET THEORY AND LOGIC
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MATHEMATICAL TRIPOS
Part III
Thursday 30 May 2002
9 to 12
PAPER 21
SET THEORY
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MATHEMATICAL TRIPOS
Part III
Thursday 9 June, 2005
9 to 12
PAPER 21
K3 SURFACES
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MATHEMATICAL TRIPOS
Part III
Friday 31 May 2002
9 to 12
PAPER 20
CATEGORY THEORY
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MATHEMATICAL TRIPOS
Part III
Monday 7 June, 2004
1.30 to 4.30
PAPER 24
SET THEORY
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Calculus for Architecture and Construction Management
MATH 182

Fall 2015
MATHEMATICAL TRIPOS Part III
Tuesday, 3 June, 2014 1:30 pm to 4:30 pm
PAPER 13
ALGEBRAIC GEOMETRY
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There are FOUR questions in total.
The questions carry equal weight.
STATIONERY REQUIREMENTS SPECIAL REQUIREMENTS
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Calculus for Architecture and Construction Management
MATH 182

Fall 2015
MATHEMATICAL TRIPOS Part III
Wednesday, 5 June, 2013 9:00 am to 12:00 pm
PAPER 15
DIFFERENTIAL GEOMETRY
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There are FIVE questions in total.
The questions carry equal weight.
STATIONERY REQUIREMENTS SPECIAL REQUIREMENTS
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Calculus for Architecture and Construction Management
MATH 182

Fall 2015
MATHEMATICAL TRIPOS Part III
Tuesday, 7 June, 2011 9:00 am to 11:00 am
PAPER 12
COMBINATORICS
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There are FOUR questions in total.
The questions carry equal weight.
STATIONERY REQUIREMENTS SPECIAL REQUIREMENTS
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Calculus for Architecture and Construction Management
MATH 182

Fall 2015
MATHEMATICAL TRIPOS Part III
Friday, 8 June, 2012 9:00 am to 12:00 pm
PAPER 16
KNOTS AND 4MANIFOLDS
Attempt BOTH questions from Section I
and no more than THREE questions from Section II.
There are EIGHT questions in total.
The questions carry equal weig
Calculus for Architecture and Construction Management
MATH 182

Fall 2015
MATHEMATICAL TRIPOS Part III
Monday, 6 June, 2011 1:30 pm to 4:30 pm
PAPER 17
ALGEBRAIC GEOMETRY
Attempt no more than FOUR questions.
There are FIVE questions in total.
The questions carry equal weight.
Algebraic sets are defined over an algebraically clo
Calculus for Architecture and Construction Management
MATH 182

Fall 2015
MATHEMATICAL TRIPOS Part III
Monday, 9 June, 2014 1:30 pm to 4:30 pm
PAPER 16
SYMPLECTIC TOPOLOGY
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There are SIX questions in total.
The questions carry equal weight.
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