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

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

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.

Math 125 Final Study Guide
From Exam 1:
#3 and 4 Ch 1.2: Break-even 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

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