# Chapter 5 Test Review

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```					Math 343
Final Exam Review
This exam will be worth 100 points and count 20% of your semester grade
Problems 1               Average rate of change and instantaneous rate of change
o Review problem #2 from exam 1.
o Additionally find the instantaneous rate of change at a point
by finding the value of the derivative at a point.
o Draw the tangent line at a point by applying the slope of the
tangent line found from the derivative.
Problem 2                Revenue, Cost and Profit functions
o Review problem #5 from exam 1
o Additionally find the marginal revenue, cost and profit
functions.
Problem 3                Equilibrium quantity and price
o Review problem #9 from exam 1
Problem 4                Retirement planning
o Review problem 4 from exam 2
o Additionally find the present value of a future amount
assuming a discount rate due to inflation.
Problem 5                Loan Amortization
o Review problem 9 from exam 2
Problem 6                Linear Programming
o Review problem 9 from exam 3 (an initial table will be
given) – you don’t have to show the graph but must list
corner points and show test.
Problem 7                Functions
o Find critical points
o Use second derivative test to determine relative maxima and
minima
o Find the intervals where a function is increasing and
decreasing
o Determine volume that produces maximum profit
o Determine maximum profit
Review Sec 10.1 #85 and 10.2 #95
Vocabulary / Concepts
Chapter 10 Vocabulary/Concepts:    Absolute extrema                    Review all
Increasing / Decreasing function   Critical number                     vocabulary/concepts
First derivative test              Concavity                           from previous study
Relative maximum / minimum         Intervals of Concavity              guides.
Relative maxima / minima           Inflection point
Relative extrema                   Second derivative test
Absolute maximum / minimum         Absolute Extra

```
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