Math 153 Final Exam Extra Review Problems Worksheet printable pdf download

Math 153 Final Exam Extra Review Problems Worksheet

Math 153 Final Exam Extra Review Problems

This is not intended to be a comprehensive review

of every type of problem you are responsible for solving, but instead is meant to give you some extra

problems to practice in addition to what’s on your old quizzes, hw, worksheets, class notes, etc.

1) For each,

I) find the Difference Quotient (Make sure to simplify and that your h cancels!)

II) For each difference quotient that you found, find, if it exists, lim

→

III) For the functions in part d) and e) only, find the value of the difference quotient if

x = 3 and h = .5

2) a) If you have 600m of fencing and need to enclose the 5-sided field pictured, what

dimensions maximize the total area and what’s the total maximum area?

3) If you have 10,000 feet of fencing and need to enclose the 3 -sided field pictured,

what dimensions maximize the total area and what’s the total maximum area?

(This is referring to the AROC you found in part a)

c) Find the average rate of change over the interval [4,7]

(This is referring to the AROC you found in part a)

c) Find the average rate of change over the interval [4,7]

d) Find the average rate of change over the interval [-1,3]

7) The revenue generated from selling x items is given by R ( x ) = 1000x −

x .

Math 153 Final Exam Extra Review Problems Worksheet