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Math 176: Test for Chapter 3

This test may be taken with a calculator and any number of hand-written notes. Computers or books and other printed material, be they copies, printouts, or typed, are not allowed.
Place your answer in space provide for each question.
Notice: this page changes every time it is loaded, or re-loaded (refreshed). Be careful to read all of each problem. Because these pages are produced on the WEB, for printed versions of these pages there is a chance that a problem, or its possible answers, will be split across two pages.
____________________ 1. Simplify the following:
____________________ 2. Simplify the following:
____________________ 3. Simplify the following:
____________________ 4. Simplify the following:
____________________ 5. Simplify the following:
____________________ 6. Simplify the following:
____________________ 7. Simplify the following:
____________________ 8.
Plot the function given below on the graph to the right. Note that the graph is meant to have
-6.3 < x < 6.3
-6.2 < y < 6.2
____________________ 9.
Plot the function given below on the graph to the right. Note that the graph is meant to have
-6.3 < x < 6.3
-6.2 < y < 6.2
____________________ 10.
Plot the function given below on the graph to the right. Note that the graph is meant to have
-6.3 < x < 6.3
-6.2 < y < 6.2
____________________ 11. Give the equation(s) of any horizontal asymptotes for the function
____________________ 12. Give the equation(s) of any vertical asymptotes for the function
____________________ 13. Give the coordinate pair of the y-intercept for the function
____________________ 14. If we are given the relationship,  
____________________ 15. The number of cells in a particular bacterial colony is given by
____________________ 16. Write the equivalent expression for the following
by breaking the expression into the sum and/or difference of simple log expressions.

 

____________________ 17. Write the equivalent expression for the following
by combining the expression into a single log expression.
____________________ 18. Solve the following equation by using the properties of logarithms.
As part of your solution you must identify and eliminate any extraneous solutions.
____________________ 19. Use the change of base theorem to calculate the value of
Express your answer rounded to 5 decimal places.
____________________ 20. Use the change of base theorem to calculate the value of
Express your answer rounded to 5 decimal places.
____________________ 21. The formula, A = Pe rt, determines the "future value", A, of investing P dollars at the annual interest rate of r, compounded continuously, for t years. Use that formula to find, to the nearest penny, the future value of inversting
____________________ 22. The formula given in problem 21 can be used to solve the following problems. How much would you have to invest today at (Note that your answer should be rounded up to the next whole penny so that your goal will be reached.)
____________________ 23. The formula given in problem 21 can be used to solve the following problems. You have (Round your answer off to the nearest hundredth of a percent.)
____________________ 24. A certain material decays exponentially according to the formula
____________________ 25. A certain material decays exponentially according to the formula

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©Roger M. Palay     Saline, MI 48176     November, 2010