Please REVIEW the topics and take a look at problems!! 12 math questions in which all work needs to be shown. Majority of the topics involved are the following:
All work must be shown and make sense. If you are not proficient or well-versed in these math categories, please do not accept. Thank you!
Math 107: Quiz #5: Name: ______________________________________
Due: 11/07/20
Please show all work. Each problem is worth 10 points.
1. Sketch the graph of the given function, showing all necessary characteristics. This does not mean graph it from your calculators.
2. Find each of the following..
3a. Convert to an exponential equation.. 3b. Convert to a logarithmic equation..
4. Express in terms of sums and differences of logarithms. This means, expand.
5. Express as a single logarithm. This means, condense
6. Solve the given equation.
8. The population of Panama was 3.039 million in 2005, and the exponential growth rate was 1.3% per year.
a. In what year will the population be 12 million?
b. What is the doubling time?
9. Suppose $3000 is invested at a rate k, compounded continuously, and grows to $3700.45 in 3 years, find the balance after 8 years.
10. Find the inverse of the given function.
electricity. Solve for t.
12. ,
a. . (the little circle means, composition of functions. It does not mean multiply.)
Do not forget that x must be in the domain of g and g(x) must be in the domain of f.
b. .
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693
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64
