Math 45

3rd Midterm

Spring 1998

Dr Wilson

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1. Graph y = 2^x

2. Change to logarithmic form b^x = a

3. Change to exponential form t = ln x

4. Expand

5. Express as a single log log x - 2 log y + 3 log z

6. Solve for x and check

7. Suppose that the population of a city is 30,000 in 1985 and 50,000 in 1995. Assume further that the population is given by the formula

where P is the population in the year 1985, t is the number of years since 1985, A is the population t years after 1985, and r is a suitable constant.

• a) Find the value of r which will explain this data.
• b) Use this value of r to predict the population in the year 2000
• c) With this value of r, in what year will the population double from the 1985 population?

8. Write out Pascal's triangle down to the 7th row.

9. Remove parentheses and simplify (x + y)⁵

10. Compute ₂₅C₅

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