**No Calculators are allowed on this exam.**

- Find the inverse of the function.
- Rewrite the exponential expression in logarithmic form.
- Rewrite the logarithmic expression in exponential form.
- Find the greatest integer of a logarithmic expression. In English, that
means to give the integer part (usually first digit) of a logarithm.
For example, the log
_{5.4}412 is somewhere between 3 and 4 because 5.4^{3}<412<5.4^{4}. The greatest integer of any value between 3 and 4 is 3, so the answer is 3. The greatest integer function is symbolized using the double bracket and is a "round down" function. - Rewrite a logarithm using the change of base formula. Do not simplify or evaluate, just rewrite it.
- Write the expression as a sum, difference, and/or constant multiple of logarithms and simplify (if possible). Three parts.
- Write the expression as the logarithm of a single quantity. Three parts.
- Solve the equations. Give an exact answer. The problems have been designed so the answers can be found without a calculator. Pay attention to domain. Four parts.
- Simplify the expressions. Thirteen parts.
- Identify the conic section or degenerate case. Choices are no graph, point, line, parallel lines, intersecting lines, parabola, circle, ellipse, and hyperbola. Nine parts.
- Given a parametrically defined curve, complete a table of values and sketch the curve, indicating the direction of increasing t. Eliminate the parameter and solve for y. Be sure to include any restrictions that are necessary.
- Find the equation of the parabola with vertex at the origin.
- Find the equation of the ellipse with center at the origin.
- Find the equation of the hyperbola with center at the origin.
- Find the vertex, focus, and directrix of the parabola. Do not graph.
- Find the center, foci, and vertices of the ellipse. Do not graph.
- Find the center, foci, and vertices of the hyperbola. Also give the equations of the asymptotes. Do not graph.
- Identify the conic section and write the equation based on the graph. If a parabola, give the focal length; if an ellipse, give the center; if a hyperbola, give the center.
- Same instructions as #18.
- Same instructions as #18.
- Complete the square to put a conic into standard form. Identify the type of conic, coordinates of the center (vertex for a parabola), and the change in x and change in y (for a hyperbola or ellipse) or focal length (for a parabola).

- No calculators allowed on the in-class portion of the exam.
- None of the problems on the test are straight from the text, but should be similar to the problems in the text.
- There is a take-home portion of the exam worth 35 points and is due the day of the exam. The in-class portion of the exam is worth 90 points.
- The take-home portion has a web page to help you complete the LORAN-C Navigation problem.
- The LORAN-C problem on the take home test can be difficult if you don't carefully read the instructions.

# | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 13 | 14 | 15 | 16 | 17 | 18 | 19 | 20 | 21 | Take Home |
Total |
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|

Pts | 2 | 2 | 2 | 2 | 2 | 6 | 6 | 12 | 13 | 9 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 4 | 35 | 125 |