http://interval.louisiana.edu/courses/109/fall1999math109_exam_hints.html
Math. 10910, Fall, 1999 Hints for the Exams
Instructor: R.
Baker Kearfott, Department
of Mathematics, University of Louisiana
at Lafayette
Office hours
and telephone, Email: rbk@louisiana.edu.
This page will change throughout the semester.
/ First Exam / Second
Exam / Third Exam / Fourth
Exam / Final Exam /
Note: Previously given exams are available below
in Postscript format, that can be printed with a Postscript printer.
The files can also be viewed and printed with Ghostscript
and GSview.
The first exam:
Click
here for page 1 of answers to the first exam
Click
here for page 2 of answers to the first exam
Click
here for a Postscript copy of the first exam
The second exam:

You will be required to find the equation of a line through two points,
or through a point and with a given slope. You should be able to
put an equation in slopeintercept form, find the slope and the intercept,
and graph the equation. Also, you should review composition of functions,
as you may need to compose linear functions.

You will be required to compute a linear least squares fit to some data,
and to interpret the results. You will need to know how to interpolate
and extrapolate, and you will need to know the difference between interpolation
and extrapolation.

You should be able to find equations of parabolas, given points on the
parabola or the vertex and another point on the parabola.
You will need to know how to set up and work word problems for maximizing
or minimizing a quantity, where the quantity obeys a quadratic relationship.
Click
here for page 1 of answers to the second exam
Click
here for page 2 of answers to the second exam
Click
here for a Postscript copy of the second exam
The third exam:
The exam will have three problems, from the following four kinds of
problems.

Design a polynomial function that has specified simple xintercepts,
that has specified multiple xintercepts, and whose graph passes
through a specified point.

Given a table of (x,y) data, compute the first and secondorder
differences.

Assuming the data represents exactly either a linear or a quadratic relationship,
determine which kind of relationship it is from the differences you computed.
Use the differences to explicitly write down either the appropriate degree1
or appropriate degree2 polynomial.

Evaluate your polynomial at various points. State, for each of these
evaluations, whether it represents an interpolation or an extrapolation.

Given a large table of data,

determine linear, quadratic, cubic, and quartic fits to the data.

Graph the linear, quadratic, cubic, and quartic fits, and sketch the graphs
on your paper.

Based on the graphs, decide which fit best represents the data.

Given a rational function f(x),

sketch the graph the function on your paper, labeling xintercepts,
the yintercept, vertical asymptotes, and horizontal asymptotes
with numbers.

Write down various limits, both infinite and noninfinite. (You need
to be very familiar with the limit notation from §3.5.)
Click
here for page 1 of answers to the third exam
Click
here for page 2 of answers to the third exam
Click
here for page 3 of answers to the third exam
Click
here for a Postscript copy of the third exam
The fourth exam:
The exam will have five problems, to test the following skills.

Computation of logarithms from the definition, such as log_{2}4
or log_{5}(5^{12345}) or 10^{log(3210)}.

Understanding problems involving compound interest, where the compounding
is a specific number of times per year, or else continuous.

Understanding solution of equations in which the variable occurs in an
exponent.

Understanding solution of equations in which the variable occurs in an
argument to a logarithm function.

Sketching the graph of a function that involves logarithms, labeling with
numbers the asymptotes and intercepts.
Click
here for page 1 of answers to the fourth exam
Click
here for page 2 of answers to the fourth exam
Click
here for page 3 of answers to the fourth exam
Click
here for a Postscript copy of the fourth exam
The final exam:
The final exam generally will have problems similar to those on the
first four exams. Otherwise, pay particular attention to word problems
involving linear equations.
Click
here for page 1 of answers to the final exam
Click
here for page 2 of answers to the final exam
Click
here for page 3 of answers to the final exam
Click
here for page 4 of answers to the final exam
Click
here for a Postscript copy of the final exam