Question #0:
Let $CN$ be the computer number written on the side of your computer.
Enter CN:=your computer number; followed by the command (A,B,C):=((CN mod 4)+1, (CN mod 3)+5, (floor(CN/4) mod 2) + 8);
then click on the links corresponding to those numbers and enter the numbers here:
CN =
(A,B,C) =
Question #1: Click on the link corresponding to the value of A from Question #0
In the picture in links 1 through 4 (depending on the value of A) you will see a
graph of a curve given in both rectangular and polar coordinates.
Assuming the parameter $a=1$, give the two commands which draws the figure in both rectangular
and polar coordinates (recreating the graph in the picture as closely as you can,
but possibly at a different scale).
Question #2: Also use the link corresponding to the value of A from Question #0
The area of a polar region is given by the equation
$\int_{\alpha}^{\beta} \frac{1}{2} r^2 d\theta$.
Using the same graph as in problem 1,
write the Maple command that gives you the area of (one) enclosed loop
of of the graph and compute this area.
Question #3: Use the link corresponding to the value of B from Question #0
Now, using the graph from 5, 6 or 7 (depending on the value of B),
find the points of intersection of the two graphs
using the command solve. Copy below the commands that you used in order
to find the values of x and y.
Question #4: Use the link corresponding to the value of C from Question #0
Answer the question from the link 8 or 9 (depending on the value of C).
Place your name on the top of this sheet. Write your answers to the questions
on this paper. Make sure that you carefully copy punctuation correctly
as part of your answer.
The text for this midterm can be found at
http://garsia.math.yorku.ca/~zabrocki/math2041f18/midterm2/
in case you want to copy/paste the lines into a worksheet.
You should be able to complete this quiz within the class time
and you should hand your work into the professor.
You are expected to work alone on this assignment. Any indication of academic dishonesty
will result in a 0 for the assignment and possible higher penalties.