Below I am giving you a handful of problems. You don't need to do all of them,
but you must do the first problem.

Question #1:
Let st be your student id number. Enter the formula on
the blackboard. The answer to the question determines which two other questions
you should answer.

Question #2:
Given a string w where length(w) is even, construct a string
where the first and second characters are switched, the third and fourth characters
are switched, the fifth and sixth characters are switched, etc. For instance,
if w:="ABCDEFGH" then the output string out is "BADCFEHG".

Question #3:
Given a string w where length(w) is even, construct a string
consisting of the letters in the even positions, followed by the letters in the
odd positions. For instance,
if w:="ABCDEFGH" then the output string out is "BDFHACEG".

Question #4:
Given a string w with letters and other symbols, construct a string
where lower case letters are replaced by upper case letters and upper case
letters are replaced by lower case letters. For instance if w:="What do YOU want
with Me?", then the output string should be "wHAT DO you WANT WITH mE?"

Question #5: Show that the curves $\sqrt{25-x^2}$ and
$sin(2(x-5)\pi)$ intersect in exactly two points. Find the area between the two curves.

Question #6: Find at least one point of intersection for $0 < x < 10$ between the
curve $sin(5\pi x)$ and $\sqrt{10x-x^2}$. Give the value of $x$ to at least 3 decimal places.
Hint: one way of doing this is to graph the difference of these curves and find the zeros.

Question #7
Find the area between the two curves $6 sin^3( \pi x)$ and $sin^3(3 \pi x) sin^3( \pi x)$
for $x$ between 0 and 2.

You should be able to complete this quiz within the class time.
If you finish after the class time your overall grade for this assignment
will be reduced by 10% per day. Make sure that your file is uploaded
by 12:30pm.
Upload your worksheet to the course
moodle. You are
expected to work alone on this assignment.