Do all three of the following problems. Let $d$ be the number on the
whiteboard calculated from your student id. Clearly calculate this and
put it at the top of your worksheet that you hand in.
Find the point on the curve $y=sin(x)/x$ which is closest to
the point $(-3\pi/2,1/2)$.
Find the points on the curve $y=sin(x)/x$ which are closest to
the line $y = -1+1/d$ which are subject to the constraint that
the vector connecting the
point on the line and the curve is parallel to the curve and $-3\pi \leq x \leq 0$.
Graph $y=sin(x)/x$, $y=-1+1/d$, the point $(-3\pi/2,1/2)$ and all of your maxima and
minima with the $x$ value on the curve $y=sin(x)/x$ the range of
$-3\pi \leq x \leq 0$ (the range for your points on the line $y=-1+1/d$ may be
different) and the lines connecting the curve
and the relevant points. Graph them all on the same picture.
NOTE THAT THE PENALTY FOR HANDING THIS IS LATE IS QUITE STRICT. I WANT YOU TO
DO THIS IN THE ALOTTED TIME.
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 20% per hour (or part thereof). Make sure that your file is uploaded
Upload your worksheet to the course
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.