BC Calc III
Quiz #7
Name:
No Calculator allowed.
You must show enough work so that I can recreate your results.
8 pts
#1a. Sketch the graph of r  1  sin( ),0    2 on the axes below. Neatness and
accuracy count!
b. Write the equation of the tangent line (in Cartesian coordinates) to the graph of
r  1  sin( ) , at the point where    . Graph this line on the above axes.
5 pts
#2. The graph of r  1  2cos is shown below. Shade in the region on the graph whose
area is given by
3
4
1
 2 1  2 cos   d .
2
3
6 pts
#3. The graph of r  4sin(5 ) is shown below. Set up an integral or integrals that give
the area inside one of the petals.
1 pt
#4. Find the points on the graph r  4  3cos       3  , 0    2 that are closest,

3  10
furthest from the origin. Answers may not turn out “nice”.