 
Summary: Mathematics 3C Summer 3B 2009
Worksheet 3, August 11th, TA Grace Kennedy
NAME:
PREP for 8/11: Read text Sections 2.1, finish worksheet, review for MIDTERM
MY WEBSITE: http://math.ucsb.edu/ kgracekennedy/SB093C.html1
1. Draw some of the curves given by x2
+ y2
= C. On top of that, draw
curves that meet these at right angles.
2. Find the orthogonal trajectories of the following family of equations. (Care
fully justify everything you do, explaining in words if needed.)2
(a) x2
+ y2
= C Does you think your drawing in Question 1 correspond
to your answer?
(b) y4
= Cx
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announcements.
2Please note that sometimes you have to "deal with the C" and sometimes not.
