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Mathematics 3C Summer 3B 2009 Worksheet 3, August 11th, TA Grace Kennedy
 

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
1Go here for information on quizzes, office hours, section worksheets, and other section
announcements.
2Please note that sometimes you have to "deal with the C" and sometimes not.

  

Source: Akhmedov, Azer - Department of Mathematics, University of California at Santa Barbara

 

Collections: Mathematics