Summary: Mathematics 3C Summer 3B 2009
Worksheet 3, August 11th, TA Grace Kennedy
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
= 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
= C Does you think your drawing in Question 1 correspond
to your answer?
1Go here for information on quizzes, office hours, section worksheets, and other section
2Please note that sometimes you have to "deal with the C" and sometimes not.