Math 231 Quiz 11 (take-home) Spring 2011
Name
•The quiz is due Thursday, April 14th at the beginning of your discussion section.
•You may work with other students in this class. However each student should write up
solutions separately and independently – nobody should copy someone else’s work.
•You may use your notes or the textbook.
•No calculators or computers are allowed on any problem.
•You must show sufficient work to justify each answer.
•Be sure that the pages are nicely stapled – do not just fold the corners.
•Note to TA’s – you should not help students with these specific problems or go over solutions
until after 4pm Thursday.
Do exercises 2, 6, and 10 from section 10.1. These exercises are reproduced below.
2. Sketch the curve by using the parametric equations to plot points. Indicate with an arrow
the direction in which the curve is traced as tincreases.
x= 2 cos t, y =t−cos t, 0≤t≤2π
6. (a) Sketch the curve by using the parametric equations to plot points. Indicate with an
arrow the direction in which the curve is traced as tincreases.
x= 1 + t, y = 5 −2t, −2≤t≤3
(b) Eliminate the parameter to find a Cartesian equation of the curve.
12. (a) Eliminate the parameter to find a Cartesian equation of the curve.
x= 4 cos θ, y = 5 sin θ, −π/2≤θ≤π/2
(b) Sketch the curve and indicate with an arrow the direction in which the curve is traced
as the parameter increases.