Mathematics 54
Exercises 9 - Polar Curves I
I. Write the capital letter pertaining to your choice of the best answer.
1. The graph of r = 5 2 sin is a:
(A) limacon with a loop
(C) limacon with a dent
(B) cardioid
(D) convex limacon
2. The rose r = 4 cos 3
Mathematics 54
Exercises 7 - Conic Sections
Do as indicated.
1. Find an equation for the parabola whose axis of symmetry is x = 1, and passing through
the points (3, 2) and (2, 3).
2. Find an equation for the ellipse whose foci are (2, 1) and (2, 3) and m
Mathematics 54
Exercises 8 - Parametric Equations and Parametric Curves
Do as indicated.
d2 y
1. Given the parametric equations x = ln t and y = t3 + 1 where t > 0, find
without eliminating the
dx2
parameter.
2. Give a set of parametric equations for the