Solution Found!
Solved: The lemniscate family Equations of the form r2 = a
Chapter 8, Problem 85E(choose chapter or problem)
QUESTION:
Equations of the form \(r^2=a \sin 2\theta\ \text{and}\ r^2=a \cos 2\theta\) describe lemniscates (see Example 7). Graph the following lemniscates.
\(r^2=-2 \sin 2\theta\)
Questions & Answers
QUESTION:
Equations of the form \(r^2=a \sin 2\theta\ \text{and}\ r^2=a \cos 2\theta\) describe lemniscates (see Example 7). Graph the following lemniscates.
\(r^2=-2 \sin 2\theta\)
ANSWER:Solution 85E
Step 1:
Given that
r2 = a sin 2θ and r2 = a cos 2θ
r = −2 sin 2θ