Solution Found!
Complete curves Consider the polar curve r = cos (n/m),
Chapter 8, Problem 106AE(choose chapter or problem)
Consider the polar curve \(r=\cos\ (n\theta/m)\), where n and m are integers.
a. Graph the complete curve when n = 2 and m = 3.
b. Graph the complete curve when n = 3 and m = 7.
c. Find a general rule in terms of m and n for determining the least positive number P such that the complete curve is generated over the interval [0, P].
Questions & Answers
QUESTION:
Consider the polar curve \(r=\cos\ (n\theta/m)\), where n and m are integers.
a. Graph the complete curve when n = 2 and m = 3.
b. Graph the complete curve when n = 3 and m = 7.
c. Find a general rule in terms of m and n for determining the least positive number P such that the complete curve is generated over the interval [0, P].
ANSWER:Solution 106AEStep 1:Given: a. Using n = 2 and m = 3, we get Graph of is: b. Using n = 3