Textbook ExpertVerified Tutor
9 Nov 2021
Given information
Given that the polar equation .
Step-by-step explanation
Step 1.
Consider the polar equation .
A rose curve is a graph that is produced from a polar equation in the form of where a ≠ 0 and is an integer > 1.
They are called rose curves because the loops that are formed resemble petals. The number of petals that are present will depend on the value of . The value of will determine the length of the petals.
If is an even integer, then the rose will have petals.
If is an odd integer, then the rose will have petals.
Therefore, the graph will be of 3 petals of rose curves.