Last Polar Topic, I promise (it just didn't fit into the past few classes)
Sometimes we may be asked to find the average rate of a function 𝑓𝜃 over an interval 𝑎≤𝜃≤𝑏.
The formula for average rate of change is, as it always has been:
Example: Below is the rectangular graph of 𝑓𝜃=3−6cos𝜃 and the polar graph of 𝑟=𝑓𝜃. Find the average rate of change of 𝑓𝜃 over the interval 𝜋≤𝜃≤3𝜋2.