APFIVE Average Rate of Change of a Polar Function
For the polar function defined by $$r(\theta)= 5+ 3\cos(\theta)$$, determine the average rate of change of $$r$$ with respect to $$\theta$$ as $$\theta$$ increases from 0 to $$\frac{\pi}{2}$$.
| \(\theta\) (radians) | \(r(\theta)\) |
|---|---|
| 0 | 8 |
| \(\frac{\pi}{2}\) | 5 |
A
$$\frac{3}{\pi}$$
B
$$\frac{6}{\pi}$$
C
$$-\frac{6}{\pi}$$
D
$$-\frac{3}{\pi}$$
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