Answer:
A) -15
Step-by-step explanation:
The average rate of change of f(x) on interval [a, b] is given by ...
(f(b) -f(a))/(b -a)
Here, you have ...
f(x) = -2^x +70
[a, b] = [2, 6]
so the average rate of change is ...
(f(6) -f(2))/(6 -2) = ((-2^6 +70) -(-2^2 +70))/4 = (-64 +4)/4 = -16+1
average rate of change = -15
-4w^2 - 9w - 3
Hope this helps you!
Answer:

Step-by-step explanation:
The shaded area is the area of the curve bounded by θ = π and θ = 7π/6.* A differential of area in polar coordinates is ...
dA = (1/2)r^2·dθ
So, the shaded area is ...

_____
* We found these bounds by trial and error using a graphing calculator to plot portions of the curve.