In order to be differentiable everywhere, 
must first be continuous everywhere, which means the limits from either side as 
must be the same and equal to 
. By definition, 
, and
so we need to have 
.
For to be differentiable at 
, the derivative needs to be continuous at , i.e.
We then need to have
Then
Answer:
A.
Step-by-step explanation:
Since it says greater than, that means that it cannot be B or D. And ≥ means greater than or equal to and they don't state that in the problem. So the answer would be A.
I HOPE THIS HELPED! :)
Ethans is the correct one
Option C, y = 1/2 x -2 is the correct answer
Answer:
-816.8 ft²/min
Step-by-step explanation:
The rate of change of area is the product of the rate of change of radius and the circumference of the circle. At the time of interest, ...
dA/dt = C·dr/dt = 2πr·dr/dt
dA/dt = 2π·(26 ft)(-5 ft/min)
dA/dt = -260π ft²/min ≈ -816.8 ft²/min
