Answer:
(
g
−
f
)
(
a
)
=
g
(
a
)
−
f
(
a
)
(
g
−f
)
(
a
)
=
g
(
a
)
−
f
(
a
)
=
−
3
a
−
3
−
a
2
−
5
=
−
a
2
−
3a
−
8
Step-by-step explanation:
With the initial condition 
, we find
So the particular solution to the IVP is
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
