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vale2652
25.01.2022 •
Mathematics
1 : (-4, -2 )
2: ( -2, -4 )
3: ( 2, -4 )
4: ( -4, 2 )
Solved
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Ответ:
R(—4,—2)
Step-by-step explanation:
Option 1
Ответ:
The rate of change of volume is
.
Step-by-step explanation:
The surface area
of the sphere of radius
is given by
and the volume
of the same is
Now we are told that there rate of change of surface area is
or
which means
From the product rule we see that
which we substitute into equation (3) to get:
Now, we find the rate of change of volume by taking the time derivative of equation (2) as follows:
From the product rule
and since
we have
putting this into equation (5) we get:
from equation (4) we substitute the value of
to get:
Now, when the area is
, the radius is
putting that into equation (7) we get
Thus, the rate of change of volume is![127.3\: cm^3/s.](/tpl/images/0561/3469/f9f27.png)