Answer:
t = 0, 1, 4, 8
h = 0, 12, 0 , 18
Step-by-step explanation:
t = 0 + 1 + 3 + 4
/ x1 - 5 (2) x + 4x + 9
h = 0, 12, 0, 18
After 18 seconds the ball attains...
x/3 = 1/4 - 4x 2(7) = 9/2 - 2 / 4 (0)
W/4 divide the two to find the quotient
Answer:
18
Step-by-step explanation:
Answer:
It will take about 35.49 hours for the water to leak out of the barrel.
Step-by-step explanation:
Let
be the depth of water in the barrel at time
, where
is measured in inches and
in hours.
We know that water is leaking out of a large barrel at a rate proportional to the square root of the depth of the water at that time. We then have that

where
is a constant of proportionality.
Separation of variables is a common method for solving differential equations. To solve the above differential equation you must:
Multiply by

Multiply by 

Take integral

Integrate

Isolate 

We know that the water level starts at 36, this means
. We use this information to find the value of
.


At t = 1, y = 34

So our formula for the depth of water in the barrel is

To find the time,
, at which all the water leaks out of the barrel, we solve the equation

Thus, it will take about 35.49 hours for the water to leak out of the barrel.