Answer:
Step-by-step explanation:
Let's calculate the volume of the tank per each meter in height.
The volume of a cylinder is πr²h, where h is the height.
A height of 1 meter in a tank with a radius of 5 meters would hold a volume of:
Vol = (3.14)*(5 meters)^2 *(1 meter)
Vol (m^3) = 78.54 m^3 per 1 meter height.
If the tank were filled at a rate of 3 m^3/min, it would rise at at a rate of:
(78.54 m^3/meter)/(3 m^3/min) = 0.0382 meters/minute [38.2 cm/min
Answer:
24
Step-by-step explanation:
I'll assume the ODE is actually

Look for a series solution centered at
, with



with
and
.
Substituting the series into the ODE gives





- If
for integers
, then




and so on, with

- If
, we have
for all
because
causes every odd-indexed coefficient to vanish.
So we have

Recall that

The solution we found can then be written as


Answer:
See below
Step-by-step explanation:
The first step is to find the length of AB. By the Pythagorean Theorem:

Now, you can proceed:
