Answer:
y'(t) = k(700,000-y(t)) k>0 is the constant of proportionality
y(0) =0
Step-by-step explanation:
(a.) Formulate a differential equation and initial condition for y(t) = the number of people who have heard the news t days after it has happened.
If we suppose that news spreads through a city of fixed size of 700,000 people at a time rate proportional to the number of people who have not heard the news that means
<em>dy/dt = k(700,000-y(t)) </em>where k is some constant of proportionality.
Since no one has heard the news at first, we have
<em>y(0) = 0 (initial condition)
</em>
We can then state the initial value problem as
y'(t) = k(700,000-y(t))
y(0) =0
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Height of the cylindrical pressure vessel = 9 feet
Diameter of the cylindrical pressure vessel = 6 feet
Then
Radius of the cylindrical pressure vessel = (6/2) feet
= 3 feet
Then
Volume of the cylindrical pressure vessel = <span>π<span>r^2</span></span><span>h</span>
= 3.14 * (3)^2 * 9 cubic feet
= 3.14 * 9 * 9 cubic feet
= 254.34 cubic feet
So the amount of gas that the cylindrical pressure vessel can hold is 254.34 cubic feet. I hope the procedure is clear enough for you to understand.
Answer:
44,000
Step-by-step explanation:
X=51
Add 57 and 61 and subtract from 180 (straight lines and 180 degrees)
That's y which is 62 and add the 67 degrees.
And once again subtract from 180 (degree fed of a triangle) to find x
