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inessss [21]
2 years ago
8

Given: 9yº Simplify the expression for y= 3. (show your work and explain your reasoning.)

Mathematics
1 answer:
Leto [7]2 years ago
6 0
The answer you are looking for is 27
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Suppose that news spreads through a city of fixed size of 700000 people at a time rate proportional to the number of people who
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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))

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