Can someone please help me!!!!!!!!!!

Mathematics

1 answer:

melamori03 [73]3 years ago

3 0

Here’s your answer. If you need an explanation, let me know.

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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

Gnoma [55]

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

8 0

3 years ago

A farmer is building a grain silo for storage. he estimates that will need 256 cubic yards of storage. the grain silo will be sh

Vlad1618 [11]

Check the picture below.

keeping in mind that a cube is just a rectangular prism with all equal sides.