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
Two hundred thirteen thousand and ninety four stamps
<u>Supplementary:</u> N and M
Supplementary angles: A pair of angles whose sum is equal to 180°.
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<u>Vertical:</u> N and R
Vertical angles: A pair of angles that are made by two intersecting lines.
<u>Complimentary:</u> P and Q
Complimentary angles: A pair of angles whose sum is equal to 90°.
Hope this helps! :D
Answer:
120th term = 961
where
a = first term
d = common difference
n = number of terms
Step-by-step explanation:
Answer:
52.500 by 52.500 inches
Step-by-step explanation:
The rectangle with maximum area will be a square. Its side length will be 1/4 the perimeter, so is 210/4 = 52.5 inches.
The figure is a 52.500 inch square. The interval of optimization is <em>closed</em>.
_____
Side lengths are restricted to the interval 0 to 105 inches.
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Any n-sided polygon with a given perimeter will have its maximum area when the polygon is regular. A regular 4-gon is a square.
