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AlladinOne [14]
3 years ago
10

El área de un rectángulo es 6 x al cuadrado más 2x en cm Determine su base y altura​

Mathematics
1 answer:
Anettt [7]3 years ago
3 0

Answer:

Tres respuestas posibles son:

2 y 3x^2 + x

2x y 3x + 2

x y 6x + 2

y hay muchas mas.

Step-by-step explanation:

Hay muchas respuestas posibles.

6x^2 + 2x = 2(3x^2 + x) = 2x(3x + 2) = x(6x + 2)

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During the period from 1790 to 1930, the US population P(t) (t in years) grew from 3.9 million to 123.2 million. Throughout this
alex41 [277]

Answer:

Step-by-step explanation:

Given that during  the period from 1790 to 1930, the US population P(t) (t in years) grew from 3.9 million to 123.2 million. Throughout this period, P(t) remained close to the solution of the initial value problem.

\frac{dP}{dt} =0.03135P =0.0001489P^2, P(0) = 3.9

a) 1930 population is the population at time t = 40 years taking base year as 40

We can solve the differential equation using separation of variables

\frac{dP}{0.03135P – 0.0001489P^2 } =dt\\\frac{dP}{-P(0.03135 – 0.0001489P } =dt

Resolve into partial fractions

\frac{31.8979}{P} -\frac{0.00474}{0.0001489P-0.03135}

Integrate to get

ln P -0.00474/0.0001489  (ln (0.0001489P-0.03135) = t+C

ln P -31.833  (ln (0.0001489P-0.03135) =t+C

\frac{P}{( ( (0.0001489P-0.03135)^{31.833}  } =Ae^t

Limiting population would be infinity.

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