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4 years ago

PLEASE CAN SOMEONE HELP ME WITH THE 3 QUETIONS

Mathematics

1 answer:

VARVARA [1.3K]4 years ago

3 0

1.
2x (4x² -3x +8) - (3x+4)
8x³ - 6x² +16x -3x -4
8x³ -6x² +13x -4

2.
3x(2x²-7)+7x(x²+4)
6x³ -21x +7x³ +28x
13x³ +7x

3.
2x² (-4x^4 -12x² - x +17)
-8x^6 - 24x^4 - 2x³ + 34x²

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Assume that in the absence of immigration and emigration, the growth of a country's population P(t) satisfies dP/dt = kP for som

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Answer:

A) Differential equation for population growth in case of individual immigration is:

$\frac{dP}{dt}=kP+r$

B) Differential equation for population growth in case of individual emigration is:

$\frac{dP}{dt}=kP-r$

Step-by-step explanation:

Population growth rate in the absence of immigration and emigration is given as:

$\frac{dP}{dt}=kP--(1)$

A) When individuals are allowed to immigrate:

Let r be the constant rate of individual immigration given that r >0.

Differential equation for population growth in this case is:

$\frac{dP}{dt}=kP+r$

B) In case of individual emigration:

Let r be the constant rate of individual emigration given that r >0.

Differential equation for population growth in this case is:

$\frac{dP}{dt}=kP-r$

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Step-by-step explanation:

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