3 years ago

It doesnt show for me

Mathematics

2 answers:

vesna_86 [32]3 years ago

4 0

Answer:

what do you mean it doesn't show for you?

Dvinal [7]3 years ago

3 0

What does not show for u?

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The population of a certain species of insect is given by a differentiable function P, where P(t) is the number of insects in th

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Answer:

$\frac{dP}{dt} \ =\ \frac{1}{5}P$

Step-by-step explanation:

Given

Variation: Directly Proportional

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Required

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The variation can be represented as:

$\frac{dP}{dt} \ \alpha\ P$

Which means that the rate at which the insects increase with time is directly proportional to the number of insects

Convert to equation

$\frac{dP}{dt} \ =\ k * P$

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

Substitute values for $\frac{dP}{dt}$ and P

$2\ million = k * 10\ million$

Make k the subject

$k = \frac{2\ million}{10\ million}$

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$k = \frac{1}{5}$

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3 years ago