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musickatia [10]
3 years ago
6

Easy question 4 someone

Mathematics
2 answers:
neonofarm [45]3 years ago
8 0

Answer is (c) BC.

Angle A is only opposite to the side BC

olga_2 [115]3 years ago
8 0

Answer:

C. BC

Step-by-step explanation:

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

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Given

Variation: Directly Proportional

Insects = 10 million when Rate = 2 million

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Required

Determine the differential equation for the scenario

The variation can be represented as:

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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}

k = \frac{2}{10}

k = \frac{1}{5}

Substitute \frac{1}{5} for k in \frac{dP}{dt} \ =\ k * P

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

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

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