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docker41 [41]
3 years ago
12

Please help I don't understand this!

Mathematics
1 answer:
Igoryamba3 years ago
3 0

Answer:

0.9950   to the nearest ten thousandth.

Step-by-step explanation:

We use the identity sin^2 t = 1 - cos^2 t

sin^2 t = 1 - (0.1)^2

= 0.99

So sin t = 0.9950 (answer).

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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

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:

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

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Convert to equation

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

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

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

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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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