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Mumz [18]
3 years ago
15

A given field mouse population satisfies the differential equation dp dt = 0.5p − 410 where p is the number of mice and t is t

he time in months. (a) Find the time at which the population becomes extinct if p(0) = 770. (Round your answer to two decimal places.) 5.6 Incorrect: Your answer is incorrect. month(s) (b) Find the time of extinction if p(0) = p0, where 0 < p0 < 820.

Mathematics
1 answer:
AfilCa [17]3 years ago
4 0

Answer:

as shown in the attached file.

Step-by-step explanation:

The detailed, step by step explanation and application of integral with appropriate substitution to get the expression for the time of extinction is as shown in the attachment.

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Vera_Pavlovna [14]
Hello, 

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2 years ago
Find the area and the circumference of the circle with the radius 6yd.
fgiga [73]

Answer:

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Step-by-step explanation:

The formula of an area of a circle:

A=\pi r^2

The formula of a circumference of a circle:

C=2\pi r

<em>r</em><em> - radius</em>

<em />

We have <em>r = 6yd</em>.

Substitute:

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If you want round the answers, then use <em>π ≈ 3.14</em>

A\approx(36)(3.14)=113.04\ yd^2

C\approx(12)(3.14)=37.68\ yd

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x = -11/3 or -3.66....
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