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Mathematics

10th - 12th Grade

Logistic Differential Equations
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8 questions

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1.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Media Image

A

B

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D

2.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

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A

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D

3.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

A population is modeled by the function

y(t)y\left(t\right)  that satisfies the logistic differential equation  dydt=2y(1−y5)\frac{dy}{dt}=2y\left(1-\frac{y}{5}\right)  

For what value of y is the population growing the fastest?

y = 2.5

y = 5

y = 1

y = 2

4.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

The population of the little town of Scorpion Gulch is now 1000 people. The population is presently growing at about 5% per year.

Find the general solution.

P=.05e1000t

P=1000e5t

P=1000e.05t

p=lne1000t

5.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

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A

B

C

D

6.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

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A

B

C

D

7.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

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A

B

C

D

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