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Oliga [24]
3 years ago
14

Which of the following statements is true for the logistic differential equation?

Mathematics
1 answer:
solong [7]3 years ago
8 0

Answer:

All of the above

Step-by-step explanation:

dy/dt = y/3 (18 − y)

0 = y/3 (18 − y)

y = 0 or 18

d²y/dt² = y/3 (-dy/dt) + (1/3 dy/dt) (18 − y)

d²y/dt² = dy/dt (-y/3 + 6 − y/3)

d²y/dt² = dy/dt (6 − 2y/3)

d²y/dt² = y/3 (18 − y) (6 − 2y/3)

0 = y/3 (18 − y) (6 − 2y/3)

y = 0, 9, 18

y" = 0 at y = 9 and changes signs from + to -, so y' is a maximum at y = 9.

y' and y" = 0 at y = 0 and y = 18, so those are both asymptotes / limiting values.

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Equivalent 5(6x+3y)
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The equivalent expression is 30x + 15y

<em><u>Solution:</u></em>

Given that we have to find the equivalent expression for given expression

<em><u>Given expression is:</u></em>

5(6x + 3y)

We can find the equivalent expression by using distributive property

The distributive property lets you multiply a sum by multiplying each addend separately and then add the products.

<em><u>By distributive property,</u></em>

a(b + c) = ab + ac

Therefore, in given expression 5(6x + 3y), 5 can be multiplied with both 6x and 3y

\rightarrow 5(6x + 3y) = 5 \times 6x + 5 \times 3y

Multiply the numbers and simplify

\rightarrow 5(6x + 3y) = 5 \times 6x + 5 \times 3y = 30x + 15y

Thus the equivalent expression is 30x + 15y

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4 years ago
6.6=w-1.2 What is w??
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Answer:

w=7.8

Step-by-step explanation:

5 0
3 years ago
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250 students out of 3,000 have found that math is their favorite subject among 10 subjects they are studying. If the choice of f
Oksi-84 [34.3K]

Answer:

The randomization distribution is created under the assumption that H₀: p = 0.1

The randomization distribution will also be centred at 0.1

Step-by-step explanation:

If the distribution was truly random, 1 out of 10 students will choose math as his/her favorite subject.

This means that the randomization will have the null hypothesis saying that the proportion of students who will choose maths as their favourite subject = 0.1

Mathematically, it'll be written as

The null hypothesis is given as

H₀: p = 0.1

And the randomization distribution will be centred at 0.1 too.

The alternative hypothesis will now prove the theory they're looking to see in the question that

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Hope this Helps!!!

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3 years ago
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Answer:

Zero is an integer which is indicated by the symbol 0 in numbers and it is used to indicate that the count of an item when there are non of the item present which is one of the reasons zero along with the fact that it is the number between positive and negative numbers, why it is not associated with a positive or negative sign.

Step-by-step explanation:

A number which is not zero is said to be a non-zero number and the roots of a function is known as the zeros of the function.

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3 years ago
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Katarina [22]

Answer:

D

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because since there is no negative sign in front of the 3x we automatially know there is no reflection so that rules out answers A and B. Then, since 3 is greater than 1 we can determine that it is a stretch which would rule out answer C so the answer is D

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