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ANTONII [103]
3 years ago
14

Consider the differential equation: dy/dx = (y-2)(x^2+1)

Mathematics
1 answer:
Klio2033 [76]3 years ago
3 0

Answer:

6

Step-by-step explanation:

Given,

\dfrac{dy}{dx}=(y-2)(x^2+1) ...(i)

Differentiating w.r. to x.

\dfrac{d^2y}{dx^2}= (y-2)(2x)+ (x^2+1)\dfrac{dy}{dx}

From equation (1)

\dfrac{d^2y}{dx^2}= (y-2)(2x)+ (x^2+1)^2(y-2)

Now, at the point (1,3)

\dfrac{d^2y}{dx^2}= (3-2)(2\times 1)+ (1^2+1)^2(3-2)

\dfrac{d^2y}{dx^2}=6

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What are the zeros of f(x)=x^2-12+36
DochEvi [55]

Answer:

x = 6

Step-by-step explanation:

I think it's supposed to be

y = x² - 12x + 36

Set the equation equal to zero and solve...

0 = x² - 12x + 36

Now factor.  What 2 numbers add to -12, and multiply to 36?

-6 and -6, so our factors are

0 = (x - 6)(x - 6)

So

0 = x - 6, then

6 = x

3 0
2 years ago
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Answer:

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3 years ago
Omari and his two cousins received the same amount of money to go to the movies. Each boy spent $15. Afterward, the boys had $30
Jlenok [28]

Answer:

Each boy recieved $25.25 each

Step-by-step explanation:

First, you add up all the money the 3 boys spent.

15+15+15=45

Then you add the sum of the equation to the amount all the boys had afterward.

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Finally, you divide that product to 3 boys.

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Therfore the answer is $25.25 each.      

6 0
3 years ago
A bookstore had 81 copies of a magazine. Yesterday the bookstore sold
olga2289 [7]

Answer:

The question is unclear, but if the book store sold 9 copies total, they sold 2 yesterday.

Step-by-step explanation:

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3 years ago
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yanalaym [24]

Answer:

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Step-by-step explanation:

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