2 years ago

Which of the following best describes the slope of the line below?

Mathematics

1 answer:

NeX [460]2 years ago

4 0

Answer:

It would be negative

Explanation:

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Separating variables, we have

$\dfrac{dy}{dx} = \dfrac xy \implies y\,dy = x\,dx$

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$\displaystyle \int y\,dy = \int x\,dx$

$\dfrac12 y^2 = \dfrac12 x^2 + C$

Given that $y(0)=-1$ , we find

$\dfrac12 (-1)^2 = \dfrac12 0^2 + C \implies C = \dfrac12$

Then the particular solution is

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$y^2 = x^2 + 1$

$y = \pm\sqrt{x^2 + 1}$

and because $y(0)=-1$ , we take the negative solution to accommodate this initial value.

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Step-by-step explanation:

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3 years ago

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bearhunter [10]

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3 years ago

What is the prime factorization of 125

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Step-by-step explanation:

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