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rewona [7]
3 years ago
5

(−4)−(−2)–{(−5)–[(−7)+(−3)–(−8)]}

Mathematics
1 answer:
garik1379 [7]3 years ago
7 0

Answer:

1

Step-by-step explanation:

(−4)−(−2)–{(−5)–[(−7)+(−3)–(−8)]}

-4 + 2 - {-5 - [-7 - 3 + 8]}

-2 - [-5 + 7 + 3 - 8]

-2 - (-3)

-2 + 3

1

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Last year the amount of taxes was x, an unknown amount. That was 100% of last year's tax cost.

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Find all the solutions for the equation:
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2y^2\,\mathrm dx-(x+y)^2\,\mathrm dy=0

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2\left(\dfrac yx\right)^2-\left(1+\dfrac yx\right)^2\dfrac{\mathrm dy}{\mathrm dx}=0

\dfrac{\mathrm dy}{\mathrm dx}=\dfrac{2\left(\frac yx\right)^2}{\left(1+\frac yx\right)^2}

Substitute v(x)=\dfrac{y(x)}x, so that \dfrac{\mathrm dv(x)}{\mathrm dx}=\dfrac{x\frac{\mathrm dy(x)}{\mathrm dx}-y(x)}{x^2}. Then

x\dfrac{\mathrm dv}{\mathrm dx}+v=\dfrac{2v^2}{(1+v)^2}

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x\dfrac{\mathrm dv}{\mathrm dx}=-\dfrac{v(1+v^2)}{(1+v)^2}

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\boxed{\ln|y(x)|+2\tan^{-1}\dfrac{y(x)}x=C}

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