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3 years ago

WHO EVER ANSWERS FIRST GETS BRAINLIEST

Mathematics

1 answer:

Neko [114]3 years ago

6 0

Answer:

-x - 3 < 13 + 3x

+3 +3

-x < 16 + 3x

-3x - 3x

-4x < 16

-4 -4

x > -4

2. -4x - 3 <13

+3 +3

-4x < 16

-4 -4

x > -4

3. 2x - 3 < 13

2x -3+3 < 13+3

2x < 16

2 2

x < 8

4. -4x - 3 > 13

-4x -3+3 > 13+3

-4x > 16

-4 -4

x < -4

5. 2x - 3 > 13

2x -3+3 > 13+3

2x > 16

2 2

x > 8

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xxTIMURxx [149]

First, rewrite the equation so that y is a function of x :

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$\displaystyle \int_1^8 \sqrt{1 + \left(\frac{\mathrm dy}{\mathrm dx}\right)^2}\,\mathrm dx$

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$y = x^{2/3} \implies \dfrac{\mathrm dy}{\mathrm dx} = \dfrac23x^{-1/3} \implies \left(\dfrac{\mathrm dy}{\mathrm dx}\right)^2 = \dfrac49x^{-2/3}$

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$\displaystyle \frac49 \int_{13/4}^{10} \sqrt{u}\,\mathrm du$

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$\displaystyle \frac8{27} \left(10\sqrt{10} - \frac{13\sqrt{13}}8\right) = \boxed{\frac{80\sqrt{10}-13\sqrt{13}}{27}}$

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