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2 years ago

Put 9, -7, and -8 in order from least to greatest. You can use the number line to help. 9 -10 -8 -7 -6 -8 -4 -2 0 2 4 6 8 10

Mathematics

1 answer:

boyakko [2]2 years ago

8 0

-8, -7, 9

Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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3 years ago

Find gradient xe^y + 4 ln y = x² at (1, 1)

cricket20 [7]

$xe^y+4\ln y=x^2$

Differentiate both sides with respect to x, assuming y = y(x).

$\dfrac{\mathrm d(xe^y+4\ln y)}{\mathrm dx}=\dfrac{\mathrm d(x^2)}{\mathrm dx}$

$\dfrac{\mathrm d(xe^y)}{\mathrm dx}+\dfrac{\mathrm d(4\ln y)}{\mathrm dx}=2x$

$\dfrac{\mathrm d(x)}{\mathrm dx}e^y+x\dfrac{\mathrm d(e^y)}{\mathrm dx}+\dfrac4y\dfrac{\mathrm dy}{\mathrm dx}=2x$

$e^y+xe^y\dfrac{\mathrm dy}{\mathrm dx}+\dfrac4y\dfrac{\mathrm dy}{\mathrm dx}=2x$

Solve for dy/dx :

$e^y+\left(xe^y+\dfrac4y\right)\dfrac{\mathrm dy}{\mathrm dx}=2x$

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If y ≠ 0, we can write

$\dfrac{\mathrm dy}{\mathrm dx}=\dfrac{2xy-ye^y}{xye^y+4}$

At the point (1, 1), the derivative is

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Put 9, -7, and -8 in order from least to greatest. You can use the number line to help. 9 -10 -8 -7 -6 -8 -4 -2 0 2 4 6 8 10​

Put 9, -7, and -8 in order from least to greatest. You can use the number line to help. 9 -10 -8 -7 -6 -8 -4 -2 0 2 4 6 8 10