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3 years ago

1 + 3x² - 8x / 3x + 32x

Mathematics

1 answer:

Nonamiya [84]3 years ago

4 0

Answer:

1 + 1/3 -8 x/3 x+32x

Step-by-step explanation:

See the steps below:)

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Find the differential of the function w=xsin(2yz^4).

SCORPION-xisa [38]

The differential of

$w = x \sin(2yz^4)$

$\mathrm dw = \dfrac{\partial w}{\partial x}\,\mathrm dx + \dfrac{\partial w}{\partial y}\,\mathrm dy + \dfrac{\partial w}{\partial z}\,\mathrm dz$

where the partial derivatives are

$\dfrac{\partial w}{\partial x} = \sin(2yz^4) \\\\ \dfrac{\partial w}{\partial y} = x \cos(2yz^4) \times 2z^4 = 2xz^4 \cos(2yz^4) \\\\ \dfrac{\partial w}{\partial z} = x \cos(2yz^4) \times 8yz^3 = 8xyz^3 \cos(2yz^4)$

So the differential d<em>w</em> is

$\mathrm dw = \boxed{\sin(2yz^4)}\,\mathrm dx + \boxed{2xz^4 \cos(2yz^4)}\,\mathrm dy + \boxed{8xyz^3 \cos(2yz^4)}\,\mathrm dz$

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3 years ago

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kvasek [131]

Answer:

Step-by-step explanation:

The quotient is the value obtained by dividing 30 by 5 , that is

quotient = 30 ÷ 5 = 6 → B

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2 years ago

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1 + 3x² - 8x / 3x + 32x​

1 + 3x² - 8x / 3x + 32x