2 years ago

HELPPPP PLSSS I WILL MARK BRAINLYEST

Mathematics

1 answer:

Zina [86]2 years ago

4 0

Answer:

Step-by-step explanation:

hope this helps!!

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Find a potential function for F or determine that F is not conservative. (If F is not conservative, enter NOT CONSERVATIVE.) F =

xxMikexx [17]

For $F$ to be conservative, we need to have

$\dfrac{\partial f}{\partial x}=\cos z$

$\dfrac{\partial f}{\partial y}=10y$

$\dfrac{\partial f}{\partial z}=-x\sin z$

Integrate the first PDE with respect to $x$ :

$\displaystyle\int\frac{\partial f}{\partial x}\,\mathrm dx+\int\cos z\,\mathrm dx\implies f(x,y,z)=x\cos z+g(y,z)$

Differentiate with respect to $y$ :

$\dfrac{\partial f}{\partial y}=10y=\dfrac{\partial g}{\partial y}\implies g(y,z)=5y^2+h(z)$

Now differentiate $f$ with respect to $z$ :

$\dfrac{\partial f}{\partial z}=-x\sin z=-x\sin z+\dfrac{\mathrm dh}{\mathrm dz}\implies\dfrac{\mathrm dh}{\mathrm dz}=0\implies h(z)=C$

So we have

$f(x,y,z)=x\cos z+5y^2+C$

so $F$ is indeed conservative.

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3 years ago

The length of a rectangle is 4 more than its width. The area of the rectangle is 21m^2 . What is the measure of the width?

saw5 [17]

Make the length x+4 and the width x and then make a formula x(x+4)=21
then u ll get x^2+4x-21=0 and then solve for x ..... the width is 3

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2 years ago

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Illusion [34]

Answer:

3:1

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Step-by-step explanation:

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2 years ago

Using Trigonometric ratios, solve the following triangle

weeeeeb [17]

Answer:

54.36

Step-by-step explanation:

Cos $Cos59 = \frac{28}{x} \\x=\frac{28}{cos59} =54.36$

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Molodets [167]

Hello,

The parallelogram is a rectangle and a <span>diamond so a square.

Answer A
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2 years ago

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