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3 years ago

12

What is the arithmetic mean of 4,9,6,3,4,2?

1 answer:

Alexxx [7]3 years ago

4 0

Add of the numbers to together, which gives you 28 and divide by 7 which makes the arithmetic mean = 4

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For each of the following vector fields

olga nikolaevna [1]

(A)

$\dfrac{\partial f}{\partial x}=-16x+2y$

$\implies f(x,y)=-8x^2+2xy+g(y)$

$\implies\dfrac{\partial f}{\partial y}=2x+\dfrac{\mathrm dg}{\mathrm dy}=2x+10y$

$\implies\dfrac{\mathrm dg}{\mathrm dy}=10y$

$\implies g(y)=5y^2+C$

$\implies f(x,y)=\boxed{-8x^2+2xy+5y^2+C}$

(B)

$\dfrac{\partial f}{\partial x}=-8y$

$\implies f(x,y)=-8xy+g(y)$

$\implies\dfrac{\partial f}{\partial y}=-8x+\dfrac{\mathrm dg}{\mathrm dy}=-7x$

$\implies \dfrac{\mathrm dg}{\mathrm dy}=x$

But we assume $g(y)$ is a function of $y$ alone, so there is not potential function here.

(C)

$\dfrac{\partial f}{\partial x}=-8\sin y$

$\implies f(x,y)=-8x\sin y+g(x,y)$

$\implies\dfrac{\partial f}{\partial y}=-8x\cos y+\dfrac{\mathrm dg}{\mathrm dy}=4y-8x\cos y$

$\implies\dfrac{\mathrm dg}{\mathrm dy}=4y$

$\implies g(y)=2y^2+C$

$\implies f(x,y)=\boxed{-8x\sin y+2y^2+C}$

For (A) and (C), we have $f(0,0)=0$ , which makes $C=0$ for both.

4 0

3 years ago

If the point (x,square root 3/2) is on the unit circle, what. is x?

galina1969 [7]

Answer:

$x=\pm\frac{1}{2}$

Step-by-step explanation:

On a unit circle, $(x,y)=(\cos\theta,\sin\theta)$ , so $\sin\theta=\frac{\sqrt{3}}{2}$ in this case. If you look at the attached circle, the only time that the y-coordinate is $\frac{\sqrt{3}}{2}$ is when $x=-\frac{1}{2}$ and $x=\frac{1}{2}$ , which correspond to angles of $\theta=\frac{2\pi}{3}$ and $\theta=\frac{\pi}{3}$ respectively

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2 years ago

A bat and ball cost $1.10<br> If the bat costs $1 more than the ball then what does the ball cost?

SashulF [63]

The ball costs .10 cents

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3 years ago

Read 2 more answers

True or False <br><br> If AM≅MB, then M must be the midpoint of AB

Juli2301 [7.4K]

Answer:

True

Step-by-step explanation:

is true bro yes is true

6 0

2 years ago

Please answer this question!! 30 points and brainliest!

Anarel [89]

Answer:B

Step-by-step explanation:

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3 years ago