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3 years ago

Someone plss help ehgfsbehgbake

Mathematics

2 answers:

arsen [322]3 years ago

6 0

Answer:

letter B

Step-by-step explanation:

I researched on it just download Math Papa app, your answers are always there.

Semmy [17]3 years ago

5 0

The answer is the letter b

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The plane x + y + 2z = 12 intersects the paraboloid z = x2 + y2 in an ellipse. Find the points on the ellipse that are nearest t

Soloha48 [4]

The distance between a point $(x,y,z)$ and the origin is $\sqrt{x^2+y^2+z^2}$ . But since $(\sqrt{f(x)})'=\frac{f'(x)}{2\sqrt{f(x)}}$ , both $f(x)$ and $\sqrt{f(x)}$ have the same critical points, so we can consider instead the squared distance, $x^2+y^2+z^2$ .

We're looking for the extrema of $x^2+y^2+z^2$ subject to $x+y+2z=12$ and $z=x^2+y^2$ . The Lagrangian is

$L(x,y,z,\lambda,\mu)=x^2+y^2+z^2+\lambda(x+y+2z-12)+\mu(z-x^2-y^2)$

with critical points where the partial derivatives vanish:

$L_x=2x+\lambda-2\mu x=0\implies\lambda=2x(\mu-1)$

$L_y=2y+\lambda-2\mu y=0\implies\lambda=2y(\mu-1)$

$L_z=2z+2\lambda+\mu=0$

$L_\lambda=x+y+2z-12=0$

$L_\mu=z-x^2-y^2=0$

From the first two equations, it follows that $x=y$ .

Then in the last two equations,

$x+y+2z-12=0\implies x+z=6$

$z-x^2-y^2=0\implies z=2x^2$

$\implies x+2x^2=6\implies2x^2+x-6=(2x-3)(x+2)=0\implies x=\dfrac32\text{ or }x=-2$

If $x=\frac32$ , then $z=6-\frac32=\frac92$ ; if $x=-2$ , then $z=8$ .

So there are two critical points, $\left(\frac32,\frac32,\frac92\right)$ and $(-2,-2,8)$ .

Let $f(x,y,z)=\sqrt{x^2+y^2+z^2}$ . We have a minimum distance of $f\left(\frac32,\frac32,\frac92\right)=\boxed{\frac{3\sqrt{11}}2}$ and maximum distance of $f(-2,-2,8)=\boxed{6\sqrt2}$ .

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4 years ago

What are the three products of celullar respiration

Viktor [21]

Answer:

Cellular respiration is this process in which oxygen and glucose are used to create ATP, carbon dioxide, and water. ATP, carbon dioxide, and water are all products of this process because they are what is created.

Step-by-step explanation:

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3 years ago

Solve the equation.

maksim [4K]

Answer:

x=-1

Step-by-step explanation:

3x+12-8x=19+2x (combine liked terms)

-5x+12+19=2x (move variable to the left-hand side and change its sign)

-5x-2x+12=19 (combine liked terms)

-7x=19-12 (divide both sides of the equation by -7)

x=-1

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3 years ago

PLEASE HELP!!!!! OVER DUE!! 100 POINTS!

serious [3.7K]

Answer:

2u-1/3v = (4, -2)

Step-by-step explanation:

Given vector u and v,

v = (-6, -6)

u = (1, -2)

2*u = (2*1, -2*2) = (2, -4)

1/3*v = (1/3*-6, 1/3*-6) = (-2, -2)

So, 2u = (2, -4) and 1/3*v = (-2, -2)

We have 2u-1/3v = (2, -4) - (-2, -2) = (4, -2)

Therefore, 2u-1/3v = (4, -2)

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Nastasia [14]

Vertical line, no slope, the equation isn't y = <something>. So it's

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4 years ago