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3 years ago

2.

Mathematics

2 answers:

sp2606 [1]3 years ago

8 0

Here’s the answer w steps :)

Dafna1 [17]3 years ago

3 0

Slope (y2-y1)/(x2-x1)
(0-4)/(-5-5) = -4/-10 = 2/5
Y = 2/5x + b
Plug in any point
4 = 2/5(5) + b
4 = 2 + b, b= 2
Final equation: y = 2/5x + 2

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EXAMPLE 5 Find the maximum value of the function f(x, y, z) = x + 2y + 9z on the curve of intersection of the plane x − y + z =

geniusboy [140]

The Lagrangian,

$L(x,y,z,\lambda,\mu)=x+2y+9z-\lambda(x-y+z-1)-\mu(x^2+y^2-1)$

has critical points where its partial derivatives vanish:

$L_x=1-\lambda-2\mu x=0$

$L_y=2+\lambda-2\mu y=0$

$L_z=9-\lambda=0$

$L_\lambda=x-y+z-1=0$

$L_\mu=x^2+y^2-1=0$

$L_z=0$ tells us $\lambda=9$ , so that

$L_x=0\implies-8-2\mu x=0\implies x=-\dfrac4\mu$

$L_y=0\implies11-2\mu y=0\implies y=\dfrac{11}{2\mu}$

Then with $L_\mu=0$ , we get

$x^2+y^2=\dfrac{16}{\mu^2}+\dfrac{121}{4\mu^2}=1\implies\mu=\pm\dfrac{\sqrt{185}}2$

and $L_\lambda=0$ tells us

$x-y+z=-\dfrac4\mu-\dfrac{11}{2\mu}+z=1\implies z=1+\dfrac{19}{2\mu}$

Then there are two critical points, $\left(\pm\frac8{\sqrt{185}},\mp\frac{11}{\sqrt{185}},1\pm\frac{19}{\sqrt{185}}\right)$ . The critical point with the negative $x$ -coordinates gives the maximum value, $9+\sqrt{185}$ .

8 0

4 years ago

The Sun is v kilometers from the upper edge of the Earth's atmosphere and q kilometers from the surface of the Earth.

Neporo4naja [7]

Answer:

q - v

Step-by-step explanation:

v = distance between Sun and atmosphere

q = distance between Sun and surface of Earth

So the distance between the atmosphere and the surface of the earth is the difference between them. Since q > v:

d = q - v

3 0

3 years ago

What is the y-intercept for y = 3x2 + 2x - 5 ?

oee [108]

Answer:

y-intercept- (0,-5)

x-intercept ( 1 , 0 ) , ( − $\frac{5}{3}$ ,0)

Step-by-step explanation:

y-intercept- (0,-5)

x-intercept ( 1 , 0 ) , ( − $\frac{5}{3}$ ,0)

4 0

3 years ago

Read 2 more answers

WILL MARK BRAINLY! Either Table Q or Table V shows a proportional relationship.

spin [16.1K]

<h2><u>PLEASE MARK BRAINLIEST!</u></h2>

Answer:

Let's figure this out!

Step-by-step explanation:

<h3>Table Q:</h3>

x −2 −1 0 1 --> the pattern is +1

y 3 4 0 6 --> the pattern is unidentifiable

x −2 −1 0 1 --> the pattern between these two rows is +5. This is

y 3 4 0 6 because, -2 (+5) = 3, -1 (+5) = 4, and so on

<h3>Table V:</h3>

x −1 0 1 2 --> the pattern is +1

y −4 0 4 8 --> the pattern is +4

x −1 0 1 2 --> there is no pattern that can be determined.

y −4 0 4 8

NOTE: THE FOLLOWING ANSWER IS A GUESS. I AM NOT COMPLETELY SURE OF MY ANSWERS BECAUSE NOT MUCH INFORMATION IS GIVEN.

Table Q: (1, 5)

Table V: (1, 4)

<em>I hope this helps!</em>

6 0

3 years ago

A brick wall will be shaped like a rectangular prism. The wall needs to be 3 feet tall, and the builders have enough bricks for

Elina [12.6K]

Answer:

6 ft

Step-by-step explanation:

1 x 5 x 3 x3 x 3x 3 x 3 x3 x 3 x 3 x3x 3x 3x

i hope it help

6 0

3 years ago