1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Vikentia [17]
3 years ago
10

Which of the following best explains the value of sinä on the u sual holnw?

Mathematics
1 answer:
kaheart [24]3 years ago
4 0
I think your answer is right
You might be interested in
guse lagrange multipliers to find the maximum or minimum values of the function subject to the given constraint. (if an answer d
Novosadov [1.4K]

Therefore the maximum value of function f(x,y,z)=x^{2} y^{2} z^{2} =1/27

And the minimum value is 0

<h3>What is function?</h3>

function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable) (the dependent variable) (the dependent variable) (the dependent variable). Mathematics uses functions frequently, and functions are essential for specifying physical relationships in the sciences.

Here,

The function is given as:

f(x,y,z)=x^{2} y^{2} z^{2}

x^{2} +y^{2}+ z^{2}=1

=>x^{2} +y^{2}+ z^{2}-1=0

Using Lagrange multiplies, we have:

L(x,y,z,λ)=f(x,y,z) +λ(0)

Substitute f(x,y,z)=x^{2} y^{2} z^{2}  and x^{2} +y^{2}+ z^{2}-1=0

Differentiate

L(x)=2xy^{2} z^{2}+2λx

L(y)=2yx^{2} z^{2}+2λy

L(z)=2zx^{2} y^{2}+2λz

L(λ)=x^{2} +y^{2}+ z^{2}-1

Equating to 0

2xy^{2} z^{2}+2λx =0

2yx^{2} z^{2}+2λy = 0

2zx^{2} y^{2}+2λz = 0

x^{2} +y^{2}+ z^{2}-1 = 0

Factorize the above expressions

2xy^{2} z^{2}+2λx =0

2x(y^{2} z^{2}+λ)=0

2x=0 and (y^{2} z^{2}+λ)=0

x=0 and  y^{2} z^{2}= -λ

2yx^{2} z^{2}+2λy = 0

2y(x^{2} z^{2}+λ)=0

2y=0 and (x^{2} z^{2}+λ)=0

y=0 and  x^{2} z^{2}= -λ

2zx^{2} y^{2}+2λz = 0

2z(y^{2} x^{2}+λ)=0

2z=0 and (x^{2} y^{2}+λ)=0

z=0 and  x^{2} y^{2}= -λ

So we have ,

x=0 and  y^{2} z^{2}= -λ

y=0 and  x^{2} z^{2}= -λ

z=0 and  x^{2} y^{2}= -λ

The above expression becomes

x=y=z=0

This means that,

x^{2} +y^{2}+ z^{2}=1

x^{2} +x^{2}+ x^{2} =1 \\3x^{2 } =1

x= ±1/\sqrt{3}

So,

y= ±1/\sqrt{3}

z= ±1/\sqrt{3}

The critic points are

x=y=z=±1/\sqrt{3}

x=y=z=0

Therefore the maximum value of function f(x,y,z)=x^{2} y^{2} z^{2} =1/27

And the minimum value is 0

To know  more about function , visit

brainly.com/question/12426369

#SPJ4

3 0
1 year ago
How do you put 7:5 in a statement
Evgen [1.6K]
In a survey over whom prefers orange juice and whom prefers milk, 7 kids said they liked orange juice, and 5 chose milk. 

Hope this helped :)
5 0
3 years ago
Read 2 more answers
I got nut in my but just finished giving head locked up with the feds took a lot of meds I gotta go to bed before i cut my dread
Evgen [1.6K]

Answer:

what are you talking about???

Step-by-step explanation:

brainliest and chill bro

5 0
3 years ago
Oliver earns $9 per hour. Write and solve an equation to find how many hours he must work to earn $315
natka813 [3]
Y=9x

315=9x

315/9=x

35=x
7 0
3 years ago
Simplify cos θ sec θ.
cupoosta [38]
Here you go :) ......

4 0
3 years ago
Read 2 more answers
Other questions:
  • What is the surface area means​
    12·2 answers
  • 1. In the diagram below , lines a and b are paraller and cut by traversal, t of angle 3 is 120 degrees, find the measure of angl
    5·1 answer
  • Obin can clean 72rooms in 6 days.<br><br>How many rooms can Robin clean in 9 days
    13·1 answer
  • Which functions are symmetric with respect to the origin?
    10·1 answer
  • HELP! I need the answers before 1Pm today please​
    13·1 answer
  • Angle x measures 42°. Find the measure of angle y.<br><br> 42°<br> 48° <br> 138°<br> 148°
    7·1 answer
  • 2400000 in standard form?
    14·2 answers
  • PLS HELP I DO NOT UNDERSTAND THIS I WILL MARK YOU BRANLIY<br><br> What is the value of (3 × 10^-2)?
    6·2 answers
  • The side length of an equilateral triangle is 6x -12. Write an expression for the perimeter of the triangle.
    7·1 answer
  • Which value is equivalent to Check the picture
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!