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Nady [450]
3 years ago
14

Write a compound inequality that the graph could represent.

Mathematics
1 answer:
Ilia_Sergeevich [38]3 years ago
5 0
The solution includes -1, but does not include +3. The inequality can be written as
  -1 ≤ x < 3
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Suppose . has 4 critical points. List them in increasing lexographic order. By that we mean that (x, y) comes before (z, w) if o
V125BC [204]

The points are (0,0) Minimum and (1/6, 1/18) is the saddle point.

What is the saddle point?

  • A saddle point, also known as a minimax point, is a place on the surface of a function's graph where the slopes in orthogonal directions are all zero but the function does not have a local extremum.

To solve the question we have:

f(x,y) = xy(1-2x-6y)

Therefore, f(x,y) = xy-2x²y-6xy²

Finding the partial derivative of the above gives:

fₓ = y - 4xy-6y²

= x - 2x²-12xy

Therefore, when the above equations are set to 0 we get:

y - 4xy-6y² = 0.......(1)

x - 2x²-12xy  = 0......(2)

Dividing equations (1) and (2) by y and x respectively give:

1 - 4x - 6y = 0

1 - 2x - 12y = 0  

Solving gives:

x = 0.167 = 1/6

y = 0.056 = 1/18

When we place x in equation (1) we have:

y - 4(1/6)y-6y² = 0

y = 0 or y = 1/18

Similarly, x = 0 or 1/6

Therefore, the four critical points are:

(0,0) (1/6,1/18)

When x = 0 and y = 0

f(x,y) = 0 Hence this is a minimum

When x = 1/6 and y = 1/18

f (x,y) = 1/324 Which is a saddle point.

Therefore, the points are (0,0) Minimum, and (1/6, 1/18) is the saddle point.

Know more about saddle point here:

brainly.com/question/17465347

#SPJ4

The question you are looking for is here:

(1 point) The function f(x,y)=xy(1−2x−6y) has 4 critical points. List them and select the type of critical point. Points should be entered as ordered pairs and listed in increasing lexicographic order. By that, we mean that (x,y) comes before (z,w) if x

4 0
2 years ago
How to slove 4x+15=-4x+10
insens350 [35]
The 4x's get eliminated because they are opposite. So just add 10+15= 25
6 0
3 years ago
Read 2 more answers
Divide:<br> (m+14m+31)/(m+10)
Anastasy [175]

Answer:

( 15m + 31 ) / ( m + 10 )

Step-by-step explanation:

add like terms

m + 14m = 15m

( 15m + 31 ) / ( m + 10 )

5 0
2 years ago
There is a paper cup and a plastic cup on a desk if the total capacity of 9 such paper cups and 2 such plastic cups is 350 ml, a
Sati [7]

Answer:

LAMAIALOEBDPQBXOWOXNWKXBW

LWMD

<h2>ANSWER FAILURE</h2>

4 0
2 years ago
What two positive real numbers whose product is 50 have the smallest possible sum?
Llana [10]
X * y = 50
y = 50 / x
S = x + y = x + 50 / x
S` = 1 - 50 / x²
1 - 50 / x² = 0
50 / x² = 1
x² = 50
x = √ 50 = 5 √2
y = 50 / 5√2 = 5 √2
Answer:
Those numbers are: x = 5√2 and y = 5√2.
7 0
3 years ago
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