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3 years ago

According to the distributive property, 6 (5 + 3) =

Mathematics

2 answers:

irakobra [83]3 years ago

8 0

According to the equation .
It is letter 'D'

ziro4ka [17]3 years ago

4 0

It should be letter *D*

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(a)5%)Let fx, y) = x^4 + y^4 - 4xy + 1. and classify each critical point Find all critical points of fx,y) as a local minimum, l

lara31 [8.8K]

$f(x,y)=x^4+y^4-4xy+1$

has critical points wherever the partial derivatives vanish:

$f_x=4x^3-4y=0\implies x^3=y$

$f_y=4y^3-4x=0\implies y^3=x$

Then

$x^3=y\implies x^9=x\implies x(x^8-1)=0\implies x=0\text{ or }x=\pm1$

If $x=0$ , then $y=0$ ; critical point at (0, 0)
If $x=1$ , then $y=1$ ; critical point at (1, 1)
If $x=-1$ , then $y=-1$ ; critical point at (-1, -1)

$f(x,y)$ has Hessian matrix

$H(x,y)=\begin{bmatrix}12x^2&-4\\-4&12y^2\end{bmatrix}$

with determinant

$\det H(x,y)=144x^2y^2-16$

At (0, 0), the Hessian determinant is -16, which indicates a saddle point.
At (1, 1), the determinant is 128, and $f_{xx}(1,1)=12$ , which indicates a local minimum.
At (-1, -1), the determinant is again 128, and $f_{xx}(-1,-1)=12$ , which indicates another local minimum.

4 0

3 years ago

Can someone please help me if possible Thank you ❤

uysha [10]

I think it's b ... :0

6 0

3 years ago

What is 4/11 simplified

Marat540 [252]

Answer:

4/11 is already simplified as much as it can be in fraction form. as a percent its 36.3636%

Step-by-step explanation:

8 0

3 years ago

A room covers 299.6 square feet. A painter paints the room in three days. The first day he covers 2/7 of the area. The next day

Trava [24]

Answer:

On day the he covers 128.4 ft²

Step-by-step explanation:

Lets first figure out how much he has done so far

To figure out how much he does we can use a proportion

Set up a proportion for first day

2/7 = x/299.6

Solve the proportion

2×299.6÷7 = 599.2/7 = x

x = 85.6

He covered 85.6 sq/ft on day 1

Find day two

85.6 * 2 = 171.2

Find how much is left to do on day 3

299.6-171.2 = 128.4 ft²

4 0

3 years ago

Read 2 more answers

Calculate the highest common fac for it to the following 4 45, 6 o and is

kow [346]

Answer:

The greatest common factor is 1

Step-by-step explanation:

The factors of 4 are: 1, 2, 4

The factors of 6 are: 1, 2, 3, 6

The factors of 45 are: 1, 3, 5, 9, 15, 45

Then the greatest common factor is 1.

4 0

2 years ago