3 years ago

PLSS I NEED HELPPP .

Mathematics

1 answer:

Sidana [21]3 years ago

5 0

Answer:

yes

Step-by-step explanation:

...........................

You might be interested in

Example 3 find the local maximum and minimum values and saddle points of f(x, y) = x4 + y4 − 4xy + 1. solution we first locate t

allsm [11]

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

$\begin{cases}f_x=4x^3-4y\\f_y=4y^3-4x\end{cases}$

We have critical points whenever both partial derivatives vanish:

$4x^3-4y=0\implies x^3=y\implies x=y^{1/3}$
$4y^3-4x=0\implies y^3=x=y^{1/3}\implies y^6=y\implies y=0,y=-1,y=1$
$\begin{cases}y=0\implies x=0\\y=-1\implies x=-1\\y=1\implies x=1\end{cases}$

The Hessian is

$\mathbf H(x,y)=\begin{bmatrix}f_{xx}&f_{xy}\\f_{yx}&f_{yy}\end{bmatrix}=\begin{bmatrix}12x^2&-4\\-4&12y^2\end{bmatrix}$
$\det\mathbf H(x,y)=(12xy)^2-16$

At (0,0), we have $\det\mathbf H(0,0)=-16$ , so (0,0) is a saddle point.

At (-1, -1), we have $\det\mathbf H(-1,-1)=128>0$ and $f_{xx}(-1,-1)=12>0$ , so (-1, -1) is a local minimum.

At (1, 1), we have $\det\mathbf H(1,1)=128>0$ and $f_{xx}(1,1)=12>0$ , so (1, 1) is also a local minimum.

3 0

3 years ago

If 40% of Jeanne's friends play kickball on weekends, what fraction of her friends don't play kickball?

Blababa [14]

Answer:

3/5

Step-by-step explanation:

40% play kickball on weekends which would be 40/100=2/5, and the other 60% are the ones who don't play kickball so 60/100=6/10=3/5.

7 0

4 years ago

Read 2 more answers

Solve the following equation when x=2 and y=4 <br> 3x+2y+4=

blagie [28]

Answer:

Step-by-step explanation:

plug in

4 0

3 years ago

Read 2 more answers

You have a pan with a radius of 16 centimeters. if the cooking instructions say to cover the entire bottom of the pan with butte

Leno4ka [110]

Radius of the pan = 16cm

Formula for area of circle:

$\boxed { \boxed { \text {Area of a circle =} \pi r^2}}$

Find the area of the pan:

$\text {Area of the pan =} \pi (16)^2 = 804.25 \ cm^2$

$\boxed { \boxed {\text {Answer : The butter must cover 804.25 cm}^2}}$

4 0

4 years ago

We’re almost done people!✨✨✨ also don’t make fun of what I listen to please ;-;

inessss [21]

Answer:

Its option b) and d) any one of them

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers