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3 years ago

Please help... what is the domain of this graph?

Mathematics

1 answer:

k0ka [10]3 years ago

5 0

Answer:-8,4 is ur answer

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Pls im going to fail pls help me

elixir [45]

Answer:

what do you need help with?

4 0

2 years ago

(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

Which of the following best describes the technique used to graph the equation y = 5x + 10using the slope and y-intercept?

nikdorinn [45]

The last one. Mark a point at 10 on the y-axis, go up 5 and right one and mark this point.

7 0

3 years ago

olivia goes to egypt and saw a model of a pyramid. She enlarged it using a scale factor of 1.2. What will be the perimeter and a

DIA [1.3K]

Olivia applied the scale factor to the measurements of the model she saw. We need to know those in order to calculate the new ones.

8 0

3 years ago

Explain<br> how u subtract 247 from 538

VashaNatasha [74]

247- 538 = -291
If you line them up in that order 247 you'll have to borrow. Your answer would be -291
-538

The only way to not get -291 is to flip the two numbers.

6 0

3 years ago

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