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3 years ago

What is the domain of f?

Mathematics

2 answers:

QveST [7]3 years ago

8 0

Step-by-step explanation:

-5<=x<=6

that is the answer

lions [1.4K]3 years ago

4 0

The answer for this question is C

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Find the absolute maximum and minimum values of f(x,y)=xy−4x in the region bounded by the x-axis and the parabola y=16−x2.

skad [1K]

Answer:

The absolute maximum and minimum is $20\; \text{and} -20.$

Step-by-step explanation:

We first check the critical points on the interior of the domain using the

first derivative test.

$f_x=y-4=0$

$f_y=x=0$

The only solution to this system of equations is the point (0, 4), which lies in the domain.

$f_{xx}=0, \;f_{yy}=0\; \text{and}\; f_{xy}=-1$

$\Rightarrow f_{xx}f_{yy}-f_{xy}=o-1=-1$

$\therefore (0,4)$ is a saddle point.

Boundary points - $(4,0), (-4,0), (0,16)$

Along boundary $y=16-x^2$

$f=x(16-x^2)-4x$

$=16x-x^3-4x$

$\Rightarrow f^'=16-3x^2-4=0$

$\Rightarrow 3x^2=12$

$\Rightarrow x=\pm2,\;\;y=14$

Values of f(x) at these points.

$\begin{array}{}(4,0)=-16\\(-4,0)=16\\(0,16)=0\\(2,14)=20\\(-2,14)=-20\end{array}$

Therefore, the absolute maximum and minimum is $20\; \text{and} -20.$

6 0

3 years ago

Which statement is true about the graphs of the two lines y = -5/4x + 2 and y =-5/4 x-1/2 ?

oksian1 [2.3K]

Answer:

They are both parallel lines

Step-by-step explanation:

they both have the slope of -5/4

8 0

4 years ago

The results of an experiment are in the table below. Which statement is true?

timurjin [86]

Answer:

answer is D

Step-by-step explanation:

because to even it out, you would need ore ones to have rolled to make an average

6 0

3 years ago

Read 2 more answers

[Please help] I am very weak at functions, I just need yes's and no's! ;-;

egoroff_w [7]

Answer:

left to right

yes no no no yes yes yes yes yes yes yes no

Step-by-step explanation:

the x values can only have 1 y

Y's can have as many X's

5 0

3 years ago

Look at this graph: What is the slope? Simplify your answer and write it as a proper fraction, improper fraction, or integer.

Mariana [72]

Answer:

7/8

Step-by-step explanation:

3 0

3 years ago