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3 years ago

How do I do this? I need help!

Mathematics

1 answer:

Galina-37 [17]3 years ago

3 0

Y=12
x=6

The triangle is a 30-60-90 triangle!

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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

Can you help me please I don't understand.

Dimas [21]

B. A and b parrel never touch

C. 44

D.136

E.44

Hope this helps a little

8 0

3 years ago

What is the square root of 74

laiz [17]

Answer:

8.602325

Simplified: 8.6

4 0

3 years ago

Find the principle fourth root of -81, checking your answer by raising to the 4th power. If there are "no real roots," then type

kondaur [170]

Answer:

None

Step-by-step explanation:

There are actually 2 answers, 3 and -3. Although if you put it in a calculator, it would show "math error" or undefined. That's because the index is even (4) and the radicand is negative (-81)

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4 years ago

What is the first operation used to evaluate 5+7•6-2÷4

Kisachek [45]

Multiply 7x6 since when using pemdas, multiplication and division can be inverted, i.e. if multiplication is before division then you multiply and vice versa.

Hope this helps!

3 0

3 years ago