3 years ago

Adding and subtracing linear wxpressions 12(−4x+8)−14(8x−12)

Mathematics

1 answer:

Delicious77 [7]3 years ago

3 0

Answer:

-160x+264

Step-by-step explanation:

-48+96x-112x+168

-160+264

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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 $20\; \text{and} -20.$

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3 years ago

Subtract 2x^2+6x-5from7x^2+3x+4

Gnom [1K]

-5^2+9x-9 (need more space to answer)

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3 years ago

!! PLEASE HELP!! WILL GIVE U BRAINLYEST!! Write an example of a real world situation using either the diameter of a circle, the

Alborosie

Answer:

Calculation of the distance of a wheel passed.

Step-by-step explanation:

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2 years ago

Lim. √2x -√3x-a/√x-√a<br>x approaches a

Ludmilka [50]

Answer: $\sqrt{2}a-\sqrt{3}a-2\sqrt{a}$

Step-by-step explanation:

$\lim _{x\to \:a}\left(\sqrt{2}x-\sqrt{3}x-\frac{a}{\sqrt{x}}-\sqrt{a}\right)$

$=\sqrt{2}a-\sqrt{3}a-\frac{a}{\sqrt{a}}-\sqrt{a}$

$=\sqrt{2}a-\sqrt{3}a-2\sqrt{a}$

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3 years ago

Rewrite the fraction in the sentence below as a percentage. In 2002, a popular company made 11/20 of its money online.

Vladimir79 [104]

Answer:

55%

Step-by-step explanation:

11/20 = 0.55

0.55 = 55%

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2 years ago