3 years ago

Which of the following is equivalent to?

Mathematics

1 answer:

horsena [70]3 years ago

3 0

Answer:

Answer is 1/6

Step-by-step explanation:

${36}^{ - \frac{1}{2} } \\ = \frac{1}{ {36}^{ \frac{1}{2} } } \\ \\ = \frac{1}{ \sqrt{36} } \\ \\ = \frac{1}{6}$

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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

Witch of the following is closest to 27.8 X 9.6 is it 280, 2800, 300, or 3000

HACTEHA [7]

The Answer Is 280.. Hope This Helps

8 0

4 years ago

Read 2 more answers

2 + 2 +2+6+5+6+6+7655566656655555565868675364363623737384949498484848448383838838337, 784484848484847488448585858585858585858585

agasfer [191]

bro what kinda mf question is this

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3 years ago

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GIVING BRAINLIEST!!!!!!! 21+3+(8-2+2) SHOW UR WORK PLSSS

oee [108]

Answer:

21+3=24, 24+8=32

Step-by-step explanation:

32 is the answer

5 0

3 years ago

Which equation gives the system an infinite number of solutions -x+2y=16

yulyashka [42]

I think the answer is letter c

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3 years ago