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2 years ago

What is 38,802,500 written as a product of a single digit and a power of ten

Mathematics

1 answer:

-BARSIC- [3]2 years ago

5 0

Answer:

3.88025 x $10^{}$

Step-by-step explanation:

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10 months ago

What value for c will make the expression a perfect square trinomial? X^2-7x+c

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2 years ago

Which method is used in elimination to find the solutions of x + 3y = 9 and x - 3y = 8?

weqwewe [10]

Answer:

x=17/2 y=1/6

Step-by-step explanation:

-1(x+3y=9)

1(x-3y=8)

_________

-x-3y=-9

x-3y=8

________

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2 years ago

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

2 years ago