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3 years ago

8

Urgent! Thankyou!! Extra points! 1. Create a rational expression that will be undefined at x=1

1 answer:

Helen [10]3 years ago

6 0

Hello from MrBillDoesMath!

Answer:

1/ (1-x)

Discussion:

Two examples come to mind:

1/ (1-x)

or

1/( 1-x) ^ n n = 1 ,2 3,....

Thank you,

MrB

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Solve 2y - 5 over 3 = 4y - 1 over 2

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

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3 years ago

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klio [65]

Answer:

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Step-by-step explanation:

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2 years ago