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3241004551 [841]
3 years ago
11

PLEASE HELP How far is x from 5 on a number line?

Mathematics
1 answer:
Digiron [165]3 years ago
3 0

Answer:

Depends on what x is

Step-by-step explanation:

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Find the general solution to 3y′′+12y=0. Give your answer as y=... . In your answer, use c1 and c2 to denote arbitrary constants
lozanna [386]

Answer:

y(x)=c_1e^{2ix}+c_2e^{-2ix}

Step-by-step explanation:

You have the following differential equation:

3y''+12y=0     (1)

In order to find the solution to the equation, you can use the method of the characteristic polynomial.

The characteristic polynomial of the given differential equation is:

3m^2+12=0\\\\m^2=-\frac{12}{3}=-4\\\\m_{1,2}=\pm2\sqrt{-1}=\pm2i

The solution of the differential equation is:

y(x)=c_1e^{m_1x}+c_2e^{m_2x}   (2)

where m1 and m2 are the roots of the characteristic polynomial.

You replace the values obtained for m1 and m2 in the equation (2). Then, the solution to the differential equation is:

y(x)=c_1e^{2ix}+c_2e^{-2ix}

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Point (-4,-8) Reflected across the x-axis
kkurt [141]

Answer:

(-4 , 8)

Step-by-step explanation:

The x-axis is the horizontal line. In this case, if you are reflecting over the x-axis, you are flipping the sign of the y-coordinate.

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In this case, reflect across the x-axis. Flip the sign of the y: (x , y)

(-4 , -8) reflected over the x-axis is (-4 , 8).

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