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2 years ago

14

Which graph represents this system? y=1/2x+3 y=3/2x-1

1 answer:

Zigmanuir [339]2 years ago

7 0

It’s neither of the graphs that are showed in the photo

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Let y′′′−9y′′+20y′=0. find all values of r such that y=erx satisfies the differential equation. if there is more than one correc

DerKrebs [107]

we are given

differential equation as

$y'''-9y''+20y'=0$

we are given

$y=e^{rx}$

Firstly, we will find y' , y'' and y'''

those are first , second and third derivative

First derivative is

$y'=re^{rx}$

Second derivative is

$y''=r*re^{rx}$

$y''=r^2e^{rx}$

Third derivative is

$y'''=r^2*re^{rx}$

$y'''=r^3e^{rx}$

now, we can plug these values into differential equation

and we get

$r^3 e^{rx}-9r^2 e^{rx}+20re^{rx}=0$

now, we can factor out common terms

$e^{rx}(r^3 -9r^2 +20r)=0$

we can move that term on right side

$(r^3 -9r^2 +20r)=0$

now, we can factor out

$r(r^2 -9r +20)=0$

$r(r-5)(r-4)=0$

now, we can set them equal

$r=0$

$r-5=0$

$r=5$

$r-4=0$

$r=4$

so, we will get

$r=0,4,5$ ...............Answer

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3 years ago

The sum of the areas of the two circles is 80 pi square meters. Find the length of a radius of each circle of one of them is twi

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The radius of both circles are 4m and 8m.

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3 years ago

Find the sequence of -1, 1, __, 5, __

marin [14]

The missing numbers are 3, and 7
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White raven [17]

Step-by-step explanation:

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Colt1911 [192]

B hope it helps you

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