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insens350 [35]
2 years ago
10

Question:

Mathematics
1 answer:
aleksandrvk [35]2 years ago
6 0

Answer:

Step-by-step explanation:

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Step-by-step explanation:

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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}

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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

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now, we can set them equal

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3 years ago
Fill in the blank: A piecewise function uses different rules for different intervals of the _________.
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<span>A piecewise function uses different rules for different intervals of the DOMAIN</span>
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Find the value of x and the measure of each labeled angle. (8x - 20ºX (5x + 37)​
11111nata11111 [884]

According to above figure, the angles (8x - 20)° and (5x + 37)° are pairs of vertical opposite angles, so

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  • 8x - 5x = 37 + 20

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2 years ago
Review the attachments. Review the process of solving an equation and fill in the blanks.
Nezavi [6.7K]

Answer:

1) Combine like terms

2) \sqrt[3]{x} =3

3) cube both sides of the equation

4) 4\sqrt[3]{27} +8\sqrt[3]{27}=36

5) 4(3) + 8(3) = 36

Step-by-step explanation:

1) Combine like terms

2) \sqrt[3]{x} =3

3) cube both sides of the equation

4) 4\sqrt[3]{27} +8\sqrt[3]{27}=36

5) 4(3) + 8(3) = 36

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