3 years ago

52/30 simplified to lowest point

Mathematics

1 answer:

kumpel [21]3 years ago

8 0

26/ 15 but make it into a mixed number you can do it!

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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

4 0

3 years ago

HELP<br> Find the area of the polygon with the vertices of A(2,2), B(2,7), C(8,7),and D(4,2)

Illusion [34]

I think it would be 36 it’s what my friend told me I’m not sure though sorry if it’s wrong.

8 0

3 years ago

Were there more people that were under 20 or 20 and over ?<br> A.under 20 <br> B.20 and over

frutty [35]

The answer would be B

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3 years ago

Read 2 more answers

28. Daniel uses 18 pints of water to fill 8 bottles. He

nekit [7.7K]

Answer:

Step-by-step explanation:

to find the answer to this you sould divide the amount of pints by the number of bottles

18/8

which is also 2 2/8

so the answer is b

7 0

1 year ago

Hi pls help me plzzzzzzzzzzzz

kirill115 [55]

Answer:

(-3,3) - in quadrant 2 because the quadrant numbers increase as you go counterclockwise

Step-by-step explanation:

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2 years ago