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3 years ago

13

WILL MARK BRAINLIEST TO THE FIRST PERSON!!!!

1 answer:

xxTIMURxx [149]3 years ago

7 0

Answer:

I think the answer is 105

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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

4 years ago

<img src="https://tex.z-dn.net/?f=%5Csqrt%20%5Cfrac18" id="TexFormula1" title="\sqrt \frac18" alt="\sqrt \frac18" align="absmidd

morpeh [17]

Step-by-step explanation:

$\sqrt{1/8}$ = $\sqrt{1} /\sqrt{8}$

$\sqrt{8} =2\sqrt{2}$

$1/(2\sqrt{2} )$

if the denominator is a root then multiply itself by itself to get an integer

$1(2\sqrt{2} )/((2\sqrt{2})(2\sqrt{2} ))$

$\sqrt{2} /4$

Hope that helps :)

7 0

3 years ago

Find the slope of the line that passes through (4, 6) and (1, 10).

Jlenok [28]

Answer:

given us,

(x1y1) = (4,6)

(x2y2)= (1,10)

here

slope= (y2-y1)/ (x2-x1)

= (10-6)/ (1-4)

= 4/ (-3)

Step-by-step explanation:

4/ (-3)

5 0

3 years ago

Select the value that completes the perfect square trinomial: x^ 2 +22x+_____

Alina [70]

Answer:

121 i.e. 11²

Step-by-step explanation:

(a+b)² = a² + 2ab + b²

x² + 2 × x × 11 + 11² = (x + 11)²

8 0

2 years ago

Witch quantity is proportional to 26/13

igomit [66]

Answer:

2

Step-by-step explanation:

26\13=18/9=38/19

divide all and you get 2

6 0

4 years ago