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andreev551 [17]

3 years ago

9

Anyone help? I haven’t been in school bc I was sick pls help

2 answers:

klemol [59]3 years ago

6 0

Answer:

$\frac{1}{3}$

Step-by-step explanation:

$\frac{3}{6} -\frac{1}{6} =\frac{2}{6}$

Divide top and bottom by 2 to simplify.

$\frac{1}{3}$

Ratling [72]3 years ago

5 0

2/3 or 0.6 repeating is the answer

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The line y=4mx-8 and y=-8+3x are parallel find the value of m??

BartSMP [9]

Step-by-step explanation:

parallel the slope of 2 equations are the same value

4m = 3

m = 3/4

8 0

3 years ago

Sholpan [36]

Answer:

t=1/5d

Hope this helps! :)

8 0

4 years ago

How to write 314,207 in word form

madam [21]

Three hundred fourteen thousand two hundred seven

8 0

3 years ago

The indicated function y1(x) is a solution of the given differential equation. Use reduction of order or formula (5) in Section

Svetradugi [14.3K]

First confirm that $y_1=xe^{-x}$ is a solution to the ODE,

$y''+2y'+y=0$

We have

${y_1}'=e^{-x}-xe^{-x}=(1-x)e^{-x}$

${y_1}''=-e^{-x}-(1-x)e^{-x}=(-2+x)e^{-x}$

Substituting into the ODE gives

$(-2+x)e^{-x}+2(1-x)e^{-x}+xe^{-x}=0$

Suppose $y_2(x)=v(x)y_1(x)$ is another solution to this ODE. Then

${y_2}'=v'y_1+v{y_1}'$

${y_2}''=v''y_1+2v'{y_1}'+v{y_1}''$

and substituting these into the ODE yields

$(v''y_1+2v'{y_1}'+v{y_1}'')+2(v'y_1+v{y_1}')+vy_1=0$

$xe^{-x}v''+2e^{-x}v'=0$

$xv''+2v'=0$

Let $w(x)=v'(x)$ . Then the remaining ODE is linear in $w$ :

$xw'+2w=0$

Multiply both sides by the integrating factor, $x$ , and condense the left hand side as a derivative of a product:

$x^2w'+2xw=(x^2w)'=0$

Integrate both sides with respect to $x$ and solve for $w$ :

$x^2w=C_1\implies w=C_1x^{-2}$

Back-substitute and integrate both sides with respect to $x$ to solve for $v$ :

$v'=C_1x^{-2}\implies v=-C_1x^{-1}+C_2$

Back-substitute again to solve for $y_2$ :

$\dfrac{y_2}{y_1}=C_2-\dfrac{C_1}x$

$\implies y_2=C_2xe^{-x}-C_1e^{-x}$

$y_1$ already captures the solution $xe^{-x}$ , so the remaining one is

$\boxed{y_2=e^{-x}}$

6 0

3 years ago

Venla is 5 years older than her cousin Kora.

aniked [119]

Correct solutions:

v = k + 5

k = 13

v = 13 + 5
v = 18

18 = Venlas age.

Hope it helped,

Happy homework/ study exam!

3 0

3 years ago

Read 2 more answers