HALP HALP hALP HALP HALP

I need help can someone please help me

ExtremeBDS [4]

Answer:

its 33 cm

Step-by-step explanation:

6 0

3 years ago

X ^ (2) y '' - 7xy '+ 16y = 0, y1 = x ^ 4

AfilCa [17]

Given a solution $y_1(x)=x^4$ , we can attempt to find another via reduction of order of the form $y_2(x)=x^4v(x)$ . This has derivatives

${y_2}'=4x^3v+x^4v'$
${y_2}''=12x^2v+8x^3v'+x^4v''$

Substituting into the ODE yields

$x^2(x^4v''+8x^3v'+12x^2v)-7x(x^4v'+4x^3v)+16x^4v=0$
$x^6v''+(8x^5-7x^5)v'+(12x^4-28x^4+16x^4)v=0$
$x^6v''+x^5v'=0$

Now letting $u(x)=v'(x)$ , so that $u'(x)=v''(x)$ , you end up with the ODE linear in $u$

$x^6u'+x^5u=0$

Assuming $x\neq0$ (which is reasonable, since $x=0$ is a singular point), you can divide through by $x^5$ and end up with

$xu'+u=(xu)'=0$

and integrating both sides with respect to $x$ gives

$xu=C_1\implies u=\dfrac{C_1}x$

Back-substitute to solve for $v$ :

$v'=\dfrac{C_1}x\implies v=C_1\ln|x|+C_2$

and again to solve for $y$ :

$y=x^4v\implies \dfrac y{x^4}=C_1\ln|x|+C_2$
$\implies y=C_1\underbrace{x^4\ln|x|}_{y_2}+C_2\underbrace{x^4}_{y_1}$

Alternatively, you can solve this ODE from scratch by employing the Euler substitution (which works because this equation is of the Cauchy-Euler type), $t=\ln x$ . You'll arrive at the same solution, but it doesn't hurt to know there's more than one way to solve this.

6 0

3 years ago

9) Find the median of the data set.

bazaltina [42]

Answer:

a

Step-by-step explanation:

the median is the middle value of the data arranged in ascending order

5 , 6 , 6 , 7 , 8 , 10 , 12 , 13 , 14 ← ascending order

↑ middle value

median = 8

8 0

2 years ago

Read 2 more answers

4 ones 16 hundredths in a fraction form and Decimal Form

IRISSAK [1]

Answer:

a) 416/100 = 4.16

b) 46/10 = 4.6

c) 406/100 = 4.06

Step-by-step explanation:

a) 4 + 16/100 = 4(100/100) +16/100 = (400 +16)/100 = 416/100 = 104/25

4 + 16/100 = 4 +0.16 = 4.16

__

b) 4 + 6/10 = 4(10/10) +6/10 = (40 +6)/10 = 46/10 = 23/5

4 +6/10 = 4 +0.6 = 4.6

__

c) 4 +6/100 = 4(100/100) +6/100 = (400 +6)/100 = 406/100 = 203/50

4 +6/100 = 4 +0.06 = 4.06

_____

<em>Comment on place value</em>

Since you're familiar with the decimal place-value number system, you know that digits in the ones place are multiplied by 1; digits in the tenths place are multiplied by 1/10 or 0.1; and digits in the hundredths place are multiplied by 1/100 or 0.01. These same multipliers can be represented as powers of 10: 10^0, 10^-1, 10^-2, respectively.

6 0

3 years ago

How many days would it take to walk from colorado to los angeles <br><br> days not hours

Verizon [17]

Answer: 117 days (3.9 months)

Step-by-step explanation:

Los Angeles is approximately 787 miles away from Colardo. A comfortable walking speed is around 3 miles per hour. Consider hiking from Colarado to Los Angeles. This would take about 250 hours (10 days).

8 0

3 years ago

Read 2 more answers