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2 years ago

6

His friends all drive more expensive cars, and Tony is now starting to desire these same expensive products. Which factor is Ton

y experiencing

1 answer:

Semenov [28]2 years ago

7 0

Social class , he is experiencing social class

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Use the procedures developed to find the general solution of the differential equation. (Let x be the independent variable.)

makkiz [27]

Solution :

Given :

2y''' + 15y'' + 24y' + 11y= 0

Let x = independent variable

$(a_0D^n + a_1D^{n-1}+a_2D^{n-2} + ....+ a_n) y) = Q(x)$ is a differential equation.

If $Q(x) \neq 0$

It is non homogeneous then,

The general solution = complementary solution + particular integral

If Q(x) = 0

It is called the homogeneous then the general solution = complementary solution.

2y''' + 15y'' + 24y' + 11y= 0

$(2D^3+15D^2+24D+11)y=0$

Auxiliary equation,

$2m^3+15m^2+24m +11 = 0$

-1 | 2 15 24 11

<u> | 0 -2 - 13 -11 </u>

2 13 11 0

∴ $2m^2+13m+11=0$

The roots are

$=\frac{-b\pm \sqrt{b^2-4ac}}{2a}$

$=\frac{-13\pm \sqrt{13^2-4(11)(2)}}{2(2)}$

$=\frac{-13\pm9}{4}$

$=-5.5, -1$

So, $m_1, m_2, m_3 = -1, -1, -5.5$

Then the general solution is :

$= (c_1+c_2 x)e^{-x} + c_3 \ e^{-5.5x}$

8 0

3 years ago

of tthe students in Mr.Smith's fifth grade class ,1/3 were absent on Monday .Of the students in Mrs.Jacob's class ,$/5 were abse

Advocard [28]

Answer:

64

Step-by-step explanation:

4 students were absent and that's 1/3 of class 4x4x4= 64

8 0

3 years ago

If x - 8 = -10, then find the value of 4x - 12

Soloha48 [4]

Answer:

60 is your answer.

Step-by-step explanation:

x - 8 = 10

add 8 to both sides,

x = 18

substitute 18 for x in the second equation:

4(18) - 12 = 72 - 12 = 60

Please lmk if you have questions.

8 0

3 years ago

Help help needed for composition of function

dimulka [17.4K]

Answer:

$\circledast \ \ f\circ f\left( x\right) = x$

$\circledast \ \ g\circ g\left( x\right) =4x - 21$

Step-by-step explanation:

$f(x)=\frac{5}{2x}$

g(x) = 2x - 7

==============

$f\circ f\left( x\right) =\frac{5}{2\left( f\left( x\right) \right) }$

$=\frac{5}{2\left( \frac{5}{2x} \right) }$

$=\frac{5}{\left( \frac{5}{x} \right) }$

$=5\times\frac{x}{5}$

$=x$

_____________

$g\circ g\left( x\right) =2(g(x)) - 7$

= 2(2x - 7) - 7

= 4x - 14 - 7

= 4x - 23

3 0

2 years ago

Sam had 11/2 m of rope. he cut off 5/8 m and used it for a project. how much rope does sam have left?

lakkis [162]

39/8 m or 4.875m is left

6 0

3 years ago