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lubasha [3.4K]
3 years ago
15

IMMEDIATE HELP!!! ignore top graph

Mathematics
1 answer:
BigorU [14]3 years ago
5 0

Answer:

I agree, because the two lines have an identical slope.

Step-by-step explanation:

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If you invest $500 at 4% interest,compounded annually,how much is in the account at the end of six years?
Genrish500 [490]
So, we'll find out how much interest this person will have in 6 years and then add it to the original deposit. To do this we will multiply all the factors:

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

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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 :

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

 

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