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Butoxors [25]
3 years ago
15

Explain how you solved

Mathematics
1 answer:
drek231 [11]3 years ago
4 0
12 1/3 + (-3 1/4) + 4 1/2
37/3 + - 13/4 + 9/2
148/12 + - 39/12 + 54/12
163/12 = 13 7/12



1. change the numbers to mixed fraction ( denominator multiplied by base plus numerator )
2. find a common denominator
3. add and or subtract
4. simplify your answer


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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
Please help and help me on the first one too idk if I got that correct or not
inessss [21]

Answer:

14, 12

Step-by-step explanation:

the first is right I think

r+p=28 can also be written as 28-p=r

so 28-14=14

and 28-16=12

hopefully that works

5 0
3 years ago
What dose composite mean?
Sveta_85 [38]
Adjective: Made up of various parts or elements
5 0
3 years ago
What is the equation of a line with a slope of ​ ​ −4 ​ ​ and a point ​ (−2, 5) ​ on the line? Express the equation in the form
Alja [10]

Answer:

y = - 4x - 3

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + b ( m is the slope and c the y- intercept )

Here m = - 4, thus

y = - 4x + b ← is the partial equation

To find b substitute (- 2, 5) into the partial equation

5 = 8 + b ⇒ b = 5 - 8 = - 3

y = - 4x - 3 ← equation of line

6 0
3 years ago
Read 2 more answers
What is the product?<br><br><br> 2y/y-3 times 4y-12/2y+6
ahrayia [7]

Answer: 4y/y+3 for sure

7 0
3 years ago
Read 2 more answers
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