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Oksanka [162]
3 years ago
13

Pls help and have a great day <333!!!!

Mathematics
1 answer:
nirvana33 [79]3 years ago
8 0

Answer:

find the least common multiple for the denominator and multiply with the numerator

for the first one,

Step-by-step explanation:

the common multiple for 4 and 6 is 12

4×3=12

6×2=12

multiply the same numbers with the numerator

1×3=3

5×2=10

the answer is 3/12 and 10/12

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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
Tell me if i got number 2 wrong or right also answer the question
hichkok12 [17]

Answer:

I hope I know but I need help my self

4 0
3 years ago
HELP! PLEASE! I CAN'T FIND THE ANSWER!
viktelen [127]
Call the integers 'N' and N+1.. Their sum is 2N+1. Twice their sum is 4N+2. . . Two more than that is 4N+4 and the question says that their product is equal to that. . So write N (N+1) = 4N +4, and then solve that equation to find N. I can tell you right now, by looking at it, that N is 4. You should solve the equation.
8 0
3 years ago
Write the explicit formula for the geometric sequence.<br><br> a1 = -5 a2 = 20 a3 = -80
liq [111]
An = a1 * r^(n-1)
a1 = first term = -5
r = common ratio = -4

so ur formula is : an = -5 * -4^(n-1) <==
6 0
3 years ago
Below are the graphs of y = | x | and y = | x | - 9 . How are the graphs related?
Natali5045456 [20]
To move the function c units up, add c to the whole funcion

you adde -9 so you moved up -9 units or down 

see each choice
A. xint is where y=0, the xint for this equaion is 9, false
B. false, slopes were not affected
C. false, they clearly changed
D.  yint is where x=0, the yint is -9, true

answer is D
3 0
4 years ago
Read 2 more answers
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