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tamaranim1 [39]
2 years ago
8

Non homogeneous recurrence relation2fn - 6fn-1 = (n+1)(3^n)​

Mathematics
1 answer:
mel-nik [20]2 years ago
3 0

Answer:

Non-Homogeneous Recurrence Relation and Particular Solutions

A recurrence relation is called non-homogeneous if it is in the form. Fn=AFn−1+BFn−2+f(n) where f(n)≠0.

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3 years ago
PLEASE HELP ASAP!!!!
musickatia [10]
Let us model this problem with a polynomial function.

Let x =  day number (1,2,3,4, ...)
Let y = number of creatures colled on day x.

Because we have 5 data points, we shall use a 4th order polynomial of the form
y = a₁x⁴ + a₂x³ + a₃x² + a₄x + a₅

Substitute x=1,2, ..., 5 into y(x) to obtain the matrix equation
|   1     1    1    1    1  |  | a₁ |      | 42 |
| 2⁴  2³  2²  2¹  2⁰  |  | a₂ |      | 26 |
| 3⁴  3³  3²  3¹  3⁰   |  | a₃ |  =  | 61 |
| 4⁴  4³  4²  4¹  4⁰   |  | a₄ |      | 65 |
| 5⁴  5³  5²  5¹  5⁰  |  | a₅ |      | 56 |

When this matrix equation is solved in the calculator, we obtain
a₁ =      4.1667
a₂ =  -55.3333
a₃ =  253.3333
a₄ =  -451.1667
a₅ =   291.0000

Test the solution.
y(1) = 42  
y(2) = 26
y(3) = 61
y(4) = 65
y(5) = 56

The average for 5 days is (42+26+61+65+56)/5 = 50.
If Kathy collected 53 creatures instead of 56 on day 5, the average becomes
(42+26+61+65+53)/5 = 49.4.

Now predict values for days 5,7,8.
y(6) = 152
y(7) = 571
y(8) = 1631


3 0
3 years ago
Read 2 more answers
6 - 4 2/3<br>6 - 4 2/3 ​
marusya05 [52]

Answer:

you said it two times 6-42/3 that what you means if so it is 1 1/3

Step-by-step explanation:

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Seven million five hundred and forty-two eight hundred in number form pls
romanna [79]

Answer:

7,542,800

Step-by-step explanation:

4 0
3 years ago
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PLEASE HELP ME!!!! Is this an example of strong or weak correlation? ( I can’t decide )
CaHeK987 [17]

Answer:

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Step-by-step explanation:


3 0
4 years ago
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