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olga55 [171]
2 years ago
5

What number divided by - 3 gives 12 as the result?

Mathematics
1 answer:
melomori [17]2 years ago
6 0

Answer:

If you use a search engine you will get the right answer.

Step-by-step explanation:

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Please help me with the below question.
VMariaS [17]

By letting

y = \displaystyle \sum_{n=0}^\infty c_n x^{n+r}

we get derivatives

y' = \displaystyle \sum_{n=0}^\infty (n+r) c_n x^{n+r-1}

y'' = \displaystyle \sum_{n=0}^\infty (n+r) (n+r-1) c_n x^{n+r-2}

a) Substitute these into the differential equation. After a lot of simplification, the equation reduces to

5r(r-1) c_0 x^{r-1} + \displaystyle \sum_{n=1}^\infty \bigg( (n+r+1) c_n + (n + r + 1) (5n + 5r + 1) c_{n+1} \bigg) x^{n+r} = 0

Examine the lowest degree term \left(x^{r-1}\right), which gives rise to the indicial equation,

5r (r - 1) + r = 0 \implies 5r^2 - 4r = r (5r - 4) = 0

with roots at r = 0 and r = 4/5.

b) The recurrence for the coefficients c_k is

(k+r+1) c_k + (k + r + 1) (5k + 5r + 1) c_{k+1} = 0 \implies c_{k+1} = -\dfrac{c_k}{5k+5r+1}

so that with r = 4/5, the coefficients are governed by

c_{k+1} = -\dfrac{c_k}{5k+5} \implies \boxed{g(k) = -\dfrac1{5k+5}}

c) Starting with c_0=1, we find

c_1 = -\dfrac{c_0}5 = -\dfrac15

c_2 = -\dfrac{c_1}{10} = \dfrac1{50}

so that the first three terms of the solution are

\displaystyle \sum_{n=0}^2 c_n x^{n + 4/5} = \boxed{x^{4/5} - \dfrac15 x^{9/5} + \frac1{50} x^{13/5}}

4 0
2 years ago
Help me please,ASAP ​
gladu [14]

Answer:do it yo self

Step-by-step explanation: get yo daam calculator and do it

4 0
3 years ago
Find the quotient.<br> -72 / -12 =
Shkiper50 [21]

Step-by-step explanation:

it's 6

as,

-12 × 6 = -72

hope this helps you!

4 0
2 years ago
Read 2 more answers
Apply the distributive property to factor out the greatest common factor. 5 5 + 3 5 = 55+35=
vodomira [7]

Answer:

5(11+7) = 55+35

Step-by-step explanation:

The distributive property states that when multiplying a term with a sum multiply into each term within the sum. Here you have a sum. You’ll reverse the distributive property by factoring our a term which could multiply into each. 55 and 35 both have 5 as a factor. This makes the expression 5(11+7) = 55+35.

3 0
3 years ago
Select the function that represents the following transformations of f(x) = | x |:
lianna [129]

Answer:

g

Step-by-step explanation:

7 0
3 years ago
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