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3 years ago

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Mathematics

2 answers:

LiRa [457]3 years ago

6 0

Answer: -6 Your welcome

Step-by-step explanation: I just did it and got a 100

VLD [36.1K]3 years ago

4 0

Answer:

Step-by-step explanation:

I hope its right:) have a good day

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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

The larger cube measures 20 cm on each edge. What is the surface area?

gavmur [86]

Answer:

2400

Step-by-step explanation:

Give Me brainllest plz T-T

4 0

3 years ago

A sandwich decrease from $8 to $6 what is the percentage decrease

kati45 [8]

Answer:

25%

Step-by-step explanation:

First find the difference in price= $8-$6 = $2

Now, find percentage decrease in the price of sandwich.

Percentage decrease= (difference in price/ original price) *100

= $\frac{2}{8}$ *100

= $\frac{200}{8}$

Percentage decrease=25%

4 0

3 years ago

Will give brainliest Please help

statuscvo [17]

Answer:

QR=RS

Step-by-step explanation:

She knows that PRQ=TRS because of vertical angles.

She needs to know the length of the lines QR and RS are equal, that is the line between the two angles.

5 0

3 years ago

If <br> −6x+9y=−4 is a true equation, what would be the value of <br> 9y−6x?

Arisa [49]

Answer:

It will be 30

Step-by-step explanation:

Also Have a good day I love you so much Make sure to drink plenty of fluids ♡ ♡

7 0

3 years ago