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3 years ago

HELP PLZ AND I WILL GIVE U BRAINLIEST

Mathematics

2 answers:

arsen [322]3 years ago

8 0

Answer:

Step-by-step explanation:

1. A

2. 6/10; 1/10

5's are in 10

6/10

svp [43]3 years ago

8 0

Answer:

1. A

2. 6/10; 1/10

5's are in 10

6/10

Step-by-step explanation:

Because it is (GET USE TO IT)

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1) Use power series to find the series solution to the differential equation y'+2y = 0 PLEASE SHOW ALL YOUR WORK, OR RISK LOSING

iogann1982 [59]

$y=\displaystyle\sum_{n=0}^\infty a_nx^n$

then

$y'=\displaystyle\sum_{n=1}^\infty na_nx^{n-1}=\sum_{n=0}^\infty(n+1)a_{n+1}x^n$

The ODE in terms of these series is

$\displaystyle\sum_{n=0}^\infty(n+1)a_{n+1}x^n+2\sum_{n=0}^\infty a_nx^n=0$

$\displaystyle\sum_{n=0}^\infty\bigg(a_{n+1}+2a_n\bigg)x^n=0$

$\implies\begin{cases}a_0=y(0)\\(n+1)a_{n+1}=-2a_n&\text{for }n\ge0\end{cases}$

We can solve the recurrence exactly by substitution:

$a_{n+1}=-\dfrac2{n+1}a_n=\dfrac{2^2}{(n+1)n}a_{n-1}=-\dfrac{2^3}{(n+1)n(n-1)}a_{n-2}=\cdots=\dfrac{(-2)^{n+1}}{(n+1)!}a_0$

$\implies a_n=\dfrac{(-2)^n}{n!}a_0$

So the ODE has solution

$y(x)=\displaystyle a_0\sum_{n=0}^\infty\frac{(-2x)^n}{n!}$

which you may recognize as the power series of the exponential function. Then

$\boxed{y(x)=a_0e^{-2x}}$

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3 years ago

Aidan is paying his taxes and realizes that he was in the first tax bracket (10%) last year. Eleven years ago, he bought a commo

Makovka662 [10]

So let us analyze the given table above. In the first tax bracket, he doesn't have to pay tax on the dividends. The $565 he earned in dividends is not taxable as well. Also the common stock he bought for $705 since this is a long term evidence. So the only taxable would be $780 in coupons on a corporate bond. So multiply this by 10% and you get $78. Therefore, the answer would be the first option. Hope this helps.

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3 years ago

Find the volume of a cube with x+2

ikadub [295]

Answer:

x^3 + 6x^2 + 12x + 8

Step-by-step explanation:

(x+2)(x+2)(x+2)

(x^2 + 4x + 4)(x+2)

x^3 + 2x^2 + 4x^2 + 8x + 4x + 8

x^3 + 6x^2 + 12x + 8

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4 years ago

Which figures below are similar? 1 and 2 2 and 3 2 and 4 1 and 4

vladimir2022 [97]

Answer:

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Answer:

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Step-by-step explanation:

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