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3 years ago

Isabelle claims that AMNO - ARST Is she correct? If

Mathematics

1 answer:

vladimir1956 [14]3 years ago

7 0

Answer:

Step-by-step explanation:

No, the vertices in her claim are not written in corresponding order.

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How do I solve 5 + 6y = 9y + 2 + 3(1 - y)

Stella [2.4K]

Actually you can't solve this. There is no solutions.

3 0

3 years ago

Read 2 more answers

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

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

7 0

3 years ago

The number of apples required to bake a pie varies directly with the square of the diameter of the pie tin. If 4 apples are requ

Lesechka [4]

Answer:

5 apples

Step-by-step explanation:

Solution,

4 apples are required for a pie tin with a diameter of 8 inches

For 1 inch of the pie tin 8/4=2 apples are required.

For 10 inches 10/2=5 apples are required.

5 0

3 years ago

Read 2 more answers

Solve the problem down below:<br><br><br><br> ty :P

sergiy2304 [10]

The correct slope is 1!

6 0

3 years ago

4. = 38 -8(n-1), n=1, 2, 3...

stepladder [879]

Answer:

$38-8\left(n-1\right),\:n=123:\quad -938$

$\mathrm{For}\:38-8\left(n-1\right)\:\mathrm{substitute}\:n\space\mathrm{\:with\:}\space123$

$38-8(123-1)= -938$

$-938$

Step-by-step explanation:

5 0

2 years ago