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andrew11 [14]
3 years ago
11

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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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]

If

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

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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

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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
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Answer:

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Answer:

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Step-by-step explanation:

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