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loris [4]
3 years ago
13

If R is between A and D and DR = 8 and DA = 15 then AR=

Mathematics
1 answer:
dolphi86 [110]3 years ago
5 0

Answer:

7

Step-by-step explanation:

heres a model

A ----------R---------D

A ----?-----R----8---D

A----------15----------D

15 - 8 = 7

AR = 7

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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

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b) The recurrence for the coefficients c_k is

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

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