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Leto [7]
3 years ago
15

If (−7, m) is on a circle with center c(3, 5) and radius 10, what is the value of m? m = 5 m equals negative five plus two squar

e root of 21 end square root m = −5 m equals five plus two square root of 21 end square root
Mathematics
1 answer:
AfilCa [17]3 years ago
7 0

{(x - 3)}^{2}  +  {(y - 5)}^{2}  = 100 \\ 100 +  {(y - 5)}^{2} = 100 \\ y = 5
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Let

I(n,a)=\displaystyle\int\sin^nax\,\mathrm dx
For demonstration on how to tackle this sort of problem, I'll only work through the case where n is odd. We can write

\displaystyle\int\sin^nax\,\mathrm dx=\int\sin^{n-2}ax\sin^2ax\,\mathrm dx=\int\sin^{n-2}ax(1-\cos^2ax)\,\mathrm dx
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For this next integral, we rewrite the integrand

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I(n,a)=I(n-2,a)-\displaystyle\int\sin^{n-2}ax\cos^2ax\,\mathrm dx
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I(n,a)=I(n-2,a)-\dfrac{n-3}3\bigg(I(n-4,a)-2I(n-2,a)+I(n,a)\bigg)+\dfrac1{3a}\sin^{n-3}ax\cos^3ax
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