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Aug 23rd, 2017
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  1. begin{equation}
  2. begin{aligned}
  3. f(h) = pi h^3 -9pi h^2 +90\
  4. f'(h) = 3pi h^2 -18pi h\
  5. h_{n+1} = h_n-frac{f(h_n)}{f'(h_n)}\
  6. h_{n+1} = h_n - frac{pi h_n^3 -9pi h_n^2 +90}{3pi h_n^2 -18pi h_n}\
  7. h_{n+1} = frac{3pi h_n^3 - 18pi h_n^2 - pi h_n^3 -9pi h_n^2 +9}{3pi h_n^2 -18pi h_n}\
  8. h_{n+1} = frac{2pi h_n^3-9pi h_n^2-90}{3pi h_n^2-18pi h}
  9. end{aligned}
  10. end{equation}
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