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Find the function f where f ''(x)=8x³+5, f(1)=0 and f '(1)=8.

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f' = 2 x^4 + 5x + c ... 2 + 5 + c = 8 ... c = 1

f = 2/5 x^5 + 5/2 x^2 + x + c ... 2/5 + 5/2 + 1 + c = 0 ... c = -39/10

Thanks! This helps a lot.

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