Calculus

What is the function y (x) if it statisfies
Y"=6 y'(1)=4 and y (1)=6

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  1. integrate the derivatives

    Y"=6 ... y' = 6 x + c
    ... 4 = 6 * 1 + c ... c = -2

    y' = 6 x - 2 ... y = 3 x^2 - 2 x + c
    ... 6 = 3 - 2 + c ... c = 5

    y(x) = 3 x^2 - 2 x + 5

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