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If $\sqrt[3]{(1 + 9x)} \approx 1 + 3x + ax^2 + bx^3$ for small values of $x$, determine the values of the coefficients $a$ and $b$.
Mathematics 9709 · AS & A Level · Algebra
If $\sqrt[3]{(1 + 9x)} \approx 1 + 3x + ax^2 + bx^3$ for small values of $x$, determine the values of the coefficients $a$ and $b$.