The equation of a curve is $y = ax^3 + b$, where $a$ and $b$ are constants. The equation

Question

The equation of a curve is $y = ax^3 + b$, where $a$ and $b$ are constants. The equation of the normal to the curve at the point where $x = 1$ is $5y + 2x = 12$. Find the value of $a$ and of $b$.[6]

Accepted Answer

$a=\frac{5}{6},\quad b=\frac{7}{6}$

2024 FMSS PRELIMS P2 Q2

2024 FMSS PRELIMS P2 Q2

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