- \(\mathrm { f } ( x ) = a x ^ { 3 } + b x ^ { 2 } + 2 x - 5\), where \(a\) and \(b\) are constants The point \(P ( 1,4 )\) lies on the curve with equation \(y = \mathrm { f } ( x )\).
The tangent to \(y = \mathrm { f } ( x )\) at the point \(P\) has equation \(y = 12 x - 8\)
Calculate the value of \(a\) and the value of \(b\).
(5)
VILIV SIMI NI III IM I ON OC
VILV SIHI NI JAHMMION OC
VALV SIHI NI JIIIM ION OC
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