TMUA Sed (CoderLovesEggs) Paper 1 with Solutions · Question 16

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Sed (CoderLovesEggs) Paper 1 with Solutions · Q16

Paper 1Geometry

The tangent to

y=x^3-3x

at $x=a$ (where $a>0$ ) intersects the curve again such that the area bounded between the curve and the tangent is $\dfrac{64}3$ .

It follows that $a$ equals:

\dfrac4{15^{1/4}}

;

\dfrac4{21^{1/4}}

;

\dfrac4{33^{1/4}}

;

\dfrac4{57^{1/4}}

;

1

;

\dfrac43

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