Additional Mathematics 4037/11 — May/June 2017

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Topics Calculus · Trigonometry · [Legacy] Indices and surds · Quadratic functions · Straight-line graphs · Factors of polynomials · +5 more

Q1Quadratic functionsStraight-line graphsCalculus[Legacy] Indices and surdsFree sample

The line $y = kx - 5$ , where $k$ is a positive constant, is a tangent to the curve $y = x^2 + 4x$ at the point $A$ .

(i)

Find the exact value of $k$ .

(ii)

Find the gradient of the normal to the curve at the point $A$ , giving your answer in the form $a + b\sqrt{5}$ , where $a$ and $b$ are constants.

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