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0580 P41 - Nov 2020 - Q10 - 14 marks
13468
Parabola x²plus3xminus4 intercepts A B C

\(y=x^2+3x-4\).

(a(i)) Find the coordinates of A,B,C. [4]

(a(ii)) Differentiate \(x^2+3x-4\). [2]

(a(iii)) Find the tangent equation at (2,6). [3]

Blank axes0to360for tangent graph

(b(i)) Sketch \(y=\tan x\) for \(0^\circ\le x\le360^\circ\). [2]

(b(ii)) Solve \(5\tan x=-7\) in this interval. [3]

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