ECZ 2022 · O-Level Paper 2 · Question 6 — Introduction To Calculus

Question from ECZ 2022 · O-Level Paper 2 · Question 6

(a) Evaluate the integral from -1 to 4 of (2 + 2x + 6x2) dx.[3]

Verified working — step 1

Integral of (2 + 2x + 6x2) dx = 2x + x2 + 2x3.

(b) Find the equation of the normal to the curve y = x2 - 3x - 4 at the point (2, -6).[3]

Verified working — step 1

dydx= 2x - 3, so at x = 2 the tangent gradient is 1.

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Original examination question © Examinations Council of Zambia. Worked solution and commentary © G12 Titan — not to be reproduced without permission.

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