ECZ 2018 · O-Level Paper 2 · Question 3 — Introduction To Calculus

Question from ECZ 2018 · O-Level Paper 2 · Question 3

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

Verified working — step 1

Integral of (2 + x - x2) dx = 2x + x2/2 - x3/3.

(b) Find the equation of the normal to the curve y = x + 4xat the point where x = 4.[3]

Verified working — step 1

At x = 4: y = 4 + 44= 5, so the point is (4, 5).

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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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