ECZ 2018 · GCE Paper 2 · Question 7 — Earth Geometry
Question from ECZ 2018 · GCE Paper 2 · Question 7
(a) In the diagram below, A and B are points on latitude 60° N while C and D are points on latitude 60° S. [π = 3.142 and R = 3 437 nm]
(a(i)) Calculate the distance BC along the longitude 60°E in nautical miles.[2]
Verified working — step 1
BC lies along the meridian 60 E, from 60 N to 60 S: the angle is 60 + 60 = 120°.(a(ii)) A ship sails from C to D in 12 hours. Find its speed in knots.[4]
Verified working — step 1
C and D are on latitude 60 S with a longitude difference of 120°.(b(i)) Determine the equation of the normal to the curve y = 2x2 - 3x - 2 that passes through the point (3, 7).[3]
Verified working — step 1
Check (3, 7) is on the curve: 2(9) - 3(3) - 2 = 7. Yes.(b(ii)) Evaluate ∫10 (x2 - 2x - 3) dx.[3]
Verified working — step 1
Antiderivative: x3/3 - x2 - 3x.The full step-by-step working and final answer are included with Premium — checked against ECZ marking standards.
Original examination question © Examinations Council of Zambia. Worked solution and commentary © G12 Titan — not to be reproduced without permission.
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