2 marksTrigonometric Functions, Identities and Equations

CAPE Pure Mathematics Unit 1 · May/June 1999 · Paper 2 · Question 5(a)

A groove cutter traces the curve y = sin t, 0 ≤ t ≤ π, after t seconds.

Sketch the curve traced out by the cutter.

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Other parts of this question

5(b)Use the Trapezium rule to find the approximate area of a flat side of each disc by using eight (8) subintervals.[6 marks]
5(c)Compare this approximate area with the exact area of a side of each disc.[4 marks]
5(d)(i)Sketch the solid that is generated by the rotation.[2 marks]
5(d)(ii)Find the volume of the solid that is generated.[6 marks]

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