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1.7.2 Integration

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Question 12

A marine biologist models the rate of change of the depth of a diving seal, DDD (in metres), relative to time sss (in seconds) for s>0 s > 0\,s>0 using the following formula:

dDds=7s34−35s23+27 \frac{dD}{ds} = \frac{7s^3}{4} - \frac{3}{5\sqrt[3]{s^2}} + \frac{2}{7} dsdD​=47s3​−53s2​3​+72​

Determine the general equation for the depth D D\,D in terms of sss, giving your answer in its simplest form.

[4]
Markscheme

1.7.2 Integration Questions

  1. A Level
  2. /Maths
  3. /1.7.2 Integration

80 exam-style questions on CCEA A Level Maths 1.7.2 Integration. Each one has a worked solution and a mark scheme showing where the marks go.

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