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Question 523

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

Integration Questions

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

864 exam-style questions on Edexcel A Level Maths Integration, covering 11.1 Integrating Standard Functions, 11.2 Integrating f(ax + b), 11.3 Using Trigonometric Identities, 11.4 Reverse Chain Rule, 11.5 Integration by Substitution, 11.6 Integration by Parts, 11.7 Partial Fractions, 11.8 Finding Areas, 11.9 The Trapezium Rule, 11.10 Solving Differential Equations, and 11.11 Modelling with Differential Equations. Each one has a worked solution and a mark scheme showing where the marks go.

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