An oil spill is modelled as a circular disc with radius r km and area A km
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An oil spill is modelled as a circular disc with radius r km and area A km2. The rate of increase of the area of the oil spill, in km2/day at time t days after it occurs is modelled as:
a. Show that
Given that the radius of the spill at time t = 0 is 1 km, and the radius of the spill at time t = π2 is 2 km:
b. Find an expression for r2 in terms of t
c. Find the time, in days and hours to the nearest hour, after which the radius of the spill is 1.5 km.
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Related Book For
Pearson Edexcel A Level Mathematics Pure Mathematics Year 2
ISBN: 9781292183404
1st Edition
Authors: Greg Attwood, Jack Barraclough, Ian Bettison, David Goldberg, Alistair Macpherson, Joe Petran
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