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3 Unit A2 1: Pure Mathematics (A-level only)

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Question 258

The efficiency coefficient E(v)E(v)E(v) of a turbine is modelled by

E(v)=20+8v−5v−2vv4−v\displaystyle E(v)=\frac{20+8v-5\sqrt{v}-2v\sqrt{v}}{4-\sqrt{v}}E(v)=4−v​20+8v−5v​−2vv​​,

where v>0 v>0\,v>0 and v≠16v\ne16v=16.

Simplify E(v)E(v)E(v) completely.

[4]
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3 Unit A2 1: Pure Mathematics (A-level only) Questions

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