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−v20+8v−5v−2vv,
where v>0 v>0\,v>0 and v≠16v\ne16v=16.
Simplify E(v)E(v)E(v) completely.
281 exam-style questions on CCEA A Level Maths 3.1 Algebra and functions (A-level only), covering 3.1.1 Algebra and functions (A-level only), 3.1.2 Algebra and functions (A-level only), 3.1.3 Algebra and functions (A-level only), 3.1.4 Algebra and functions (A-level only), 3.1.5 Algebra and functions (A-level only), 3.1.6 Algebra and functions (A-level only), 3.1.7 Algebra and functions (A-level only), 3.1.8 Algebra and functions (A-level only), 3.1.9 Algebra and functions (A-level only), and 3.1 Algebra and functions (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.