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Algebraic Methods

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Question 248

The cooling efficiency coefficient, E(v)E(v)E(v), of a high-speed fluid turbine is modeled by the function

E(v)=20+8v−5v12−2v324−v E(v) = \frac{20 + 8v - 5v^{\frac{1}{2}} - 2v^{\frac{3}{2}}}{4 - \sqrt{v}} E(v)=4−v​20+8v−5v21​−2v23​​

where v v\,v is the fluid velocity in ms−1\text{ms}^{-1}ms−1, v>0 v > 0\,v>0 and v≠16v \neq 16v=16.

Simplify the expression for E(v)E(v)E(v) completely, showing each step of your algebraic factorisation.

[4]
Markscheme

Algebraic Methods Questions

  1. A Level
  2. /Maths
  3. /Algebraic Methods

368 exam-style questions on Edexcel A Level Maths Algebraic Methods, covering 1.1 Proof by Contradiction, 1.2 Algebraic Fractions, 1.3 Partial Fractions, 1.4 Repeated Factors, and 1.5 Algebraic Division. Each one has a worked solution and a mark scheme showing where the marks go.

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