The yield efficiency of a thermal generator, E(τ)E(\tau)E(τ), is given by the function
E(τ)=42τ2−17τ+156τ−5 E(\tau) = \frac{42\tau^2 - 17\tau + 15}{6\tau - 5} E(τ)=6τ−542τ2−17τ+15where τ>1\tau > 1τ>1 is the operating temperature factor. This expression can be rewritten in the form Aτ+B+C6τ−5A\tau + B + \frac{C}{6\tau - 5}Aτ+B+6τ−5C.
State the value of AAA.
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671542 6 \quad\quad 7 \quad\quad 15 \quad\quad 42 671542532 exam-style questions on AQA A Level Maths 1.5 B: Algebra and functions, covering 1.5.1 Laws of indices, 1.5.2 Surds, 1.5.3 Quadratic functions, 1.5.4 Simultaneous equations, 1.5.5 Linear and quadratic inequalities, 1.5.6 Polynomials and rational expressions, 1.5.7 Graphs of functions and proportion, 1.5.8 Composite and inverse functions (A-level only), 1.5.9 Transformations of graphs, 1.5.10 Partial fractions (A-level only), and 1.5.11 Functions in modelling (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.