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1.5 B: Algebra and functions

1.5 B: Algebra and functions

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Question 101

In a fluid dynamics experiment, the drag coefficient DDD of a specialized underwater drone is modeled as a function of its velocity vvv (in m/s) by the expression:

D(v)=32v2−14v+54v−1 D(v) = \frac{32v^2 - 14v + 5}{4v - 1} D(v)=4v−132v2−14v+5​

The expression can be written in the form:

D(v)=Av+B+C4v−1 D(v) = Av + B + \frac{C}{4v - 1} D(v)=Av+B+4v−1C​

where A,BA, BA,B, and CCC are constants. State the value of AAA.

Answer options: 8, 9, 4, 32

Circle your answer: 8 9 4 32

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Markscheme

1.5 B: Algebra and functions Questions

  1. A Level
  2. /Maths
  3. /1.5 B: Algebra and functions

532 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.

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