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1.5 B: Algebra and functions

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Question 227

In a model of planetary perturbation, the radial distance RRR of a satellite relative to an orbital plane is defined by the equation

112R+2R=2μ−7 \frac{11}{2R} + 2R = 2\mu - 7 2R11​+2R=2μ−7

where μ\muμ is a gravitational parameter and R≠0R \neq 0R=0.

Determine the range of possible values for μ\muμ such that there are no real values of RRR that satisfy this model.

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1.5 B: Algebra and functions Questions

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

Practise AQA A Level Maths 1.5 B: Algebra and functions with exam-style questions for A Level Maths. 358 questions 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), matched to the AQA A Level Maths (7357) specification and written in Paper 1, Paper 2 and Paper 3 style. Every question includes a full worked solution and mark scheme, so you can see where marks are awarded rather than just whether you got the answer right.

Question bank