3.1.1 Algebra and functions (A-level only)

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

\frac{11}{2R} + 2R = 2\mu - 7

where $μ\mu$ is a gravitational parameter and $\neq 0$ .

Determine the range of possible values for $μ\mu$ such that there are no real values of $R$ that satisfy this model.

[5]

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

\frac{11}{2R} + 2R = 2\mu - 7

where $μ\mu$ is a gravitational parameter and $\neq 0$ .

Determine the range of possible values for $μ\mu$ such that there are no real values of $R$ that satisfy this model.

[5]

3.1.1 Algebra and functions (A-level only) Questions