3.2 Algebra and Functions (A-level only)

76%

In a high-frequency electronics design, the transfer function $H (s)$ of a specific signal filter is given by:

\frac{16s + 11}{(2s - 3)(4s + 1)}

Determine the values of the constants $A$ and $B$ such that $H (s)$ can be expressed as:

\frac{A}{2s - 3} + \frac{B}{4s + 1}

where $A$ and $B$ are integers.

[4]

3.2 Algebra and Functions (A-level only) Questions

76%

In a high-frequency electronics design, the transfer function $H (s)$ of a specific signal filter is given by:

\frac{16s + 11}{(2s - 3)(4s + 1)}

Determine the values of the constants $A$ and $B$ such that $H (s)$ can be expressed as:

\frac{A}{2s - 3} + \frac{B}{4s + 1}

where $A$ and $B$ are integers.

[4]