OCR MEI Further Numerical Methods 2020 November — Question 1

Exam BoardOCR MEI
ModuleFurther Numerical Methods (Further Numerical Methods)
Year2020
SessionNovember
TopicSign Change & Interval Methods
TypeError Analysis in Approximations

1 Fig. 1 shows some spreadsheet output. \begin{table}[h]
A
11E-17
21E-17
31E-29
\captionsetup{labelformat=empty} \caption{Fig. 1}
\end{table}
  1. Write the value displayed in cell A3 in standard mathematical notation. The formula in cell A3 is
    \(= \mathrm { A } 2 - \mathrm { A } 1\)
  2. Explain why the value displayed in cell A3 is non zero.
  3. Write down the value of the number stored in cell A2 to the highest precision possible.
  4. Explain why your answer to part (c) may be different to the actual value stored in cell A2.