Easy -1.2 This is a straightforward application of the mean value formula requiring integration of a simple polynomial and division by the interval length. It's a 1-mark multiple choice question testing basic recall of the mean value definition with no problem-solving required, making it easier than average.
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2 Find the mean value of the function \(\mathrm { f } ( x ) = 10 x ^ { 4 }\) between \(x = 0\) and \(x = a\) Circle your answer. [0pt]
[1 mark]
\(10 a ^ { 3 }\)
\(40 a ^ { 3 }\)
\(2 a ^ { 4 }\)
\(4 a ^ { 5 }\)
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2 Find the mean value of the function $\mathrm { f } ( x ) = 10 x ^ { 4 }$ between $x = 0$ and $x = a$ Circle your answer.\\[0pt]
[1 mark]\\
$10 a ^ { 3 }$\\
$40 a ^ { 3 }$\\
$2 a ^ { 4 }$\\
$4 a ^ { 5 }$
\hfill \mbox{\textit{AQA Further Paper 2 2022 Q2 [1]}}