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Further integration — Question 293

Original QCE Vault practice · 4 marks

Q293 · Practice questionTechnology-activeSimple familiar4 marks

QUESTION 293 (4 marks)

A mural has a curved upper edge above a horizontal baseline. Its measured heights hh metres at distances xx metres are shown: x01234h1.22.12.82.01.3\begin{array}{c|ccccc}x&0&1&2&3&4\\\hline h&1.2&2.1&2.8&2.0&1.3\end{array}.
Measured mural heights at x=0,1,2,3,4 are 1.2,2.1,2.8,2.0,1.3. Adjacent points are joined for trapezoidal estimation.
a)
Use four equal trapezoidal strips to estimate the mural area.
[2 marks]
b)
Paint covers 3.5 m23.5\ \mathrm{m}^2 per litre. Allowing 10%10\% extra paint, determine the number of 11-litre tins required.
[2 marks]
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