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The following diagram shows part of the graph of
and the shaded region R which lies between x=0 and x=3, bounded by the parabola and the x-axis.
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Calculate the area of R.
The points A=(0,0),B=(3,18),C=(h,0) form a triangle with area R.
Determine the value of h.
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Arjun sails on a close hauled away from the dock at a bearing of 45∘ for 3km. He then tacks and sails on a beam reach at a bearing of 165∘ for 8km.
How far does Arjun have to sail in order to get back to the dock?
What bearing should Arjun take in order to get back to the dock?
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