AQA
Further AS Paper 1
2019
June
— Question 5
2 marks
Exam Board
AQA
Module
Further AS Paper 1 (Further AS Paper 1)
Year
2019
Session
June
Marks
2
Topic
Conic sections
5
Write down the equations of the asymptotes of \(H\).
5
Sketch the hyperbola \(H\) on the axes below, indicating the coordinates of any points of intersection with the coordinate axes.
The asymptotes have already been drawn. [0pt]
[2 marks]
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5
The finite region bounded by \(H\), the positive \(x\)-axis, the positive \(y\)-axis and the line \(y = a\) is rotated through \(360 ^ { \circ }\) about the \(y\)-axis.
Show that the volume of the solid generated is \(m a ^ { 3 }\), where \(m = 3.40\) correct to three significant figures.