A relation is defined parametrically by
If
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♦ Mean mark 39%.
Graphs, SPEC2-NHT 2019 VCAA 2 MC
The curve given by
Calculus, SPEC2 2019 VCAA 1
A curve is defined parametrically by
- Show that the curve can be represent in cartesian form by the rule
. (2 marks)
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- State the domain and range of the relation given by
. (2 marks)
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- i. Express
in terms of . (2 marks)
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- ii. State the limiting value of
as approaches . (1 mark)
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- Sketch the curve
on the axes below for , labelling the endpoints with their coordinates. (2 marks)
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- The portion of the curve given by
for is rotated about the -axis to form a solid of revolution. - Write down, but do not evaluate, a definite integral in terms of
that gives the volume of the solid formed. (2 marks)
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a.
b.
c.i.
c.ii.
| d. |  |
e.
Trigonometry, SPEC2 2013 VCAA 2 MC
The rule of the relation determined by the parametric equations