Sketch the curve
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Calculus, 2ADV C3 2016 HSC 13a
Consider the function
- Find the two stationary points and determine their nature. (4 marks)
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- Sketch the graph of the function, clearly showing the stationary points and the
and intercepts. (2 marks)
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Calculus, 2ADV C3 2007 HSC 6b
Let
- Find the coordinates of the points where the curve crosses the axes. (2 marks)
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- Find the coordinates of the stationary points and determine their nature. (4 marks)
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- Find the coordinates of the points of inflection. (1 mark)
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- Sketch the graph of
, indicating clearly the intercepts, stationary points and points of inflection. (3 marks)
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Calculus, 2ADV C3 2008 HSC 8a
Let
- Find the coordinates of the points where the graph of
crosses the axes. (2 marks)
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- Show that
is an even function. (1 mark)
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- Find the coordinates of the stationary points of
and determine their nature. (4 marks)
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- Sketch the graph of
. (1 mark)
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Calculus, 2ADV C3 2012 HSC 14a
A function is given by
- Find the coordinates of the stationary points of
and determine their nature. (3 marks)
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- Hence, sketch the graph
showing the stationary points. (2 marks)
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- For what values of
is the function increasing? (1 mark)
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- For what values of
will have no solution? (1 mark)
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♦ Mean mark 42%
MARKER’S COMMENT: Be careful to use the correct inequality signs, and not carelessly include ≥ or ≤ by mistake.
MARKER’S COMMENT: Be careful to use the correct inequality signs, and not carelessly include ≥ or ≤ by mistake.
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♦♦♦ Mean mark 12%.