- Find the equations of the tangents to the curve
at the points where the curve cuts the -axis. (2 marks)
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- Where do the tangents intersect? (2 marks)
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Calculus, 2ADV C1 2010 HSC 7b
The parabola shown in the diagram is the graph
- Find the equation of the tangent to the parabola at
. (2 marks)
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- Let
be the midpoint of .
There is a point
on the parabola such that the tangent at is parallel to .
Show that the line
is vertical. (2 marks)
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- The tangent at
meets the line at .
Show that the line
is a tangent to the parabola. (2 marks)
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Show Worked Solution
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♦ Mean mark 37%.
IMPORTANT: The critical understanding required for this question is that the gradient of
IMPORTANT: The critical understanding required for this question is that the gradient of
ii.
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iii.
♦♦ Mean mark 29%.