Q6 A curve has equation y= 3x-2 4x + 5 (a) Write down an equation of the asymptote to the curve which is parallel to (i) the x-axis, (ii) the y-axis. (b) Find the coordinates of the point where the curve crosses (i) the x-axis, (ii) the v-axis. (c) Sketch the curve, showing clearly the asymptotes and the coordinates of the points where the curve crosses the coordinate axes. (d) Find an equation of the normal to the curve at the point where x=-1 Give your answer in the form ax + by c-0 where a, b and care integers.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Q6
A curve has equation y=
3x-2
4x + 5
x
(a) Write down an equation of the asymptote to the curve which is parallel to
(i) the x-axis,
(ii) the y-axis.
(b) Find the coordinates of the point where the curve crosses
(i) _the_x-axis,
(ii) the v-axis.
(c) Sketch the curve, showing clearly the asymptotes and the coordinates of the points
where the curve crosses the coordinate axes.
(d) Find an equation of the normal to the curve at the point where x=-1
Give your answer in the form ax + bye - 0 where a, b and c are integers.
Transcribed Image Text:Q6 A curve has equation y= 3x-2 4x + 5 x (a) Write down an equation of the asymptote to the curve which is parallel to (i) the x-axis, (ii) the y-axis. (b) Find the coordinates of the point where the curve crosses (i) _the_x-axis, (ii) the v-axis. (c) Sketch the curve, showing clearly the asymptotes and the coordinates of the points where the curve crosses the coordinate axes. (d) Find an equation of the normal to the curve at the point where x=-1 Give your answer in the form ax + bye - 0 where a, b and c are integers.
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