3 On a separate piece of paper, sketch the graph of the parabola f(x) = x² + 6. axes, plot the point (0, –2). Notice that there are two points on the parabola [of t (a)) ] at which the tangent lines to the parabola pass through (0, –2). Draw thes iese two lines. bint with positive x-coordinate that is on the parabola and has its tangent line to th

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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On a separate piece of paper, sketch the graph of the parabola f(x) = x² + 6. On the same
set of axes, plot the point (0, –2). Notice that there are two points on the parabola [of the form
(±a, f(a)) ] at which the tangent lines to the parabola pass through (0, -2). Draw these two points
and these two lines.
The point with positive x-coordinate that is on the parabola and has its tangent line to the parabola
passing through (0, –2) is
Transcribed Image Text:On a separate piece of paper, sketch the graph of the parabola f(x) = x² + 6. On the same set of axes, plot the point (0, –2). Notice that there are two points on the parabola [of the form (±a, f(a)) ] at which the tangent lines to the parabola pass through (0, -2). Draw these two points and these two lines. The point with positive x-coordinate that is on the parabola and has its tangent line to the parabola passing through (0, –2) is
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