The tangent to the parabola v = x^2 has been drawn so that the abscissa x_{0} of the point of tangency belongs to the interval [1, 2]. Find x_{0} for which the

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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The tangent to the parabola v = x^2 has
been drawn so that the abscissa x_{0} of
the point of tangency belongs to the
interval [1, 2]. Find x_{0} for which the
triangle bounded by the tangent, the axis of
ordinates, and the straight line y =( x_{0}) ^
2 has the greatest area.
Transcribed Image Text:The tangent to the parabola v = x^2 has been drawn so that the abscissa x_{0} of the point of tangency belongs to the interval [1, 2]. Find x_{0} for which the triangle bounded by the tangent, the axis of ordinates, and the straight line y =( x_{0}) ^ 2 has the greatest area.
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