Let P(a, a 2 ), a > 0, be any point on the part of the parabola

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Let P(a, a²), a > 0, be any point on the part of the parabola y = x² in the first quadrant, and let R be the region bounded by the parabola and the normal line through P. (See the figure.) Show that the area of R is smallest when a = 1/2 .

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Calculus Early Transcendentals

ISBN: 9781337613927

9th Edition

Authors: James Stewart, Daniel K. Clegg, Saleem Watson, Lothar Redlin

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Question Posted: Jan 15, 2021 05:39 AM

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Let P(a, a 2 ), a > 0, be any point on the part of the parabola

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y A (P

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From the solution to Problem 11 in Problems Plus following Chapter ...View the full answer

Calculus Early Transcendentals

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