Given the point P =,(a,b) in the first quadrant, find the downward-opening parabola that passes through the point P and the origin such that the area under the parabola is a minimum. (Hint: a parabola is defined by three points.)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.3: Hyperbolas
Problem 45E
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Given the point P =,(a,b) in the first quadrant, find the downward-opening parabola that passes through the point P and the origin such that the area under the parabola is a minimum. (Hint: a parabola is defined by three points.)

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