What is the smallest possible area of the triangle that is cutoff by the first quadrant and whose hypotenuse is tangent tothe parabola y = 4 - x 2  at some point?

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Topics In Analytic Geometry
Section6.2: Introduction To Conics: parabolas
Problem 4ECP: Find an equation of the tangent line to the parabola y=3x2 at the point 1,3.
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What is the smallest possible area of the triangle that is cut
off by the first quadrant and whose hypotenuse is tangent to
the parabola y = 4 - x at some point?

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