Answered: If a parabola defined by f(x)=2−x2 is…

If a parabola defined by f(x)=2−x2 is inscribed under equilateral triangle ABC, so that the parabola is tangent at P and Q.( see figure) Calculate the EXACT coordinates of P and Q.

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter11: Topics From Analytic Geometry

Section11.1: Parabolas

Problem 24E

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Question

If a parabola defined by f(x)=2−x2 is inscribed under equilateral triangle ABC, so that the parabola is tangent at P and Q.( see figure) Calculate the EXACT coordinates of P and Q.

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