An isosceles triangle has one vertex at the origin, with its other two vertices above the origin and symmetrically located on the parabola y = 5 – 2x2. The vertices on the parabola are symmetric with respect to the y-axis. Use calculus to find the largest possible area of the triangle. *Hint: Be sure to use a sign chart with the first derivative or the second derivative test to demonstrate you have a maximum.

An isosceles triangle has one vertex at the origin, with its other two vertices above the origin and symmetrically located on the parabola y = 5 – 2x2. The vertices on the parabola are symmetric with respect to the y-axis. Use calculus to find the largest possible area of the triangle. *Hint: Be sure to use a sign chart with the first derivative or the second derivative test to demonstrate you have a maximum.

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter3: Functions And Graphs

Section3.6: Quadratic Functions

Problem 33E

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