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.

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
Question
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.
Transcribed Image Text: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.
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