A parabolic mirror is a mirror whose surface comes from the rotation of an arc of parabola of type f(x) =ax^2 around the ordinate axis. Consider the parabola whose dimensions are shown in the following diagram. What is the surface area of ​​the parabolic mirror obtained from this parabola?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter1: Fundamental Concepts Of Algebra
Section1.2: Exponents And Radicals
Problem 26E
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A parabolic mirror is a mirror whose surface comes from the rotation of an arc of parabola of type f(x) =ax^2 around the ordinate axis. Consider the parabola whose dimensions are shown in the following diagram.

What is the surface area of ​​the parabolic mirror obtained from this parabola?

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