A = TrVP + h°. a. Find dr/dh for a cone with a lateral surface area of A = 15007. b. Evaluate this derivative when r = 30 andh = 40.

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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Surface area of a cone The lateral surface area of a cone of
radius r and height h (the surface area excluding the base) is

A = TrVP + h°.
a. Find dr/dh for a cone with a lateral surface area of
A = 15007.
b. Evaluate this derivative when r = 30 andh = 40.
Transcribed Image Text:A = TrVP + h°. a. Find dr/dh for a cone with a lateral surface area of A = 15007. b. Evaluate this derivative when r = 30 andh = 40.
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