(b) Use the formula A = b ²) ₁√² + ( 2 ) 2πT Y dx a 2 dy dx to derive an expression for the curved surface area of the cone ob- tained by rotating the line Y = mx, 0 < x

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter1: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 36RE
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Question
(b) Use the formula
A
b
2
- 2 ) v√x + ( 22 )
dy
=
Y
dx
a
dx
to derive an expression for the curved surface area of the cone ob-
tained by rotating the line y = mx, 0 < x <h, about the x-axis.
Transcribed Image Text:(b) Use the formula A b 2 - 2 ) v√x + ( 22 ) dy = Y dx a dx to derive an expression for the curved surface area of the cone ob- tained by rotating the line y = mx, 0 < x <h, about the x-axis.
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