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A series of exercises and solutions related to the concept of surface area of revolution in calculus. It includes detailed steps for solving problems involving the rotation of curves around the x-axis and y-axis. Valuable for students studying calculus, particularly those focusing on integral calculus and its applications.
Typology: Assignments
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Find the surface area surface generated when y=2x is revolved about the y-axis from x=0 to x= SOLUTION: y = 2x
DIFFERENTIAL AND INTEGRAL CALCULUS, Feliciano and Uy, Chapter 12.10, page 365, no. 11 R y=3- 2x+x^2
Surface area of Revolution
Find the surface area surface generated when y=2x is revolved about the y- axis from x=0 to x= CONTINUATION… S = S = S =
DIFFERENTIAL AND INTEGRAL CALCULUS, Feliciano and Uy, Chapter 12.10, page 365, no. 11 R y=3- 2x+x^2
Surface area of Revolution
Find the area of the surface generated when arc y= is revolved about the x-axis from x=0 to x=1. Given: Req’d: Area of the surface generated SOLUTION:
DIFFERENTIAL AND INTEGRAL CALCULUS, Feliciano and Uy, Chapter 12.10, page 365, no. 2 y= x= ESM 1031 ENGINEERING CALCULUS 2 (INTEGRAL CALCULUS) Surface area of Revolution
= x= S =
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