Find the surface area of the "Coolio McSchoolio" surface shown below using the formula: SA = integral, integral D, ||ru * rv||dA The parameterization of the surface is: r(u,v) = vector brackets (uv, u + v, u - v) where u^2 + v^2 <= 1 A.) (pi/3)(6squareroot(6) - 8) B.) (pi/3)(6squareroot(6) - 2squareroot(2)) C.) (pi/6)(2squareroot(3) - squareroot(2)) D.) (pi/6)(squareroot(6) - squareroot(2)) E.) (5pi/6)(6 - squareroot(2))
Find the surface area of the "Coolio McSchoolio" surface shown below using the formula: SA = integral, integral D, ||ru * rv||dA The parameterization of the surface is: r(u,v) = vector brackets (uv, u + v, u - v) where u^2 + v^2 <= 1 A.) (pi/3)(6squareroot(6) - 8) B.) (pi/3)(6squareroot(6) - 2squareroot(2)) C.) (pi/6)(2squareroot(3) - squareroot(2)) D.) (pi/6)(squareroot(6) - squareroot(2)) E.) (5pi/6)(6 - squareroot(2))
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:Find the surface area of the "Coolio McSchoolio" surface shown below using the formula:
SA = integral, integral D, ||ru * rv||dA
%3D
The parameterization of the surface is:
r(u,v) = vector brackets (uv, u + v, u - v) where u^2 + v^2 <= 1
A.) (pi/3)(6squareroot(6) - 8)
B.) (pi/3)(6squareroot(6) - 2squareroot(2))
C.) (pi/6)(2squareroot(3) - squareroot(2))
D.) (pi/6)(squareroot(6) - squareroot(2))
E.) (5pi/6)(6 - squareroot(2))
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