Let S be the surface which is the graph of a C¹ function f(x, y) defined on an elementary region D. Then the area A(S) of S is given by f f //₁√ ₁ + 2√2 + 0/1/1 1 dx² dy² f(x, y) dxdy D af af °/₂√¹ + ( ) + ( ) 1 ² dy D dxdy of Vitrix, 1 + dxdy 1 - (3) ² (f)²³ dxdy axdy
Let S be the surface which is the graph of a C¹ function f(x, y) defined on an elementary region D. Then the area A(S) of S is given by f f //₁√ ₁ + 2√2 + 0/1/1 1 dx² dy² f(x, y) dxdy D af af °/₂√¹ + ( ) + ( ) 1 ² dy D dxdy of Vitrix, 1 + dxdy 1 - (3) ² (f)²³ dxdy axdy
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section: Chapter Questions
Problem 12T
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