Evaluate the surface integral I. -4x dS. S Where S is the triangular region with vertices (4, 0, 0), (0, 2, 0) and (0, 0, – 1). An equation of the plane in which the triangular region lies is given by: = Z Σ Therefore • Y2 -4x dS Σ dy dr where Y1 = Y2 = -4 Σ X2 = Σ Evaluate S. -4x dS = M M M M

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Evaluate the surface integral
-4x dS.
Where S is the triangular region with vertices
(4, 0, 0), (0, 2, 0) and (0,0, –1).
An equation of the plane in which the triangular
region lies is given by:
= Z
Σ
Therefore
• x2
Y2
-4x dS
Σ
dy dæ
where
Yı =
Y2 =
-4
Σ
X2 =
Σ
Evaluate
-4x dS =
M M M M
Transcribed Image Text:Evaluate the surface integral -4x dS. Where S is the triangular region with vertices (4, 0, 0), (0, 2, 0) and (0,0, –1). An equation of the plane in which the triangular region lies is given by: = Z Σ Therefore • x2 Y2 -4x dS Σ dy dæ where Yı = Y2 = -4 Σ X2 = Σ Evaluate -4x dS = M M M M
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