Consider the surface integral хуdS, where S is the surface z = x² + v8 y for 0 < x < 2 and 0 < y < 6. (a) The surface integral can be expressed as 6. 2 xyVg(x, y) dx dy, where g(x, y) is the function 02x + V8 02x + V8 + 1 02x + V8 y 02x + V8 y + 1
Consider the surface integral хуdS, where S is the surface z = x² + v8 y for 0 < x < 2 and 0 < y < 6. (a) The surface integral can be expressed as 6. 2 xyVg(x, y) dx dy, where g(x, y) is the function 02x + V8 02x + V8 + 1 02x + V8 y 02x + V8 y + 1
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:Consider the surface integral
хуdS,
where S is the surface z =
x² + v8 y for 0 < x < 2 and 0 < y< 6.
(a) The surface integral can be expressed as
2
xyVg(x, y) dx dy,
where g(x, y) is the function
02x + V8
02x + V8 + 1
02x + v8 y
02x + V8 y + 1
04x2 + 8
04x2 + 9
04x² + 8y²
04x2 + 8y² + 1
(b) The value of the surface integral is
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