Consider the surface integral f(x, y, z) dS.(a) If is a parametric surface whose vector
Chapter 15, Problem 1(choose chapter or problem)
Consider the surface integral \(\iint \limits_{\sigma}(x,y, z) d S\).
(a) If \(\sigma\) is a parametric surface whose vector equation is
\(r=x(u, v) i+y(u, v) j+z(u, v) k\)
to evaluate the integral replace dS by _______.
(b) If \(\sigma\) is the graph of a function \(z = g(x, y)\) with continuous first partial derivatives, to evaluate the integral replace dS by _______.
Equation Transcription:
σ
r = x(u, v)i + y(u, v)j + z(u, v)k
z = g(x, y)
Text Transcription:
Double Integral_Sigma (x,y,z) dS
Sigma
r = x(u, v)i + y(u, v)j + z(u, v)k
z = g(x, y)
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