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2. State Stoke's Theorem. Let F = (az+ f(x))i + (bz + g(y))j+ (ax + by + h(z))k, where a andb are fixed constants and f, g, h are continuously differentiable. Let C = as where C is a simple closed curve that describes the boundary of a piecewise smooth %3D orientable surface. What can you say about . F dr ?

2. State Stoke's Theorem. Let F = (az+ f(x))i + (bz + g(y))j+ (ax + by + h(z))k, where a andb are fixed constants and f, g, h are continuously differentiable. Let C = as where C is a simple closed curve that describes the boundary of a piecewise smooth %3D orientable surface. What can you say about . F dr ?

Advanced Engineering Mathematics
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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2. State Stoke's Theorem. Let F = (az + f(x))i + (bz + g(y))j+ (ax + by + h(z))k, where a and bare fixed constants and f, g, h are continuously differentiable. Let C = as where C is a simple closed curve that describes the boundary of a piecewise smooth orientable surface. What can you say about . F. dr ?
Transcribed Image Text:2. State Stoke's Theorem. Let F = (az + f(x))i + (bz + g(y))j+ (ax + by + h(z))k, where a and bare fixed constants and f, g, h are continuously differentiable. Let C = as where C is a simple closed curve that describes the boundary of a piecewise smooth orientable surface. What can you say about . F. dr ?
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