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3. Consider a square C in thecz plane of R³ with vertices (0, 0, 0), (1, 0, 0), (1, 0, 1), (0, 0, 1), oriented counterclockwise as seen from the positive y-axis, and a vector field F(x, y, z) given by a F(x, y, z) = (x+z+a)i + (3a)j + (x + 2) k whose components depend on some real value a € R.

3. Consider a square C in thecz plane of R³ with vertices (0, 0, 0), (1, 0, 0), (1, 0, 1), (0, 0, 1), oriented counterclockwise as seen from the positive y-axis, and a vector field F(x, y, z) given by a F(x, y, z) = (x+z+a)i + (3a)j + (x + 2) k whose components depend on some real value a € R.

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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Calculate the line integral F·dr for a = 0

3. Consider a square C' in the plane of R³ with vertices (0, 0, 0), (1, 0, 0), (1, 0, 1), (0, 0, 1), oriented counterclockwise as seen from the positive y-axis, and a vector field F(x, y, z) given by F(x, y, z) = (x+z+a)i + (3a)j + (x + 2) k whose components depend on some real value a € R.
Transcribed Image Text:3. Consider a square C' in the plane of R³ with vertices (0, 0, 0), (1, 0, 0), (1, 0, 1), (0, 0, 1), oriented counterclockwise as seen from the positive y-axis, and a vector field F(x, y, z) given by F(x, y, z) = (x+z+a)i + (3a)j + (x + 2) k whose components depend on some real value a € R.
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