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1. Let F = -yi + xj and let C be the unit circle oriented counterclockwise. (a) Show that F has constant magnitude on C. (b) Show that F is always tangent to the circle C. (c) Show that ¢ F dr = length of C.

1. Let F = -yi + xj and let C be the unit circle oriented counterclockwise. (a) Show that F has constant magnitude on C. (b) Show that F is always tangent to the circle C. (c) Show that ¢ F dr = length of C.

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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1. Let F = -yi + xj and let C be the unit circle oriented counterclockwise. (a) Show that F has constant magnitude on C. (b) Show that F is always tangent to the circle C. (c) Show that SF•dr = length of C.
Transcribed Image Text:1. Let F = -yi + xj and let C be the unit circle oriented counterclockwise. (a) Show that F has constant magnitude on C. (b) Show that F is always tangent to the circle C. (c) Show that SF•dr = length of C.
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