Suppose f = sin(x - 2y), and the vector field F = ∇f. Find the following curves: C1, which is not closed and has the property that  ∫ F • dr = 0 C2, which has the property that ∫ F • dr = 1

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.6: Additional Trigonometric Graphs
Problem 78E
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Suppose f = sin(x - 2y), and the vector field F = ∇f.

Find the following curves:

  • C1, which is not closed and has the property that  ∫ F • dr = 0
  • C2, which has the property that ∫ F • dr = 1
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