Let f(x, y)= 8x cos (y). Find the conservative vector field F, which is the gradient of f. (Give your answer using component form or standard basis vectors. Express numbers in exact form. Use symbolic notation and fractions where needed.) F= Evaluate the line integral of F over the upper half of the unit circle centered at the origin, oriented counterclockwise. (Give an exact answer. Use symbolic notation and fractions where needed.) [ F. dr =

Let f(x, y)= 8x cos (y). Find the conservative vector field F, which is the gradient of f. (Give your answer using component form or standard basis vectors. Express numbers in exact form. Use symbolic notation and fractions where needed.) F= Evaluate the line integral of F over the upper half of the unit circle centered at the origin, oriented counterclockwise. (Give an exact answer. Use symbolic notation and fractions where needed.) [ F. dr =

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter3: Functions And Graphs

Section3.3: Lines

Problem 22E

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