The vector field F is shown in the xy-plane and looks the same in all other horizontal planes. (In other words, F is independent of z and its z-component is 0.) y (a) Is div(F) positive, negative, or zero at P? Explain. div(F) is --Select---because the vectors that start near P are --Select--- (b) Determine whether curl(F) = 0. If not, in which direction does curl(F) point at P? O curl(F) 0. At P the curl(F) points in the direction of positive x. O curl(F) = 0. At P the curl(F) points in the direction of negative x. O curl(F) + 0. At P the curl(F) points in the direction of positive y. O curl(F) 0. At P the curl(F) points in the direction of negative y. O curl(F) 0. At P the curl(F) points in the direction of positive z. O curl (F) + 0. At P the curl(F) points in the direction of negative z. O curl(F) = 0 those that end near P.

The vector field F is shown in the xy-plane and looks the same in all other horizontal planes. (In other words, F is independent of z and its z-component is 0.) y (a) Is div(F) positive, negative, or zero at P? Explain. div(F) is --Select---because the vectors that start near P are --Select--- (b) Determine whether curl(F) = 0. If not, in which direction does curl(F) point at P? O curl(F) 0. At P the curl(F) points in the direction of positive x. O curl(F) = 0. At P the curl(F) points in the direction of negative x. O curl(F) + 0. At P the curl(F) points in the direction of positive y. O curl(F) 0. At P the curl(F) points in the direction of negative y. O curl(F) 0. At P the curl(F) points in the direction of positive z. O curl (F) + 0. At P the curl(F) points in the direction of negative z. O curl(F) = 0 those that end near P.

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter3: Functions And Graphs

Section3.3: Lines

Problem 31E

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