Write True if the statement is always true. Otherwise, write False. (a) Any sphere with radius 2 has equation p= 2 in spherical coordinates. (b) There is a function o such that Vo (ry.r2+ :.y). %3D (c) If-C denotes the curve C traced in the opposite direction, then: L(a.u) ds = (r, y) ds. (d) If there is one closed path C such that F dR = 0, then F is a conservative vector field. (c) Stokes' Theorem relates the flux of a vector field F across a surface S with the line integral of Fon the boundary curve of S.

Write True if the statement is always true. Otherwise, write False. (a) Any sphere with radius 2 has equation p= 2 in spherical coordinates. (b) There is a function o such that Vo (ry.r2+ :.y). %3D (c) If-C denotes the curve C traced in the opposite direction, then: L(a.u) ds = (r, y) ds. (d) If there is one closed path C such that F dR = 0, then F is a conservative vector field. (c) Stokes' Theorem relates the flux of a vector field F across a surface S with the line integral of Fon the boundary curve of S.

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter11: Topics From Analytic Geometry

Section11.4: Plane Curves And Parametric Equations

Problem 53E

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