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question figure gives a sketch of the velocity vector field frarr yirarr xjrarr in the xy-planea what is the
question a vortex that rotates at constant angular velocity omega about the z-axis has velocity vector field vrarr
question a large fire becomes a fire-storm when the nearby air acquires a circulatory motion the associated updraft has
question decide whether the vector field appears to have nonzero curl at the origin the vector field is shown in the
question a vector field is a point source at the origin in 3-space if its direction is away from the origin at every
question a fluid is flowing along a cylindrical pipe of radius a in the direction the velocity of the fluid at a
question a basic property of the electric field erarr is that its divergence is zero at points where there is no charge
question a a river flows across the xy-plane in the positive x-direction and around a circular rock of radius 1
question the flux of the constant vector field airarr bjrarr ckrarr through the square of side 2 in the plane x 5
question a find the flux of the given vector field out of a cube in the first octant with edge length c one corner at
question as a result of radioactive decay heat is generated uniformly throughout the interior of the earth at a rate of
question assume rrarr 0 let frarr rrarrrrarr3a calculate the flux of frarr out of the unit sphere x2 y2 z2 1
question find the flux of the vector field through the surface s1 frarr xirarr through a square of side 3 in the
question a find divrrarr rrarr2 where r xirarr yjrarrfor rrarr 0 b can you use the divergence theorem to compute the
question let div frarr 26 - x and 0 le a b c le 10a find the flux of frarr out of the rectangular solid 0 le x le a 0
question electric charge produces a vector field erarr called the electric field which represents the force on a unit
question due to roadwork ahead the traffic on a highway slows linearly from 55 mileshour to 15 mileshour over a
question the velocity field vrarr in problem does not give a complete description of the traffic flow for it takes no
question let px y z be the pressure at the point x y z in a fluid let frarr x y z px y zkrarr let s be the surface of
question calculate the flux of the vector field through the surface1 frarr xirarr 2yjrarr 3zkrarr and s is a square
question find the flux of the constant vector field vrarr irarr - jrarr 3krarr through the given surface1 a disk of
question a describe the surface given parametrically by the equationsx coss - t y sins - t z s tb describe the two
question parameterize a cone of height h and maximum radius a with vertex at the origin and opening upward do this in
question 1 parameterize the plane containing the three points 5 5 5 10 -10 10 0 20 402 find parametric equations for
question the base of a cone is the unit circle centered at the origin in the xy-plane and vertex p a b c where c gt 0a