2 Piįlux VectorField x, y, z, Surface r, s, t, s, t = Circle 0, 0, 2įlux VectorField x, y, z, Surface 2, s, t, s, t = Circle 0, 0, 2įlux VectorField y, − x, 0, Surface s, t, s 2 + t 2, s = 0. įlux VectorField x, y, z, Surface r, s, t, s = 0. For more information about specifying a caption, see plot/typesetting. caption = "" disables the default caption. The default caption is constructed from the parameters and the command options. For more information, see plot3d/option or plot/options.
#DO YOU GET OUTWARD FLUX FROM FLUX INTEGRAL FREE#
Free Vectors and rooted Vectors are plotted using plots. For more information on plotting options, see plot/options. The default value is the empty string.Ī list of plot options for plotting the normal vectors. Ī list of plot options for plotting the surface. The field is plotted using a call to plots or plots, so options valid for these commands can be passed in this option.Ī list of plot options for plotting the path. A list of plot options for plotting the Vector field.
Ī list of plot options for plotting the Vector field. Plot options are ignored if output = integral. Output = integral returns the inert representation of the line integral. In 3-D, plots are available for the regions Surface (with two explicit ranges), Sphere and Box. In 2-D, plots are available for the regions Path, Circle, LineSegment and Line. Output = plot returns a plot of the path, normal vectors of the path, and vector field. Plot options are ignored if output = value. Output = value returns the value of the line integral. This option controls the return value of the command. The options arguments primarily control plot options. The normal is taken Pi/2 to the right of the tangent vector that points in the direction of increasing parameter. If no parameter name is specified in range, it is inferred from v. The second parameter, range, must have type. The first parameter, v, is a Vector representing the components of the path. The path is the collection of line segments directed from p1 to p2, p2 to p3. Similar to Line ( p1, p2 ), the parameters pi represent the endpoints of k − 1 line segments. The normal is taken Pi/2 to the right of the direction of the directed line segment. They represent the endpoints of the directed line segment from p1 to p2. The parameters p1 and p2 must have type 'Vector'(algebraic). The parameter radius is the radius of the circle and must have type algebraic. The parameter center is the center of the circle and must have type 'Vector'(algebraic). The normal vector is the cross-product of the derivatives of v.
Name1 = range1, name2 = range2 This explicitly specifies the ranges for the two parameters. = region ( arguments ) where region' is any two-dimensional region that Student accepts: Circle, Ellipse, Rectangle, Region, Sector, or Triangle.
The first argument, v, must have type 'Vector'(3, algebraic). The optional third argument, direction, specifies the direction of the normal vector.
These represent the center and radius of the sphere, respectively. The first parameter of Sphere, center, must have type 'Vector'(3, algebraic) and radius must have type algebraic. The optional fourth argument, direction, specifies the direction of the normal vector. The integral is taken over each face of the box. Įach ri must have type algebraic.algebraic. The curves are Circle, Line, LineSegments, and Path. The surfaces are Box, Sphere, and Surface. Specify the surface or curve dom using unevaluated function calls. The Flux ( f, dom ) calling sequence computes the flux of the vector field f through the surface (3-D) or curve (2-D) specified by dom. (optional) equation(s) of the form option = value where option is one of output, fieldoptions, pathoptions, surfaceoptions, title, vectoroptions, or view Unevaluated function call specify the surface or curve \) through the square with side length 2.įirst we need to parameterize the equation of the curve.'Vector'(algebraic) or Vector-valued procedure specify the vector field
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