Work or CirculationThe Line Integral of the Tangential Component of a Vector FieldLUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=
<Text-field style="Heading 1" layout="Heading 1">Problem 8-2</Text-field>LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=
Obtain the line integral of the tangential component of the vector 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 the polygonal path connecting the points 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.
LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=
<Text-field style="Heading 1" layout="Heading 1">Solution via Task Template</Text-field>LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=
Matrix palette: Enter LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2J1EiRkYnLyUlYm9sZEdRJXRydWVGJy8lJ2l0YWxpY0dRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJWJvbGRGJy8lK2ZvbnR3ZWlnaHRHRjcvRjZRJ25vcm1hbEYn as a column vector. Press the Enter key.LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=Matrix palette: Enter sequence of column vectors that represent nodes on polygonal pathPress the Enter key.LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=Tools\342\211\273Tasks\342\211\273Browse: Calculus - Vector\342\211\273Integration\342\211\273Line Integrals\342\211\273In 2-D\342\211\273Along a Polygonal 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
TTdSMApJNlJUQUJMRV9TQVZFLzEzNjkwMDYyNFgqJSlhbnl0aGluZ0c2IjYkJSx2ZWN0b3JmaWVsZEcvJSdjb29yZHNHJiUqY2FydGVzaWFuRzYkJSZfX3hfX0clJl9feV9fR1tnbCEjJSEhISIjIiMqJEYtIiIjKiRGLkYwNiI=LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=
<Text-field style="Heading 1" layout="Heading 1">Solution from First Principles</Text-field>
Tools\342\211\273Load Package: Vector CalculusLUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=Tools\342\211\273Tasks\342\211\273Browse: Calculus - Vector\342\211\273Vector Algebra and Settings\342\211\273Display-Format for VectorsLUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=
Display-Format for Vectorsuse DocumentTools in
# Enter Maple commands to be executed when the specified
# action is carried out on the component.
# Use:
# Do( %component_name );
# and
# Do( %component_name = value );
# to set and get properties of the component.
# You can also use arbitrary expressions
# involving components, e.g.:
# Do( %target = %input1 + 2*%input2 );
# Note the %-prefix to each component name.
# See ?CustomizingComponents for more information.
module()
local q;
Do(%RadioButton0(visible)=true);
Do(%RadioButton1(visible)=true);
Do(%Button1(visible)=true);
q := VectorCalculus:-BasisFormat();
if q=false then Do(%RadioButton0 = true);
else Do(%RadioButton1 = true);
end if;
end module;
end use;
use DocumentTools, VectorCalculus in
# Enter Maple commands to be executed when the specified
# action is carried out on the component.
# Use:
# Do( %component_name );
# and
# Do( %component_name = value );
# to set and get properties of the component.
# You can also use arbitrary expressions
# involving components, e.g.:
# Do( %target = %input1 + 2*%input2 );
# Note the %-prefix to each component name.
# See ?CustomizingComponents for more information.
if Do(%RadioButton0) then BasisFormat(false);
else BasisFormat(true); end if;
end use;
use DocumentTools, VectorCalculus in
# Enter Maple commands to be executed when the specified
# action is carried out on the component.
# Use:
# Do( %component_name );
# and
# Do( %component_name = value );
# to set and get properties of the component.
# You can also use arbitrary expressions
# involving components, e.g.:
# Do( %target = %input1 + 2*%input2 );
# Note the %-prefix to each component name.
# See ?CustomizingComponents for more information.
if Do(%RadioButton1) then BasisFormat(true);
else BasisFormat(false); end if;
end use;
use DocumentTools,VectorCalculus in
# Enter Maple commands to be executed when the specified
# action is carried out on the component.
# Use:
# Do( %component_name );
# and
# Do( %component_name = value );
# to set and get properties of the component.
# You can also use arbitrary expressions
# involving components, e.g.:
# Do( %target = %input1 + 2*%input2 );
# Note the %-prefix to each component name.
# See ?CustomizingComponents for more information.
if Do(%RadioButton0) then BasisFormat(false);
else BasisFormat(true); end if;
Do(%RadioButton0(visible)=false);
Do(%RadioButton1(visible)=false);
Do(%Button1(visible)=false);
end use;
LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=Vector Field 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Line 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