At the point LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2I1EhRictSShtZmVuY2VkR0YkNiQtRiM2Ji1JI21uR0YkNiRRIjJGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRictSSNtb0dGJDYtUSIsRidGOC8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdRJXRydWVGJy8lKXN0cmV0Y2h5R0ZBLyUqc3ltbWV0cmljR0ZBLyUobGFyZ2VvcEdGQS8lLm1vdmFibGVsaW1pdHNHRkEvJSdhY2NlbnRHRkEvJSdsc3BhY2VHUSYwLjBlbUYnLyUncnNwYWNlR1EsMC4zMzMzMzMzZW1GJy1GNTYkUSIzRidGOEY4RjhGO0Y4and in the direction 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 find the directional derivative of the function 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.
LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=
<Text-field style="Heading 1" layout="Heading 1">Solution by Directional Derivative Tutor</Text-field>JSFH
Control-drag the expression for LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEiZkYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy9GM1Enbm9ybWFsRic=Context Menu: Assign to a Name\342\211\273LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEiZkYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy9GM1Enbm9ybWFsRic=LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=Tools\342\211\273Tutors\342\211\273Calculus - Multi-Variable: Directional Derivatives
Enter LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEiZkYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy9GM1Enbm9ybWFsRic=, the point, and the direction vector
with(Student:-MultivariateCalculus):LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=
<Text-field style="Heading 1" layout="Heading 1">Solution from First Principles (Maple 14)</Text-field>LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=
Tools\342\211\273Tasks\342\211\273Browse: Calculus - Vector\342\211\273Vector Algebra and Settings\342\211\273Set Coordinates\342\211\273The More Common SystemsLUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=
The More Common Coordinate SystemsCartesian [x\134,y],Cartesian [x\134,y\134,z],Cartesian - other,polar,cylindrical,sphericaluse 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(q = %ComboBox5):
if q=Cartesian [x,y] then Do(%MathContainer187=MathML[Export]([x,y]));
elif q=Cartesian [x,y,z] then Do(%MathContainer187=MathML[Export]([x,y,z]));
elif q=Cartesian - other then Do(%MathContainer187=NULL);
elif q=polar then Do(%MathContainer187=NULL);
elif q=cylindrical then Do(%MathContainer187=NULL);
elif q=spherical then Do(%MathContainer187=NULL);
end if:
Do(%MathContainer188 = NULL);
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.
module()
local q,q1,q2,q3;
Do(q = %ComboBox5);
if q<>Cartesian [x,y] and q<> Cartesian [x,y,z] then Do(q1 = %MathContainer187);
if type([q1],'list'('list')) then q2:=q1;
elif type([q1],'list') then q2:=[q1];end if;
if q2=NULL then return;end if;
end if;
if q=Cartesian [x,y] then SetCoordinates(cartesian[x,y]);
elif q=Cartesian [x,y,z] then SetCoordinates(cartesian[x,y,z]);
elif q=Cartesian - other then if nops(q2)=3 then SetCoordinates(parse(StringTools:-Join(["cartesian",convert(q2,string)],""))) else return;end if;
elif q=polar then if nops(q2)=2 then SetCoordinates(parse(StringTools:-Join(["polar",convert(q2,string)],""))) else return;end if;
elif q=cylindrical then if nops(q2)=3 then SetCoordinates(parse(StringTools:-Join(["cylindrical",convert(q2,string)],""))) else return;end if;
elif q=spherical then if nops(q2)=3 then SetCoordinates(parse(StringTools:-Join(["spherical",convert(q2,string)],""))) else return;end if;
end if;
q3 := GetCoordinates();
Do(%MathContainer188 = MathML[Export]([op(0,q3),[op(q3)]]));
end module;
end use;
LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=Gradient at LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkobWZlbmNlZEdGJDYkLUYjNiYtSSNtbkdGJDYkUSIyRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLUkjbW9HRiQ2LVEiLEYnRjQvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHUSV0cnVlRicvJSlzdHJldGNoeUdGPS8lKnN5bW1ldHJpY0dGPS8lKGxhcmdlb3BHRj0vJS5tb3ZhYmxlbGltaXRzR0Y9LyUnYWNjZW50R0Y9LyUnbHNwYWNlR1EmMC4wZW1GJy8lJ3JzcGFjZUdRLDAuMzMzMzMzM2VtRictRjE2JFEiM0YnRjRGNEY0RjQ=Common Symbols palette: LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbW9HRiQ2LVEmJkRlbDtGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRjQvJSlzdHJldGNoeUdGNC8lKnN5bW1ldHJpY0dGNC8lKGxhcmdlb3BHRjQvJS5tb3ZhYmxlbGltaXRzR0Y0LyUnYWNjZW50R0Y0LyUnbHNwYWNlR1EmMC4wZW1GJy8lJ3JzcGFjZUdRLDAuMTExMTExMWVtRidGLw==-operatorContext Menu: Evaluate at a PointLUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=Direction vector u Matrix palette: Enter 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 as a column vector.Context Menu: Normalize\342\211\273EuclideanContext Menu: Assign to a Name\342\211\273uLUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=Directional DerivativeCommon Symbols palette: LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbW9HRiQ2LVEmJkRlbDtGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRjQvJSlzdHJldGNoeUdGNC8lKnN5bW1ldHJpY0dGNC8lKGxhcmdlb3BHRjQvJS5tb3ZhYmxlbGltaXRzR0Y0LyUnYWNjZW50R0Y0LyUnbHNwYWNlR1EmMC4wZW1GJy8lJ3JzcGFjZUdRLDAuMTExMTExMWVtRidGLw== and LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbW9HRiQ2LVEpJm1pZGRvdDtGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRjQvJSlzdHJldGNoeUdGNC8lKnN5bW1ldHJpY0dGNC8lKGxhcmdlb3BHRjQvJS5tb3ZhYmxlbGltaXRzR0Y0LyUnYWNjZW50R0Y0LyUnbHNwYWNlR1EsMC4xNjY2NjY3ZW1GJy8lJ3JzcGFjZUdGQ0Yv
Compute 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
LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=
<Text-field style="Heading 1" layout="Heading 1">Solution from First Principles (Maple 15)</Text-field>JSFH
Tools\342\211\273Tasks\342\211\273Browse: Calculus - Vector\342\211\273Vector Algebra and Settings\342\211\273Set CoordinatesJSFH
Set Coordinatesuse DocumentTools in
Do(%MathContainer3 = NULL);
Do(%MathContainer4 = NULL);
Do(%ComboBox1(enabled) = true);
Do(%ComboBox2(enabled) = false);
Do(%ComboBox3(enabled) = false);
Do(%Label0(enabled) = true);
Do(%MathContainer3(visible) = true);
SetProperty(Button3,enabled,true);
Do(%MathContainer4(visible) = true);
if Do(%ComboBox1) = Cartesian [x,y] then
Do(%MathContainer3 = MathML[Export]([x,y]));end if;
end use;
JSFHuse DocumentTools in
Do(%ComboBox1(enabled) = false);
Do(%ComboBox2(enabled) = true);
Do(%ComboBox3(enabled) = false);
Do(%Label0(enabled) = true);
Do(%MathContainer3(visible) = true);
SetProperty(Button3,enabled,true);
Do(%MathContainer4(visible) = true);
Do(%MathContainer3 = NULL);
Do(%MathContainer4 = NULL);
end use;
JSFHuse DocumentTools in
Do(%ComboBox1(enabled) = false);
Do(%ComboBox2(enabled) = false);
Do(%ComboBox3(enabled) = true);
Do(%Label0(enabled) = true);
Do(%MathContainer3(visible) = true);
SetProperty(Button3,enabled,true);
Do(%MathContainer4(visible) = true);
Do(%MathContainer3 = NULL);
Do(%MathContainer4 = NULL);
end use;
JSFHCartesian [x\134,y],Cartesian [x\134,y\134,z],Cartesian - other,polar,cylindrical,sphericaluse DocumentTools in
module()
local q;
Do(q = %ComboBox1):
if q=Cartesian [x,y] then Do(%MathContainer3=MathML[Export]([x,y]));
elif q=Cartesian [x,y,z] then Do(%MathContainer3=MathML[Export]([x,y,z]));
elif q=Cartesian - other then Do(%MathContainer3=NULL);
elif q=polar then Do(%MathContainer3=NULL);
elif q=cylindrical then Do(%MathContainer3=NULL);
elif q=spherical then Do(%MathContainer3=NULL);
end if:
Do(%MathContainer4 = NULL);
end module;
end use;
JSFHbipolar,cardioid,cassinian,elliptic,hyperbolic,invcassinian,logarithmic,logcosh,parabolic,rose,tangentuse DocumentTools in
Do(%MathContainer3 = NULL);
Do(%MathContainer4 = NULL);
end use;
JSFHbipolarcylindrical,bispherical,cardioidal,cardioidcylindrical,casscylindrical,conical,ellcylindrical,hypercylindrical,invcasscylindrical,logcylindrical,logcoshcylindrical,oblatespheroidal,paraboloidal,paracylindrical,prolatespheroidal,rosecylindrical,sixsphere,tangentcylindrical,tangentsphere,toroidaluse DocumentTools in
Do(%MathContainer3 = NULL);
Do(%MathContainer4 = NULL);
end use;
JSFHJSFHuse DocumentTools, VectorCalculus in
module()
local q,q1,q2,q3;
if Do(%RadioButton3) then
Do(q = %ComboBox1);
Do(q1 = %MathContainer3);
if type([q1],'list'('list')) then q2:=q1;
elif type([q1],'list') then q2:=[q1];end if;
if q2=NULL then return;end if;
if q=Cartesian [x,y] then q3 := parse(StringTools:-Join(["cartesian",convert(q2,string)],""));
elif q=Cartesian [x,y,z] then q3 := parse(StringTools:-Join(["cartesian",convert(q2,string)],""));
elif q=Cartesian - other then if nops(q2)=2 or nops(q2)=3 then q3:=(parse(StringTools:-Join(["cartesian",convert(q2,string)],""))) else return;end if;
elif q=polar then if nops(q2)=2 then q3:=(parse(StringTools:-Join(["polar",convert(q2,string)],""))) else return;end if;
elif q=cylindrical then if nops(q2)=3 then q3:=(parse(StringTools:-Join(["cylindrical",convert(q2,string)],""))) else return;end if;
elif q=spherical then if nops(q2)=3 then q3:=(parse(StringTools:-Join(["spherical",convert(q2,string)],""))) else return;end if;
end if;
Do(%MathContainer4 = MathML[Export]([op(0,q3),[op(q3)]]));
SetCoordinates(q3);
elif Do(%RadioButton1) then
Do(q = %ComboBox1);
Do(q1 = %MathContainer3);
if type([q1],'list'('list')) then q2:=q1;
elif type([q1],'list') then q2:=[q1];end if;
if q2=NULL then return;end if;
if nops(q2)<>2 then return; end if;
q3 := parse(StringTools:-Join([convert(q,string),convert(q2,string)],""));
Do(%MathContainer4 = MathML[Export]([op(0,q3),[op(q3)]]));
SetCoordinates(q3);
elif Do(%RadioButton2) then
Do(q = %ComboBox2);
Do(q1 = %MathContainer3);
if type([q1],'list'('list')) then q2:=q1;
elif type([q1],'list') then q2:=[q1];end if;
if q2=NULL then return;end if;
if nops(q2)<>3 then return; end if;
q3 := parse(StringTools:-Join([convert(q,string),convert(q2,string)],""));
Do(%MathContainer4 = MathML[Export]([op(0,q3),[op(q3)]]));
SetCoordinates(q3);
else return;
end if;
end module;
end use;
use DocumentTools, VectorCalculus in
Do(%RadioButton3 = true):
Do(%MathContainer3 = NULL):
Do(%MathContainer4 = NULL):
Do(%ComboBox1 = "Cartesian [x,y]"):
SetProperty(ComboBox1,enabled,false):
Do(%ComboBox2 = bipolar):
SetProperty(ComboBox2,enabled,false):
Do(%ComboBox3 = bipolarcylindrical):
SetProperty(ComboBox3,enabled,false):
SetProperty(Label0,enabled,false):
SetProperty(MathContainer3,visible,false):
SetProperty(MathContainer4,visible,false):
SetProperty(Button3,enabled,false):
SetCoordinates(cartesian);
end use;
JSFHGradient at LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkobWZlbmNlZEdGJDYkLUYjNiYtSSNtbkdGJDYkUSIyRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLUkjbW9HRiQ2LVEiLEYnRjQvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHUSV0cnVlRicvJSlzdHJldGNoeUdGPS8lKnN5bW1ldHJpY0dGPS8lKGxhcmdlb3BHRj0vJS5tb3ZhYmxlbGltaXRzR0Y9LyUnYWNjZW50R0Y9LyUnbHNwYWNlR1EmMC4wZW1GJy8lJ3JzcGFjZUdRLDAuMzMzMzMzM2VtRictRjE2JFEiM0YnRjRGNEY0RjQ=Common Symbols palette: LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbW9HRiQ2LVEmJkRlbDtGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRjQvJSlzdHJldGNoeUdGNC8lKnN5bW1ldHJpY0dGNC8lKGxhcmdlb3BHRjQvJS5tb3ZhYmxlbGltaXRzR0Y0LyUnYWNjZW50R0Y0LyUnbHNwYWNlR1EmMC4wZW1GJy8lJ3JzcGFjZUdRLDAuMTExMTExMWVtRidGLw==-operatorContext Menu: Evaluate at a PointJSFHDirection vector u Matrix palette: Enter 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 as a column vector.Context Menu: Normalize\342\211\273EuclideanContext Menu: Assign to a Name\342\211\273uJSFHDirectional DerivativeCommon Symbols palette: LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbW9HRiQ2LVEmJkRlbDtGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRjQvJSlzdHJldGNoeUdGNC8lKnN5bW1ldHJpY0dGNC8lKGxhcmdlb3BHRjQvJS5tb3ZhYmxlbGltaXRzR0Y0LyUnYWNjZW50R0Y0LyUnbHNwYWNlR1EmMC4wZW1GJy8lJ3JzcGFjZUdRLDAuMTExMTExMWVtRidGLw== and LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbW9HRiQ2LVEpJm1pZGRvdDtGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRjQvJSlzdHJldGNoeUdGNC8lKnN5bW1ldHJpY0dGNC8lKGxhcmdlb3BHRjQvJS5tb3ZhYmxlbGltaXRzR0Y0LyUnYWNjZW50R0Y0LyUnbHNwYWNlR1EsMC4xNjY2NjY3ZW1GJy8lJ3JzcGFjZUdGQ0Yv
Compute 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