15.1 Functions of Several Variables

Plot3D[Sin[(Sqrt[(x^2)+(y^2)])],{x,-2π,2π},{y,-2π,2π},AxesLabel->{"x","y","z"}, PlotPoints->50]

ContourPlot[Sin[(Sqrt[(x^2)+(y^2)])],{x,-2π,2π},{y,-2π,2π},AxesLabel->{"x","y"},PlotPoints->50,ContourShading->False]

Plot3D[(1/((x^2)+4(y^2))),{x,-3,3},{y,-3,3}, PlotRange->{0,20},AxesLabel->{"x","y","z"},BoxRatios->Automatic,PlotPoints->50]

ContourPlot[(1/((x^2)+4(y^2))),{x,-3,3},{y,-3,3}, PlotPoints->50,ContourShading->False]

Plot3D[Sin[x]Sin[y],{x,-2π,2π},{y,-2π,2π}, AxesLabel->{"x","y","z"},PlotPoints->50]

ContourPlot[Sin[x]Sin[y],{x,-2π,2π},{y,-2π,2π},PlotPoints->50,ContourShading->False]

Plot3D[(x^2)(y^2)(E^(-(x^2)-(y^2))),{x,-4,4},{y,-4,4}, PlotRange->{0,.2},AxesLabel->{"x","y","z"},PlotPoints->50]

ContourPlot[(x^2)(y^2)(E^(-(x^2)-(y^2))),{x,-4,4},{y,-4,4},PlotPoints->50,ContourShading->False]

Plot3D[(x^3)-3x (y^2),{x,-1,1},{y,-1,1},AxesLabel->{"x","y","z"},BoxRatios->Automatic, PlotPoints->50]

ContourPlot[(x^3)-3x (y^2),{x,-1,1},{y,-1,1},PlotPoints->50,ContourShading->False]

Plot3D[((Sin[x])^2)+(1/4)(y^2),{x,-2π,2π},{y,-4,4}, AxesLabel->{"x","y","z"},PlotPoints->50]

ContourPlot[((Sin[x])^2)+(1/4)(y^2),{x,-2π,2π},{y,-4,4},PlotPoints->50,ContourShading->False]