# how to control the limits of two variables in manipulate

This is my code.

myPlot[a_, b_] := ParametricPlot3D[Sin[x], {x, a, b}];

Manipulate[Show[myPlot[a, b]], {a, -1, 1}, {b, -1, 1}]


I want to manipulate a,b, so that the entire plot will change as we change a,b. However there are errors. Do you know how to fix it ? Thanks

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## 2 Answers

myPlot[a_, b_] := ParametricPlot3D[{1, x, Sin[x]}, {x, a, b}];

Manipulate[Show[myPlot[a, b]], {{a, -1}, -1, Pi}, {{b, 1}, -1, Pi}] The errors occur whenever a==b since the domain of the plot is just a point which is not allowed. Consequently, you must handle a==b as a special case. It also helps to fix the PlotRange.

myPlot[a_, b_] := ParametricPlot3D[
{1, x, Sin[x]}, {x, a, b},
PlotRange -> {{0, 2}, {-1, Pi}, {-1, 1}}];

Manipulate[
Piecewise[{
{Graphics3D[
Point[{1, a, Sin[a]}],
Axes -> True,
PlotRange -> {{0, 2}, {-1, Pi}, {-1, 1}}],
a == b}},
myPlot[a, b]],
{{a, -1}, -1, Pi, Appearance -> "Labeled"},
{{b, 1}, -1, Pi, Appearance -> "Labeled"}] 