Discussion Overview
The discussion revolves around troubleshooting the plotting of two polar curves, specifically r = √3 cos(θ) and r = sin(θ), in Mathematica. Participants explore issues related to the software's output and the correct syntax for plotting these functions.
Discussion Character
- Homework-related
- Technical explanation
- Exploratory
Main Points Raised
- One participant reports that Mathematica only plots one of the curves when using the command PolarPlot[{sqrt(3) Cos[t]}, {t, 0, 2 Pi}].
- Another participant suggests that Mathematica may not recognize sqrt(3) and recommends using PolarPlot[{Sqrt[3] Cos[t]}, {t, 0, 2 Pi}].
- A later reply indicates that the range of t matters, noting that PolarPlot[{Sqrt[3] Cos[t]}, {t, -Pi, Pi}] works better.
- One participant clarifies that they are trying to plot both curves together and not just one.
- Another participant successfully plots both curves using PolarPlot[{Sqrt[3] Cos[t], Sin[t]}, {t, 0, 2 Pi}].
Areas of Agreement / Disagreement
Participants express differing experiences with the plotting commands, and while some solutions are proposed, there is no consensus on a single correct approach until the final command is confirmed to work by one participant.
Contextual Notes
There are unresolved issues regarding the recognition of certain functions and the importance of the range of t in the plotting commands.