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Thanks for your response! It took me a long time to work through all the lessons but I enjoyed this course. |
&[Wolfram Notebook][1] [1]: https://www.wolframcloud.com/obj/2afe1f54-ca17-4a93-92fc-86310515da1c |
The vector field is just a sample, I came to that formula following a false trail that it is embarassing to recall. The Pi/10 simpliy means that I divide the interval between 0 and 2Pi into 20 parts. |
Dear Mitch: We used 'analytical' essentially meaning that there was a closed formula for it, particularly in the numerical evaluation lesson to distinguish between the two. The parameter s, in the integral definition of the Laplace transform is... |
Thanks so much for your assistance. Mitch Sandlin |
You have two problems. First, the form of your region. You have this: ParametricRegion[{Cos[t]*(Sin[4 t] + 2), Sin[t]}, {t, 0, 2 \[Pi]}] `ParametricRegion` isn't like `Table` where you have an iterator. That last term should be a list of... |
Correct syntax should be: LineIntegrate[{2 x y, x^2 + y^2}, {x, y} \[Element] ImplicitRegion[{x^2/25 + y^2/16 == 1, 0 |
Thank you - I will study the notebook. |
e vs E: https://reference.wolfram.com/language/ref/E.html |
Thanks, your response helped. As an aside, I am not sure where the word differential came from, and you are correct in that my request really has nothing to do with differential equations. Thanks Again, Mitch Sandlin |