I have two simple implicitly defined curves: 0.5y^2-x-3 = 0 and x+y=1. I would like to plot these curves implicitly and shade the region enclosed by them. I've tried using the plots:-implicitplot( ) as shown, but I can't get just the enclosed region to be shaded. I know how to acheive this using the explicit equations. I am looking for an implicitplot solution, assuming there is one.
 

Download shade_implicitplot.mwshade_implicitplot.mw

I recently got a question answer regarding drawing a weighted digraph. That got me thinking about more "complicated" networks, i.e., electrical networks. Is it possible to draw the following electrical network in Maple? I know it can be done quite easily in MapleSim, but how about Maple?

I am trying to create the image shown below in Maple.

I am able to created the nodes and edges fairly easily. I would like to know how to add the labels to each edge, formatted as shown, and more importantly, have the edges decorated with the arrows, also as shown. I've tried playing around with digraphs, but I'm not really getting the desired look. I've attached my attempt and welcome any suggestions as to how to improve what I've done so far, as well as achieve my goal.

network.mw

I have intervals A=(-infinity,7), B=(-10,25), and C=(15,infinity). How do I use Maple to perform the union and intersection of such intervals?

I am trying to customize the Venn Diagram generated by the VennDiagram command in the Statistics package. I would like to be able to shade just any of the regions. For example, if only two sets (A and B) are being displayed, I would like to be able to shade just A, just B, both A and B, or both A and/or B. Also, is it possible to have a rectangle surrounding the circles which represents the universal set? Could the circles be labeled with the letter "A" or "B" to be able to identify each set?

venn.mw