Hullo.

I am new to Sage, but am hoping that Sage will provide a good alternative to 
Maple, and MatLab; and that I can use Sage in my new job.

Basically, I am now a solution author for Chegg and will be writing solutions 
for Calculus and Analysis textbooks mainly. For my 1st assignment, I need to be 
able to draw various regions (domains) to aid in setting up iterated integrals 
in rectangular and polar coordinates (and eventually spherical and cylcindrical 
coordinates as well).


Right now, I have 2 questions. 

(1) I need to use Sage to graph three-fourths of a circle with radius = 4 (from 
0 to 3*pi/2). Then I also need for the area between this arc and the x-axis 
(for Quadrants 1 and 2) and the y-axis (for Quadrant 3) to be shaded and I need 
x and y labels for the coordinate system.

(2) I need to be able to draw a region D, where D is a triangular region with 
vertices (0,0), (2,1), (0,3).

I have literally just started using Sage (and am not *terribly* efficient with 
MatLab, and Maple) and need some help here. Thanks,

-Michael D

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