how would I graph this? I'm getting killed by the boundaries on these triple integrals and trying to visualize these graphs without a calculator or any sort of help. for example, how would you get the boundaries from this problem with a graphing software such as maple?
:::Problem::::
evaluate the triple integral where E is bounded by the cylinder y^2 + z^2 = 16, and the planes x = 0, y = (4/3) x , and z = 0.
I see graphs like this for the problem above that look like my first attachment. The closest I've come is entering it in maple like I've shown in my 2nd attachment for this problem, but why doesn't my graph look like the random professors graph from the web? Mine doesn't have any curves or contours, it's just rigid useless lines. What is their secret?
I take back the maple only request but if you guys know ANY software where I can successfully enter problems like the above in to visualize them would greatly help me out. In a way I'm looking at larger picture because I want to know how to graph any set of equations, planes, functions in one graph regardless of if there's a x, y, z etc, but this problem would certainly help in getting there.
please help lol.
-Travis