"find the volume of a solid generated by revolving about the line y=1 the region in the first quadrant bounded by the parabolas 3x^2-16y=0 and x^2-16y+96=0 and the y axis."
The caveat here is I have dysgraphia and need to conceptualize this without manually drawing graphs if at all possible. Currently the easier problems in the section take me 30-45 minutes to graph, etc.
Second problem is:
"Find the volume of a solid generated by revolving the region in the first quadrant bounded by the curve y^3=x^4 and the X axis" with part A being revolving the region around the line x=8 and part B around the line Y=16.
In particular, I'm not sure where my limits of integration are coming from nor where, in the part B, the example problem has a constant squared.
We didn't work this level of problems in class and I'll be bothering my instructor about these ( previous lesson had some surprise problems too! ). Our textbook is completely and totally useless as well. ( They did one semester of calc 1s on it, then rolled it out. So this semester is the only calc 2 class in it and the next the only calc 3 class )