Homework Statement
Determine if the following function is continuous: f(x) = (x-iy)/(x-1)
Homework Equations
How do find out if a function is continuous without graphing it and without a point to examine? I know I've learned this, probably in pre-calculus too, but I'm blanking
The Attempt at...
I struggled to sketch it myself so I ended up using a software and plotted the parabaloid with the two y= planes. I'm not really sure where to go from there, all the examples we've done thus far have had at least 1 non zero intercept.
Homework Statement
Find the volume of the solid enclosed by the paraboloid z=x^2 + 3y^2 and the planes x=0, y=x, y=1, z=0
Homework Equations
I'm not really sure what's getting me about this, but I'm not really sure how to proceed after finding the x, y, and z intercepts...
The Attempt at a...