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Revolve the region bounded by y=x+2, y=x^2, about the x-axis I'm going to use the shell method, so i understand this will be in terms of y, so x=y-2, x=sqrt(y). I understand the formula is, V=2pi *integral from a to b of (radius of shell)(height of shell)dy What i'm getting confused on is the...

Not sure where to put this question...but here goes. Prove by contradiction. If k is an even number, then k+2 is an even number. I know from definitions that k is an even number if k=2n, and k is an odd number if k=2n+1 for any integer n. So, the layout of the proof is to be: Definition...

I'm an econ major finishing up my sophomore year . I'm in calc 1. I am having trouble starting the problem Problem: The intensity of light, such as the sun’s rays, depends on the angle at which the light meets the surface of the ground. The amount of illumination is proportional to the...