Recent content by false_alarm

Hey I just figured it out. The first time i did it i made a really small error in the beginning that made it unsolvable. Thanks anyways. In case your wondering though, y=(-1/2)x+(1/2)

y'-y=(1/2)x-1 (1/2)x-1=g(x) y'-y=g(x)...linear form d(x)y'-s(x)y=(d(x)y)'...product rule only works if d(x)'=s(x) the only function that is its own integral, that i could think of, is e^{x} but since the y is negative, it would have to be e^{-x} so then...

I just used the basic linear form, got an integrating factor, and then just took the antiderivative of what was left

I know this looks really easy, but trying to solve this is amazingly difficult. I couldn't do it, i kept getting wrong answers. Any body got any idea how to solve this?

Mean Value Theorem to calculate solids of revolution? Ive been studying calculus on my own because my school doesn't offer it and i came across solids of revolution tonight. In one of the problems it says "What is the volume of the solid formed by rotating y=e^x across the x-axis between...