No, it's not a parabola. It's a quartic...
Find the volume of the solid obtained by ratating the region bounded by the given curves about the specified line. Sketch the region, the solid, and a typical disk or washer.
y = x^4, y = 1; about y = 2
I get that it's a parabola bounded by y = 1... I see that on my graph. And then it's supposed to rotate forward about the x-axis, not sideways right?
But y = 2? So it's 2 unit's shifted upward?
I can't figure this out. Need some
The problem says that you're rotating about y=2. So your washer has an inner radius of 1 and an outer radius of 2-x^4. So you integrate from x=-1 to x=1, pi times (outer radius squared - inner radius squared) dx.
I never showed my work. It's strange you said it was a strange response :|
I had been working on this problem for a long time last night. And was tired by the time I went to sleep. Woke up right now and started working on the problem again. Turns out it was arithmetic mistakes after integrating. I was tired, I couldn't think.