Recent content by frumdogg

I knew that.. long day.

Homework Statement Find the volume of the solid generated by revolving the region bounded by the graph of y = x3 and the line y = x, between x = 0 and x = 1, about the y-axis. Homework Equations \pi\overline{1}\int\underline{0}[R(x)^{2}-[r(x)]^{2}dx The Attempt at a Solution...

Ok, probably a silly question now, but how did you get from sinx to sin^2x?

I have learned it is best to throw out the portion of the equation with the n in the denominator. Makes it less messier.

Homework Statement Use the integration capabilities of a graphing utility to approximate the approximate the volume of the solid formed by revolving the region bounded by the graphs of y = sin x and y 0 in the interval [0, \pi] about the y-axis. Round your answer to three decimal places...

The problem says y=x^3 y=1 x=2 When graphing it, it's a small area with x^3 on the left, y=1 on top, x=2 on right, and x-axis on bottom, at least what I am coming up with.

Yes, rotating around the x-axis.

Homework Statement Find the volume of a solid formed by revolving the region bounded by graphs of: y=x^3 y=1 and x=2 Homework Equations \pi0\int2(x^3)dx The Attempt at a Solution x^7/7 with boundaries of [0,2] Am I on the right path?

It's so easy to forget the C at the end.

f '(x) = 2x, then f(x) = x^2 f '(x) = 9x^-4, then f(x) = 9x^-3/-3 correct?

That is sort of how I figured that it would work. My derivative skills are giving me the most trouble at this point.

1- 2x -4\sqrt{x}+\frac{5}{x}-\frac{8}{1+x^{2}}+\frac{9}{x^{4}}

So basically the definition of an antiderivative is the oppositive of the derivative? Wait, I did not just type that last sentence. =)

Homework Statement Hi everyone. My Calc 1 final exam is tomorrow and due to some weather related issues we were not able to cover all material for this quarter. With that said, my professor gave us a take home quiz on material that was unable to be covered. I have done by best, but I...

Homework Statement Hi everyone. My Calc 1 final exam is tomorrow and due to some weather related issues we were not able to cover all material for this quarter. With that said, my professor gave us a take home quiz on material that was unable to be covered. I have done by best, but I...