Recent content by nick.martinez

Yes ray vickson those are the bounds and it is being rotated about the y=-1. It would be appreciated.

Is it wrong to use the disk method here and use "integral" ( x^3+1)dx as my radius and multiplying it by pi and evaluating it from -1 to 1. I'm getting the correct answer when I use this method which

So basically I set the integral up like this using your method integrating from -1 to 1. (X^3)^2-(-1)^2 and when I takin the anti derivative I get pi((x^7)/7)-x after I evaluate I get -6pi /7. I'm getting the right answer using my method.

Y=x^3 ; y=-1 x=1 ; axis; y=-1

Homework Statement Find the volume of the solid rotated about the given axis Homework Equations ∫R^2-r^2dx Disk method The Attempt at a Solution I'm having trouble finding the limits of integration: here's my setup Pi∫(x^3+1)dx and integrated from -1 to 1. I got this by setting...

What defines an inner and outer radius in this problem?

Then whe I evaluate I from -1 to 1 I get 12pi/7 which is wrong

How can I find the lower limit? Here's my attempt: ∫(X)^3-(1)^2dx

i used the disk method here and this is how i set up my integral pi(x^3)^2dx x^6 dx pi[x^(7)/7]=(pi/7)-(-pi/7) therefore giving my volume which is 2pi/7.

the books says using the sketch show how to approximate the volume of the solid by a riemann sum, hence find the volume. also, i drew a sketch and having trouble coming up with the radius and height. maybe the shel method is not as practical as others in this problem. if you could please show...

Volumes of revolution Homework Statement y=x^3 ; x=1; y=-1 axis:y=-1 Homework Equations shell method ∫ 2pi*y*g(y) The Attempt at a Solution 2pi *∫(y^(1/3)+1)*(1+y^(1/3))dy limits of integration are from -1 to 1 i think please help

im in calculus 2 right now and we are doing differential equaitons right now. I am confused as to why when i find the integrating factor I(x)=e^(∫p(x) and when i multiply both sides i get e^∫(p(x))[(dy/dx)+p(x)*y]=d(e^(p(x)dx)*y) how are they equal. i will give an example. (dy/dx)+y=x*e^(x)...

because when you take the the e of the absolute value of e^(ln|8-x|) i get |x-8|. don't the absolute values do this?

im stuck at -7.7=e^(-1-k)