Ask your own question, for FREE!
Mathematics 11 Online
OpenStudy (anonymous):

how do you do the shell method of solid revolving around the x-axis between the curves x=y^4/4-y^2/2; x=y^2/2?

OpenStudy (anonymous):

First you need to find the end points of the bounded region. Set the two equations equal to each other and solve for y. Let say that the end points are c and d, (You will actually need to find them) After we have the end points we need to visualize the region so we can explore what our shells will look like. In this case the important features of the shell are the radius of the shell (i.e. distance an abritrary shell is from the axis of rotation) It should be obvious that the radius here is going to be y. Next we need the "height" of the shell. That will be the distance between the two curves that define our region. Once you have that you set up the integral as follows \[\int\limits_{c}^{d}2 \pi y h(y) dy\] Here h(y) represents the expression you'd get for the height of an arbitrary shell as a function of y (right hand curve - left hand curve.)

Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!
Latest Questions
laylasnii13: Can i dm anybody to vent having a rough time ??
8 hours ago 1 Reply 0 Medals
kaelynw: starting to draw a hand
7 hours ago 15 Replies 2 Medals
Twaylor: Rate it :D (Took 2 days)
8 hours ago 7 Replies 0 Medals
XShawtyX: Art, Short Writing Assignment: Imagining Landscapes
7 hours ago 4 Replies 1 Medal
XShawtyX: Chemistry, Help ud83dude4fud83cudffe
1 day ago 13 Replies 1 Medal
kaelynw: tried a lil smt, the arm is off but i like the other stuff
1 day ago 27 Replies 3 Medals
kaelynw: art igg
1 day ago 14 Replies 1 Medal
Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!