# Calculus Solutions Online

[mage lang="en|es|en" source="flickr"]calculus solutions online[/mage]
Calculus II question…just trying to understand what’s going on….not homework?

Identify the radius and height of each shell and compute the volume.
The region bounded by y=x, y= -x, and x=1 revolved about the y axis.
The solutions manual teslls me that radius=x and height =2x. I am not understanding why this is. I can compute the volume once I figure out how to form the equation but I cannot figure out how they are finding the radius and height.
I am taking an online CALC II course and the system is down for the weekend so I can’t get any help from the instructor.Your help is greatly appreciated. Hopefully someday I can return the favor.

hey, here goes hope i can help .. take a paper and a pen and draw the lines y=x and y=-x they are basicly the diagonal lines between the x-axis and y-axis that meet at the center .. then u draw the x=1 line which is the line parallel to the y-axis passing through the point (x=1,y=0) so if u look at the region envolved betwen these three lines its basicly a triangle .. and then ur asked to evolve that triangle aroung the y-axis .. the basicly the radius is the distance between the y-axis at the center (x=0,y=0) and the x=1 line which is the side of the triangle … so basicly the distance=radius=x=1 … now the height is the length of the side of the triangle that is farthest from the centre .. again thats on theline x=1 … so to get the thre points of the triangle u can do the intersection between the y=x line and the x=1 line ull get the first point .. and the intersection between the y=-x line and the x=1 line ull get the second point the third one is of course at the center (0,0) … the if u do the distance between the two other points its basicly equal to 2 … to do the volume of the whole thing u need to get the volume of the triangle and then multiply it by 2*Π (two pie that is) cause ur revolving a triangle 360 degrees around an axis .. i tried to explain things as much as possible .. hope i could help

Calculus III- Graphing a Three Dimensional Plane

You can follow any responses to this entry through the RSS 2.0 feed. You can leave a response, or trackback from your own site.
4 Responses
1. Thanks for your write-up. I would love to remark that the very first thing you will need to conduct is to see if you really need credit score improvement. To do that you will have to get your hands on a replica of your credit report. That should not be difficult, considering that the government mandates that you are allowed to receive one free of charge copy of the credit report every year. You just have to inquire the right persons. You can either look at website for the Federal Trade Commission as well as contact one of the main credit agencies immediately.