Disk, Washer, Shell method

[Vividly]

TL;DR Summary

Solving the problem

Is there a way to solve a Disk,Washer,Shell method problem without actually creating a graph?

 

[jedishrfu]

Isn't the graph just a visual aid to insure you've setup the integrals correctly?

I'm sure it will give you extra points should you get the wrong answer but have visualized it correctly meaning you should do it for that additional reason alone.

 

[Mark44]

Is there a way to solve a Disk,Washer,Shell method problem without actually creating a graph?

Why would you want to not draw a graph?

 

[Vividly]

Why would you want to not draw a graph?

Because sometimes I may not draw the graph perfectly and may miss which equation is suppose to be subtracted from the other. I had this happen before.

 

[Mark44]

Because sometimes I may not draw the graph perfectly and may miss which equation is suppose to be subtracted from the other. I had this happen before.

Not wanting to sketch a graph because you might not do it perfectly is a terrible reason. If you have a problem drawing the graph correctly, the solution is not to skip this important step -- it's to learn how to make the graph good enough to be useful.

What you're saying sounds to me like a situation where somebody needs to get a bunch of items at the store, but doesn't want to write down the list of items because of poor handwriting ability.