💬 👋 We’re always here. Join our Discord to connect with other students 24/7, any time, night or day.Join Here!

Like

Report

WZ
Numerade Educator

Like

Report

Problem 63 Hard Difficulty

Use the method of cylindrical shells to find the volume generated by rotating the region bounded by the curves about the given axis.

$ y = e^{-x} $ , $ y = 0 $ , $ x = -1 $ , $ x = 0 $ ; about $ x = 1 $

Answer

2$\pi e$

Discussion

You must be signed in to discuss.

Video Transcript

problem is you the my third off cylindrical shells to find the wallet generated by hitting the reading on the advice groups off. Given access here wise, they got we need to make tracks. Why zero? Who actually is that one? If you want a sip of zero out actually could want. So we can dollars a graph This. Why? And it's a graph of why I go to into next to ACS. And Max, you go to next to one on DH about his access. This is actually one. The region is this part and the tenth is written about axis like you want using my pseudo of cylindrical shells. We can see volume is equal to you. Sure. Hi. Integral from next. Want to zero? Here act is a distant. This turns from the point shoes of access to the access accident one year. This is one minus X times Ocean works. This is a tunic device. Yeah. So notice like this's the distance was a point. Choose a access between the point of its axis distance. This is one man attacks Now what can use integration? My parts shoo south. This integral mama is into girl from a to B. You have to be from the axe is the country you have swing from a to B minus the integral from you know you from way yaks from a to B. Now, for our problem, we cannot use the four to one man's acts on would be from the cool toe It's connected. Then you promise the co two make two one three years they called negative interconnected box. Then this girl has got too high using this for Miller. We can see this is too high times. Ugh, comes we. So this isthe negative one minus x You two neckties Vikes from next one to zero and Linus integral from make two. Want zero Your prom times, please. This is into next two blacks. Yes. This this is the country to pie. You're implying zero and make two one to this functions we have. This's negative one minus negative. One man is minus one is two. Me too. What is this connective minus? And he rolled off to make Jax is negative. It will make you access. This is past. Next. Relax from makes you want to Theo. Since there's a culture too high to the minus one plus thiss one minus we so the other is to pi times