Question

Sketch the solid obtained by rotating the region underneath the graph of the function f(x)=x^{-4} over the interval [-2,-1] about the axis x=4 and calculate its volume using the Shell Method.

Name: sketch the solid obtained by rotating the region underneath the graph of the function fxx 4 over the interval 2 1 about the axis x4 and calculate its volume using the shell method 00471
Uploaded: 2022-09-02T15:12:21-08:00
Duration: 5 min 41 s
Channel: David Nguyen
Description: sketch the solid obtained by rotating the region underneath the graph of the function fxx 4 over the interval 2 1 about the axis x4 and calculate its volume using the shell method 00471

          Sketch the solid obtained by rotating the region underneath the
graph of the function f(x)=x^{-4} over the interval [-2,-1] about
the axis x=4 and calculate its volume using the Shell Method.

Added by Manuel W.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert David Nguyen

09/02/2022

Step 1

The function given is \( f(x) = x^{-4} \) and the interval is \([-2, -1]\). Show more…

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Sketch the solid obtained by rotating the region underneath the graph of the function f(x)=x^{-4} over the interval [-2,-1] about the axis x=4 and calculate its volume using the Shell Method.