How Do You Apply the Cylindrical Shell Method for y=x^2, y^2=x About x=-1?

Thread starter ithan
Start date Mar 8, 2007
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Cylindrical Method Shell

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SUMMARY

The discussion focuses on applying the Cylindrical Shell Method to the curves defined by the equations y=x^2 and y^2=x, specifically revolving around the line x=-1. Participants emphasize the importance of clearly stating the problem and providing initial attempts to facilitate assistance. The method involves integrating the volume of the solid formed by these curves when rotated about the specified axis.

PREREQUISITES

Understanding of the Cylindrical Shell Method
Familiarity with the equations of curves y=x^2 and y^2=x
Knowledge of integration techniques in calculus
Ability to graph functions and interpret their intersections

NEXT STEPS

Study the application of the Cylindrical Shell Method in calculus
Practice solving problems involving the integration of volumes of revolution
Learn how to graph the functions y=x^2 and y^2=x accurately
Explore the concept of revolving shapes around different axes in 3D space

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Students and educators in calculus, mathematicians interested in volume calculations, and anyone looking to deepen their understanding of the Cylindrical Shell Method.

Mar 8, 2007

ithan

How to solve this problem and how to graph it? Please help...

y=x^2, y^2=x, about x=-1

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Mar 8, 2007

cristo

Staff Emeritus

Science Advisor

What do you want to solve? State the exact question, and show some attempt before we can help you.

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