Consider the curve y = 1 for x > 1. (a) Determine the volume created by revolving the area under this curve and above the x-axis around the x-axis. This means setup and evaluate an integral for the volume. (b) Show using Comparison Test that the surface area of the shape created by revolving this curve around the x-axis diverges to infinity.

Consider the curve y = 1 for x > 1. (a) Determine the volume created by revolving the area under this curve and above the x-axis around the x-axis. This means setup and evaluate an integral for the volume. (b) Show using Comparison Test that the surface area of the shape created by revolving this curve around the x-axis diverges to infinity.

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter8: Further Techniques And Applications Of Integration

Section8.3: Volume And Average Value

Problem 21E

See similar textbooks