AIS. 4. Compute the area of the surface formed when f(r) = 2 + cosh(r) between 0 and i is rotated around the z-axis. > ph of fír) 1/z, z>1, around the z-axis.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section: Chapter Questions
Problem 12T
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NOTE: PLEASE ANSWER THE LAST THREE SUBPARTS.
Activity:
ed
2.
3. C
4. Compute the area of the surface formed when f(r) 2+ cosh(z) between 0 and 1 is rotated
around the x-axis.
5. Consider the surface obtained by rotating the graph of f(z) 1/2, z 21, around the z-axis.
This surface is called Gabriel's horn or Toricelli's trumpet. In exercise 13 in section 9.7
we saw that Gabriel's horn has finite volume. Show that Gabricl's hern has infinite surface
area,
6. Consider the circle (r-2) + y 1. Sket ch the surface obtained by rotat ing this circie
about the g-axis. (The surface is called a torus.) What is the surface area? >
Transcribed Image Text:Activity: ed 2. 3. C 4. Compute the area of the surface formed when f(r) 2+ cosh(z) between 0 and 1 is rotated around the x-axis. 5. Consider the surface obtained by rotating the graph of f(z) 1/2, z 21, around the z-axis. This surface is called Gabriel's horn or Toricelli's trumpet. In exercise 13 in section 9.7 we saw that Gabriel's horn has finite volume. Show that Gabricl's hern has infinite surface area, 6. Consider the circle (r-2) + y 1. Sket ch the surface obtained by rotat ing this circie about the g-axis. (The surface is called a torus.) What is the surface area? >
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