Consider the function y = 8x + 5 between the limits of x = 1 and x = 6. Find the arclength L of this curve: L= Round your answer to 3 significant figures. Find the area of the surface of revolution, A , that is obtained when the curve is rotated by 27 radians about the T-axis. Do not include the surface areas of the disks that are formed at x = 1 and x = 6. A Round your answer to 3 significant figures.

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter10: Analytic Geometry
Section10.4: Analytic Proofs
Problem 32E
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Finding the arclength of a curve, and the area of the surface revolution when the curve is rotated

Consider the function y = 8x+5 between the limits of x
1 and x =
= 6.
a)
Find the arclength L of this curve:
L
Round your answer to 3 significant figures.
b)
Find the area of the surface of revolution, A , that is obtained when the curve is rotated by 27 radians about the r-axis.
Do not include the surface areas of the disks that are formed at x = 1 and x == 6.
A
Round your answer to 3 significant figures.
Transcribed Image Text:Consider the function y = 8x+5 between the limits of x 1 and x = = 6. a) Find the arclength L of this curve: L Round your answer to 3 significant figures. b) Find the area of the surface of revolution, A , that is obtained when the curve is rotated by 27 radians about the r-axis. Do not include the surface areas of the disks that are formed at x = 1 and x == 6. A Round your answer to 3 significant figures.
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