Consider the function y = 8x + 7 between the limits of x = 3 and x = 7. a) Find the arclength L of this curve: L = 32.2 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 2π radians about the x-axis. Do not include the surface areas of the disks that are formed at x = 3 and x = 7. A = 9520 Round your answer to 3 significant figures.
Consider the function y = 8x + 7 between the limits of x = 3 and x = 7. a) Find the arclength L of this curve: L = 32.2 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 2π radians about the x-axis. Do not include the surface areas of the disks that are formed at x = 3 and x = 7. A = 9520 Round your answer to 3 significant figures.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:Consider the function y = 8x + 7 between the limits of x = 3 and x = 7.
a)
Find the arclength L of this curve:
L
= 32.2 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 x-axis.
Do not include the surface areas of the disks that are formed at x = 3 and x = 7.
A
= 9520 Round your answer to 3 significant figures.
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