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.

Trigonometry (MindTap Course List)
8th Edition
ISBN:9781305652224
Author:Charles P. McKeague, Mark D. Turner
Publisher:Charles P. McKeague, Mark D. Turner
Chapter3: Radian Measure
Section3.3: Definition Iii: Circular Functions
Problem 62PS
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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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