please help me answer these 3 questions with explanation (if possible) thank you in advance Set up the integral (line 1). Find the surface area generated by revolving the curve about the indicated axis (line 2).5) y = ex + e-*₁ex25)-, 0≤x≤ In 4; x-axisSet up the integral then find the length of the curve.6) x = (y - 1) 3/2 from y = 9 to y = 16Set up the integral (line 1) then find the area or volume (line 2).107) Find the area under y =in the first quadrant.1 + x26)7)_______

Answered: Set up the integral (line 1). Find the…

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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please help me answer these 3 questions with explanation (if possible) thank you in advance

Set up the integral (line 1). Find the surface area generated by revolving the curve about the indicated axis (line 2).
5) y = ex + e-*₁
ex
2
5)
-, 0≤x≤ In 4; x-axis
Set up the integral then find the length of the curve.
6) x = (y - 1) 3/2 from y = 9 to y = 16
Set up the integral (line 1) then find the area or volume (line 2).
10
7) Find the area under y =
in the first quadrant.
1 + x2
6)
7)_______

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The volume made by full revolution of the area A under the function $y = f (x)$ about the x-axis between the limits $x = a a n d x = b$ is given by the equation;