I don't understand the work in the problem in the second image. (This is an answer from an expert). I substituted the 9 for 7. I just dont understand y^9/8 and y^17/8. I tried different ways to solve this problem to no avail. I'm at attempt 13. A trough is 7 feet long and 1 foot high. The vertical cross-section of the trough parallel to an end isshaped like the graph of y = 8 from x = -1 to x = 1. The trough is full of water. Find theamount of work in foot-pounds required to empty the trough by pumping the water over the top.Note: The weight of water is 62 pounds per cubic foot.- (-1)³)|629 The force is weight x volumedistance to which the volume element is to be lifted is 1-y.Since we havey = x8, - 1 ≤ x ≤ 1w = 62 pound/ ft.³Now, the amount of work can be calculated byThe weight of the water. (volume of the elemnt) (distance to be liftNow, transform the value of y in terms of x to obtain the the function in 'x'.y = x³x = 8√yTherefore, the work is62.9.2ydy (1-y) = f 62·9·2·1 - ydyThe strip has to be lifted at (1-y) distance. We need to integrate the small work from y = 0 to y= 1, we getW ===||W =01116-1-ydy1116 0.1-ydy9y =1116-yldy09y y11161788 0881116-17466.82

Answered: Image /qna-images/answer/446547b3-3918-4ad3-9f7c-cac1be232630.jpg

A trough is 7 feet long and 1 foot high. The vertical cross-section of the trough parallel to an end is shaped like the graph of y = 8 from x = -1 to x = 1. The trough is full of water. Find the amount of work in foot-pounds required to empty the trough by pumping the water over the top. Note: The weight of water is 62 pounds per cubic foot. - (-1)³)| 62 9

A trough is 7 feet long and 1 foot high. The vertical cross-section of the trough parallel to an end is shaped like the graph of y = 8 from x = -1 to x = 1. The trough is full of water. Find the amount of work in foot-pounds required to empty the trough by pumping the water over the top. Note: The weight of water is 62 pounds per cubic foot. - (-1)³)| 62 9

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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