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### Question

An irrigation engineer is designing a profile for a channel to pass through a farm that is in a shape of a square of side length 25 KM as shown in Fig 1. The proposed profile follows the following equation: ð‘¦ð‘¦=ð´ð´ð´ð´ð´ð´ð´ð´(ð‘¥ð‘¥)+ðµðµðµðµðµðµðµ (ð‘¥ð‘¥)+ð¶ð¶ð¶ð¶ð¶ (ð‘¥ð‘¥)+ð·ð·ð· +ð¸ð¸
1. By selecting ideal reference points from the graph determine the values of arbitrary constants A, B, C, D & E.
2. The turning points for the profile represents the locations where the pumps needs to be installed to distribute the water to the other parts of the farm. Determine the location of the pumping stations to the nearest 0.1 m.
3. Determine the length of the channel.
The channel has x-section in a form of a parabola. The maximum width of the channel at the existing ground level as shown in Figure 2 is 2 meters.
4. Determine the depth of the channel below the existing ground level if the minimum cross section area of the channel is 8 m2 and hence determine the channel profile equation.
5. The excavated earth is used for the embankments alongside the channel. The cross section of the embankments as shown in Figure 2 is in a form of a symmetrical trapezium. The sides of the trapezium is tangential to the excavated channel at the ground level. Determine the height of the trapezium.
6. The maximum safe flow capacity of the channel is when the channel is full up to 0.8 of the full height of the channel. Determine the maximum safe area for the safe flow.
7. To reduce the scouring of the channel and the water seepage, it is suggested to use a lining material to the full height of the channel. If the lining material costs around \$50.00 per sq. meter, determine the cost of lining per meter length of the channel.
8. If the cost of excavation is \$10 per cubic meter, the cost of constructing the embankment is \$15.00 per cubic meter and the cost of lining is \$50.00, suggest an alternative profile for the channel x-section with less cost. The only constrains are the overall width of the channel should not be more than 9 meters and the minimum cross section for the water flow is 8 SQM.

### Engineering Mathematics 1

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## More Engineering Mathematics 1: Questions & Answers

Q

### BuSI 2013 Business Decision Analysis

For the linear program SELF test Max 2A + 3B s.t.1A+2B 6 5A + 3B  15 A, B  0 Find the optimal solution using the graphical solution procedure. What is the value of the objective function at the optimal solution?    Question 13:Consider the following linear program: Max 1A + ...

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### FIN201 Financial Mathematics

Which of the following are subspaces? Either show that they are, or explain why they fail to be.(a) The set of elements (x1,...,xn) with x2 1 −x2 = 0 inside Rn. (b) The set of elements (x1,...,xn) with 2x1 + 3x2 −4x3 = 0 inside Rn. (c) The set of elements (x1,...,xn) with x1 + x2 & ...

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Math 220 Group Quiz Names:________________________ Sections 1.1, 1.2, 1 .3 ________________________ 9 April 20 20 ________________________ 1. Determine the value(s) of h such that the matrix is the augmented matrix of a consistent linear system. ...

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1. How much would you have at age 65 if you deposit \$2,500 at the end of each year in an account paying 9% annually starting at: (A) age 45? (B) age 21? 2. The Frontier family wants to buy a sport ut (SUV). They decide on a 4-wheel drive Jeep Grand Cherokee. The purchase price with tax of the vehicl ...

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