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Practical Investigation

- Question 1 requires selecting reference points from the graph. It is expected that each student will choose different reference points to other students.

Take note of the criteria for the marking of the assessment tasks.

These criteria include:

Accuracy of Calculations - being aware of accuracy required and applying accurately and consistently.

Problem solving - evidence of problem solving is shown and methods and assumptions are clearly explained

Use of Technology - this needs to be used appropriately and evidence clearly given.

Quality of Analysis and Conclusions - results of calculations are to be analysed and conclusions drawn.

Presentation of the Report - the report should be presented clearly as for a minor project: Introduction/ Conclusions/ Headings/subheadings/ diagrams/ graphs/ tables/ correct labelling etc

An irrigation engineer is designing a profile for a channel to pass through a farm that is in the shape of a square of side lengths 25 KM as shown in Fig 1. The proposed profile follows the following equation:

y = Asin(x)+ Bcos(x)+Cln(x)+ Dx + E

1. By selecting ideal reference points from the graph determine the values of arbitrary constants A, B, C, D & E. (Note Instructions Page 1)

2. The turning points for the profile represents the locations where the pumps need 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.

Fig. 1 Channel

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