MTH61204 The oxygen index in an aquarium is represented by the following equation: 𝐼𝐼 = 𝑥𝑥3 + 𝑦𝑦3 − 9𝑥𝑥y +27: Engineering Mathematics I Assignment, TU, Malaysia

QUESTION 1
The oxygen index in an aquarium is represented by the following equation:
𝐼𝐼 = 𝑥𝑥3 + 𝑦𝑦3 − 9𝑥𝑥y +27 where x and y are the coordinates in xy plane. Solve for the absolute extrema values for oxygen index on the region bounded by 0 ≤ x ≤ 5 and 0 ≤ y ≤ 5. Identify the location in the aquarium with the lowest oxygen index. List down all the assumptions/values/methods used to solve this question. Compare the answers between manual and solver programs, and draw a conclusion for your finding. (20 marks)

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