MTH61204 The oxygen index in an aquarium is represented by the following equation: 𝐼𝐼 = π‘₯π‘₯3 + 𝑦𝑦3 βˆ’ 9π‘₯π‘₯y +27: Engineering Mathematics I Assignment, TU, Malaysia

University Taylor's University (TU)
Subject Engineering Mathematics I Assignment

The oxygen index in an aquarium is represented by the following equation:
𝐼𝐼 = π‘₯π‘₯3 + 𝑦𝑦3 βˆ’ 9π‘₯π‘₯y +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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