# MTH61204 The oxygen index in an aquarium is represented by the following equation: πΌπΌ = π₯π₯3 + π¦π¦3 β 9π₯π₯y +27: Engineering Mathematics I Assignment, TU, Malaysia

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

QUESTION 1
The oxygen index in an aquarium is represented by the following equation:
πΌπΌ = π₯π₯3 + π¦π¦3 β 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 β€ x β€ 5 and 0 β€ y β€ 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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