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Find the maximum and minimum values of f subject to the given constraints. Use a computer...

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Basic Math

Find the maximum and minimum values of f subject to thegiven constraints. Use a computer algebra system to solve thesystem of equations that arises in using Lagrange multipliers. (Ifyour CAS finds only one solution, you may need to use additionalcommands. Round your answer to four decimal places.)

f(x, y,z) = yex?z;    9x2+ 4y2 +36z2 =36,  xy + yz = 1

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