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Find the Pairs (X, Y) That Give the Extreme Values 4x2+5y2=84004 x ^ { 2 } + 5 y ^ { 2 } = 8400

Question 100

Short Answer

Find the pairs (x, y) that give the extreme values of 2x + 10y, subject to the constraint 4x2+5y2=84004 x ^ { 2 } + 5 y ^ { 2 } = 8400 using the method of Lagrange multipliers.
Enter your answer as exactly just (a, b), (c, d) where a > c (no words).

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(10, 40), ...

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