Mathematics, 06.11.2019 19:31, jjoyner

25. consider the problem of minimizing the function fsx, yd − x on the curve y 2 1 x 4 2 x 3 − 0 (a piriform). (a) try using lagrange multipliers to solve the problem. (b) show that the minimum value is fs0, 0d − 0 but the lagrange condition =fs0, 0d − =ts0, 0d is not satis- ied for any value of . (c) explain why lagrange multipliers fail to ind the mini- mum value in this case.

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25. consider the problem of minimizing the function fsx, yd − x on the curve y 2 1 x 4 2 x 3 − 0 (a...