all values of (x, y) and λ such that ∇f (x, y) = λ∇g(x, y) g(x, y) = k Step 2. Evaluate f at all the points (x, y) obtained in Step 1. (The largest value is the maximum and the smallest is the minimum.) The Lagrange Multiplier Method - 2 Note that Step 1 really amounts to solving three equations in three unknowns (x, y, and λ). The equations can be found by rewriting the gradient equations as follows: fx(x, y) = λgx(x, y) fy (x, y) = λgy (x, y) g(x, y) = k The same method applies to…
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