updated calciii notes
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@@ -58,5 +58,6 @@ To find absolute extremas using lagrange multipliers:
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2. Find the gradient of \(g\)
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3. Set \(\nabla f(x,y) = \lambda \nabla g(x,y)\)
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4. Solve the system for \(x\) and \(y\) of \(\nabla f(x,y) = \lambda \nabla g(x,y)\) and \(g(x,y) = 0\).
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5. Evaluate the points you've found in \(f(x,y)\). The largest value is the absolute maximum. The smallest value is the absolute minimum.
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- Determine \(x\) and \(y\) for each case of \(\lambda\).
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5. Evaluate the points \((x,y)\) you've found in \(f(x,y)\). The largest value is the absolute maximum. The smallest value is the absolute minimum.
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