The function f(x,y,w)=√6xy+5w^2-x^2-0.5y^2-4y+7 has a unique stationary (i.e., critical) point. Find the characteristic roots of the Hessian of this function, order them from the smallest to the largest. r1=? r2=? r3=?  And, using the characteristic roots test, determine for each whether it is a local (global) maximum, a local (global) minimum, or neither.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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The function f(x,y,w)=√6xy+5w^2-x^2-0.5y^2-4y+7 has a unique stationary (i.e., critical) point. Find the characteristic roots of the Hessian of this function, order them from the smallest to the largest. r1=? r2=? r3=?  And, using the characteristic roots test, determine for each whether it is a local (global) maximum, a local (global) minimum, or neither.

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