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Find the minimum of f(x,y,z) = x2 + y2 + z2 subject to the two constraints...

Find the minimum of f(x,y,z) = x2 + y2 + z2 subject to the two constraints x + 2y + z = 3 and x - y = 4 by answering following questions

a) write out the lagrange equation involving lagrange multipliers λ(lamba) and μ(mu)

b) solve for lamba in terms of x and y

c) solve for x,y,z using the constraints

d) determine the minimum value

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