Q.No.6. a) Use Laplace Expansion to find the determinant of, 15 7 9 A = 2 5 6 9 0 12

Advanced Engineering Mathematics
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ISBN:9780470458365
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Chapter2: Second-order Linear Odes
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Q.No.6. a) Use Laplace Expansion to find the determinant of,
15 7 9
A =
5 6
9
0 12
b) Use the bordered Hessian to determine whether the stationary value of z is a
maximum or minimum,
z%3Dх-Зу — ху,
subject to x+y = 6
c) Take a Cobb-Douglas production function, find its Elasticities w.r.t output and
Elasticity of Substitution with the help of partial derivatives.
Transcribed Image Text:Q.No.6. a) Use Laplace Expansion to find the determinant of, 15 7 9 A = 5 6 9 0 12 b) Use the bordered Hessian to determine whether the stationary value of z is a maximum or minimum, z%3Dх-Зу — ху, subject to x+y = 6 c) Take a Cobb-Douglas production function, find its Elasticities w.r.t output and Elasticity of Substitution with the help of partial derivatives.
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