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Consider the function f defined for all (x,y) by f(x,y)= 21​ x 2 −x+ay(x−1)− 31​ y 3 +a 2 y 2 . (a) Prove that (x ∗ ,y ∗ )=(1−a 3 ,a 2 ) is a critical point of f. (b) Verify the…

Consider the function f defined for all (x,y) by f(x,y)= 21​ x 2 −x+ay(x−1)− 31​ y 3 +a 2 y 2 . (a) Prove that (x ∗ ,y ∗ )=(1−a 3 ,a 2 ) is a critical point of f. (b) Verify the…
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Consider the function f defined for all (x,y) by f(x,y)= 21​ x 2 −x+ay(x−1)− 31​ y 3 +a 2 y 2 . (a) Prove that (x ∗ ,y ∗ )=(1−a 3 ,a 2 ) is a critical point of f. (b) Verify the envelope theorem.

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User Ga
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Answer: I think is A

Explanation:

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User Jacob Mulquin
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