What are the gradient and the determinant of the Hessian of the function f(x, y ) = x2 y 2 at its global optimum?

Question:

What are the gradient and the determinant of the Hessian of the function f(x, y ) = x2 y 2 at its global optimum?

A.

∇f = 0i + 0j and h > 0

B.

∇f = 0i + 0j and h = 0

C.

∇f = 1i +1j and h < 0

D.

∇f = 1i +1j and h = 0

Answer» a. ∇f = 0i + 0j and h > 0

Note: The above multiple-choice question is for all general and Competitive Exams in India

The set B of odd positive integers less than 10 can be expressed by _____________

Question:

The set B of odd positive integers less than 10 can be expressed by _____________

A.

{1, 2, 3}

B.

{1, 3, 5, 7, 9}

C.

{1, 2, 5, 9}

D.

{1, 5, 7, 9, 11}

Answer» b. {1, 3, 5, 7, 9}

Note: The above multiple-choice question is for all general and Competitive Exams in India