3ª Entrada del blog.

  

            HELLO my friends!! We are here again… Now I am gonna speak in english, do you like it?

   I hope that you've learnt the method of Lagrange that we have explained in the last entrance to the blog. Today is a special day cause this entrance is in english and for that we are gonna make a play for review the method of Lagrange. Are you ready?? All right, we are gonna started the play but before one advice, if you don`t remember something important about the method of Lagrange you must review the information that we put in the others entrances of the blog. Thank you and good luck my friend!. The play will be an exercise where you must choose one option and the next day we will put the correct options in other entrance in the blog.

1 Lagrange multipliers are used in

A) Optimization

b) Derivability

c) Any of the above

2 Lagrange method is used for

a) calculate the derivative

B) find maxima and minima

c) increasing restrictions

3 This method...

a) It is used for functions of one variable 

B) functions of several variables with restrictions 

c) both answers are correct.

4 This method...

a) calculate the partial derivatives 

B) Reduce the restricted problem with n variables 

to one unrestricted n + k variables

c) Any of the above

5 This method…

A) introduces a new unknown scalar variable for each restriction

b) simplifies the restrictions

c) don´t operate with the restrictions

6 The new variables are known as

A) Lagrange multiplier

b) Lagrange operator

c) Lagrange method

7 In the two-dimensional case, a critical point Vo is a maxima 

A) if  |H|>0

b) if  |H|<0

c) if | H|=0 

8 In a n-dimensional case: we examine the determinants of the diagonal submatrix of order greater than or equal to 3: If they are all greater than 0 

a) there is a maxima in V(o)

B) there is a minima in V(0)

c) there is a saddle point in V(o)

9  In a n-dimensional case: If the first 3x3 subdeterminant is greater than zero, the following (the 4x4) is less than zero, and thus the alternating subdeterminants its sign, we have

A) there is a maxima in V(o)

b) there is a minima in V(0)

c) there is a saddle point in V(o)

10 The demonstration of the Lagrange´s method is done by

a) partial derivatives 

b) the chain rule 

C) both responses are true