Mathematics in Economics - REPETITION

1)      The domain of a function of the form  is equal to the set:




2)   For a cubic function defined as  specify the value of the first derivative at point x = 2.




3)   The quadratic function of the form  has an extreme point:





4)      Solve the system of two equations in :





5)      For a sequence determined by the n-th member

, calculate the tenth member.



6)      Calculate the limit  .




7)   Calculate the multiplication of matrices




8)      Calculate:   .




9)   Calculate:   .




10) The set of all real solutions to inequality   is:




11) Let  ;  be two intervals. Find an intersection of these two intervals:




12) Write down the elements of a set: .



13) Calculate