Mathematics in Economics   -  Written Exam – Part 2 – 70 points

Name:…………………………………


1) Find derivatives:

a)


b)



c)
            9 points


2) Find maxima and minima of the function of two variables:



                                                      10 points



3) Find Maclaurin series of .
                          8 points


4) Find maxima/minima of the function:                                                 9 points



5) Find the increment of the Cobb-Douglas function  for

K = 9, L = 25, dK = 0.1 and dL =
0.25.
  8 points



6) Find:
                           8 points



7) Find:
                          8 points



8) Find the area between y = 3x and y = x^2.
                                   10 points