# 1.a) Calculate the area between f(x)=ln(x) curve and x=0, y=0, x=e. Show the area with graphic.

b) Calculate the domain of f(x,y)=√ [ (x+y)/(x-y) ] function as algebraic and geometric.

c) Show that is z_{xx}+z_{yy} differential equation satisfy z=tan^{-1}[(2xy)/(x^{2}-y^{2})] equation.

2.

a) Calculate maximum volume of box which in the trihedral coordinate planes and one corner located on the x+y+z=3 plane.

b) an [a_{n}} arithmetic sequence a_{3}=6 and a_{9}=20 calculate the general term of sequence, organize sequence, search is the sequence's convergent or divergent.

c) an a_{n} arithmetic sequence a_{3}=1 and a_{6}=1/8 calculate the general term of sequence, organize sequence, search is the sequence's convergent or divergent.

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