MIE 97/98
Contents
Problem 1
Find the solution of with
.
Problem 2
Solve the following matrix in terms of and
Problem 3
Find the value of that satisfies the inequation
and represent , graphically, the function
.
Problem 4
Translation needed
Determine the parameters ,
,
and
of the complex transformation
which takes points
for
, respectively, as well as
for
, where
.
Problem 5
Translation needed
Problem 6
Translation needed
Problem 7
Find ,
and
such that the polynomial
, with
, is divisible by
and that the numerical value of the quotient is equal to
when
.
Problem 8
A finite sum of integer consecutive numbers, odd, positives or negatives, is equal to . Find the terms of this sum.