I Semester B.A./B.Sc Examination, December 2006
(Semester Scheme)
MATHEMATICS (Paper - I)
Time: 3 Hours Max. Marks : 90
I. Answer any fifteen sub-questions. Each sub-question carries 2 marks. (15x2=30)
1. Write the truth set of the proposition p(x):x2-6x+5=0, R[p(x)]=Z.
2. Write the negation of : (Ax)(Ey)x+y=xy.
3. Find the equivalence relation associated with the partition
P = {{1,2}, {3,4} of the set A={1,2,3,4}.
4. Show that the function f:IR -> IR defined by f9x0=3x+5AxEIR is a bijection.
5. Find the nth derivative of 1/(2x+5)power5.
6. Find the nth derivative of Cos34X.
7. If u=xy.
2. Write the negation of : (Ax)(Ey)x+y=xy.
3. Find the equivalence relation associated with the partition
P = {{1,2}, {3,4} of the set A={1,2,3,4}.
4. Show that the function f:IR -> IR defined by f9x0=3x+5AxEIR is a bijection.
5. Find the nth derivative of 1/(2x+5)power5.
6. Find the nth derivative of Cos34X.
7. If u=xy.
Comments
Post a Comment