I Semester B.A./B.Sc Examination, December 2010
(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. If p(x): x2 - x - 30 < 0, find T [p (x)] in Z.
2. Write the negation of the quantified statement 'Some straight lines are parallel or all straight lines intersect'.
3. Write the partition set {1, 2, 3, 4} corresponding to the equivalence relation R={(1,1),(2,2)(3,3),(4,4),(1,2),(2,1)}.
4. Let f : X → Y be a mapping and A and B be arbitrary nonempty subsets of X, prove that f (A∪B) = f(A)∪f(B).
5. Find the nth derivative of e,x/2.cos2x.
2. Write the negation of the quantified statement 'Some straight lines are parallel or all straight lines intersect'.
3. Write the partition set {1, 2, 3, 4} corresponding to the equivalence relation R={(1,1),(2,2)(3,3),(4,4),(1,2),(2,1)}.
4. Let f : X → Y be a mapping and A and B be arbitrary nonempty subsets of X, prove that f (A∪B) = f(A)∪f(B).
5. Find the nth derivative of e,x/2.cos2x.
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