MATHEMATICS
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Paper - V
Question - 02
- Prove that cartesian product of two countable sets is countable.........Answer (Click Here)
- Discuss difference between Crisp Set and Fuzzy Set..........Answer (Click Here)
- Define Convex Fuzzy Set............Answer (Click Here)
Define Equality of Fuzzy Set and Cardinality of Fuzzy Set............Answer (Click Here)
- State and Prove Fundamental Theorem of Arithmetic.........Answer (Click Here)
Paper - VII
Question - 01
- Discuss existence and uniqueness of solution of first order ODE............Answer (Click Here)
- Discuss Volterra integral equation briefly...........Answer (Click Here)
- State and Prove Gronwall's inequality...........Answer (Click Here)
- State Ascoli-Arzela theorem.......Answer ( Click Here)
Paper - VII
Question - 01
- Explain four derivatives and extension of measure.......Answer (Click Here)
Paper - VII
Question - 01
- State and Prove the following:
(i) Urysohn's lemma.
(ii) Tietze extension theorem.
(ii) Lindelof's theorem.
Answer - Click Here (Download PDF)
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