Questionbanks  MATHSIII (IT) 
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MODULE1 1. Show that set of following functions (Given any Numerical) Form an orthogonal set in (Given any Value) and construct an orthogonal set. 2. If A,B,C are of subsets of universal set U then prove that. (Given any Numerical) For the sets A,B,C given that (Given any value). Is It necessary that (Given any value)? Justify. 3. Show that using Venn diagram (Given any Numerical) MODULE2 1. Find Composition of functions OR Composition of relations (Given any value) are defined as follows: (Given any Numerical) 2. Hasse Diagram for two sets. show that are posets. (Given any Numerical) 3. Find equivalence relation. (Given any Numerical) 4. Find the transitive closure of R where R be the relation (Given Matrix) 5. Partial ordering relation (Given any Numerical) MODULE3 1. Find laplace transform of (Given any Numerical) 2. Solve the differential equation (Given any Numerical) Using laplace transform. MODULE4 1. Find (Given any Numerical) using convolution theorem. MODULE5 1. Is f(z) = (Given any value) analytic? 2. Find the Ztransformation of (Given any Numerical) 3. if (Given any Numerical), show that V and H Harmonic and Find the corresponding analytic function. 4. Find inverse Ztransform of f(x)= (Given any Numerical). 5. Find the orthogonal trajectory of (Given any Numerical). 6. Find the bilinear transformation (Given any Numerical). Also obtain fixed Points of the transformation. MODULE6 1. Find The probability that the equation will have real roots. (Given any Numerical) 2. (Given any Numerical) What can we conclude about the probability that person under test has Particular cancer? 3. Find Conditional Probability (Given any Numerical) 4. Permutations, Combinations. (Given any Numerical) 5. Bayes’ Theorem, Information and Mutual Information. (Given any Numerical) 
