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SECOND PUC MATHEMATICS, , , , Assignments for First Quarte:, , Demonstrate two of the following assignments selecting, at least one from each part., PART A, , 1. Understanding and drawing graphs of Basic, functionsand checking the function as one one and, onto with respect to their domain and range using, graph of the functions., , i) Ixl, [x]+1, [x]-1, [x1] [x+1] ete, ii) [x], greatest integer function., , iii) 2x, 3x, x+1,x-1, 2x-3, etc, , iv) x?,x°,x7-1, x7+1, x°+1...ete, , v) sinx, cosx, tanx, secx, cosecx, cotx., , 2. Drawing the graph of Inverse trigonometric, functions sin™x and cos"x and solving the, inequality cosx>sin™x., , 3. Finding analytically the limit of a function f{x) at, x=a and hence verifying the continuity of the, function at that point., , x4, e.g: consider the function f(x) = {= #2, 4, x=2, PART B, 4. Writeup on contribution of any two Indian, , Mathematicians., , 5. Using the Golden Ratio or the Fibonacci pattern,, write up on demonstrating the interesting, possibilities in art, music, nature or architecture, etc., , 6. Why do you like Mathematics, write practical, applications of what you have studied in PUC (any, one concept)