aDE Math-2409-set-A_Student.pdf X + X @ File | C:/Users/HP/Downloads/Math-2409-set-A_Student.pdf . . . 1 of 1 Q + [ Page view | A Read aloud | V Draw ~ Highlight v Erase Program. D.DC. Lugg. ( LLLJ Course Code: Math-2409 Course Title: Math-IV Time: 3 hours Full Marks: 21 [ Answer any Three questions from the followings; figures in the right margin indicate full marks.] 1(a). Find the limit of lim 2-+6z+3 2.5 2-+0 z2+2z+2 1(b). Determine the function f(z) = x2 + iy is analytic or not. If not make your 2.5 comments. 1(c). Evaluate (2 + i VZ ) + (2 - iv2) 70 2 2(a). If f(z) = u + iv is analytic function and if the real part u = x3 - xy + x2 - y2 is given, then find the imaginary part v. 2(b). Mappings are from the points z = 1, z = i,z = -2 of Z - plane to w = 2i, w = W 0, w = -itin W - plane, then determine the Bilinear Transformation. 2(c). Define the Conformal Mapping. 3(a). Define Cauchy's integral theorem. 3(b). Evaluate So 3 2 (4+ 2 (z)2 dz along the real axis from z = 0 to z = 4 and then along a line parallel to y-axis from z = 4 to z = 4 + i 3(c). Evaluate $ 2 dz, where C is defined by |z + 3i| = 3 W Type here to search O Hi emw X P PS Ai 9 ENG 11:47 PM INTL 17-Sep-21