Let D be a simply connected domain and suppose fo (z) is analytic in a domain Do C D. If the function element (fo. Do) can be analytically continued along every curve in D, then there exists a single-valued function f(z) that is not analytic throughout D with f(z) = fo(z) in Do. 1) True 2) False

when we say a function is analytic

or each of the given functions find the set of points on which the Cauchy-Riemann equations aresatisfied. Also, check whether the function is analytic or not on the points where Cauchy-Riemannequations are satisfied.(a) 𝑓 (𝑧) = |𝑧|2

Identify the TRUE statements about the syntax of analytic function usage in the SELECT statement.Question 14Answera.Place analytic functions in the list of columns in the SELECT clause.b.An empty specification for the OVER clause means that the analytic function is applied to all result rows.c.ORDER BY cannot be used as part of an analytic function.d.The OVER clause identifies a set of rows to apply an analytic function.

For each of the given functions find the set of points on which the Cauchy-Riemann equations aresatisfied. Also, check whether the function is analytic or not on the points where Cauchy-Riemannequations are satisfied.(a) 𝑓 (𝑧) = |𝑧|2

For a function f(z)=u(x,y)+iv(x,y) to be analytic then the C-R equation to be satisfied are