 My Math Forum Let U denote the right half plane {(u,v)?R^2 ?u>0}
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 April 24th, 2012, 12:14 AM #1 Newbie   Joined: Apr 2012 Posts: 3 Thanks: 0 Let U denote the right half plane {(u,v)?R^2 ?u>0} Let U denote the right half plane {(u,v)?R^2 ?u>0}. Define a function H: U -> R^2 by H(u,v) = (ue^-v , ue^v) a.Let Q denote the range of H. Show that Q = {(x,y) ?R^2 ?x>0,y>0}, the first quadrant b.Find H^ -1 on Q c.Compute DH and D(H^ -1) d.Show that DH and D(H^ -1) are inverse to one another Tags denote, half, plane, u>0, vr2 Thread Tools Show Printable Version Email this Page Display Modes Linear Mode Switch to Hybrid Mode Switch to Threaded Mode Similar Threads Thread Thread Starter Forum Replies Last Post Lee Applied Math 0 December 8th, 2013 10:00 AM lime Complex Analysis 2 July 2nd, 2011 09:51 PM eskimo343 Complex Analysis 0 April 28th, 2010 08:47 PM eskimo343 Complex Analysis 0 December 3rd, 2009 04:24 AM CogitoErgoCogitoSum Calculus 2 February 2nd, 2009 04:13 PM

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