# quiz 3 answers - Q UIZ 3 N ame K f\~ R EMEMBER S how d...

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Name: K REMEMBER!! 1. (4+6 points) QUIZ 3 f-\~ Show details of your work and use correct notation. Let VXY f(x, y) = Ixl + Iyl (a) Find the largest domain for f(x, y). • J. r L I 1 s+ -0 ,.. ~ t I", J. on cA.-1., (0 v\s 'lTI 0'" ~ L.c- 1''1 7 / . ~) 3'~ <\ v.Q. .O\("~h. VI e.... (...-1 ;., (.~J~ ..... ~ 0 y =-- (;) ~ i =-? '0 . .... .-1 ~i }, 0 ~ ~ j ... l. . tL.-- r+- lo,o} '1"1vl}~ \?e- ole. .~t (b) Is it possible to define f(x, y) at (0,0) in order to make f(x, y) continuous at (0,0)7 If your answer is "Yes", define f(O,O) to obtain a continuous function at (0,0). If your answer is "No", show that, it is impossible to define f(O, 0) to obtain a continuous function at (0,0). L. e..t 'J ="""1< f~? 0 (; JJt'1 - ('1'.-11-' (0,0)) '''Itltfl - _ t \R 0.-.- _ \r ~., ,..,e ff tt . .... ) -- \-.1_'" f" \" W')o 2. (5 points) -V n 1<"1.0 rFz I t ~ r . .., If . ... )C ()(\tl""'~' (~~~te. . ~\,,;h (J. ..J- b (~---<-' 0 -U f\e p, ,"'1. . / ~ -(. . £. ....-1 """J r- fSh. e I -y £- 0- (.0 ::;+~"7 __ +- lo,

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quiz 3 answers - Q UIZ 3 N ame K f\~ R EMEMBER S how d...

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