infi2HW5 - 5'qn milibxz oeilb 104281 2 itpi` dryl jenq sq`p...

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Unformatted text preview: 5 'qn milibxz oeilb - 104281- 2 itpi` dryl jenq sq`p libxzd !xg`l `l `p) mixdva 12 : 00 dry cr --- - / 2 / 2007 :dybd jix`z .(ef A 4 lcebn xiip lr yibdl yi .qxewd ly mi`zd cg`l ec`n` oiipaa qt` dnewa dybdd :zxekfz z` xexiaa oiivl `p .micigia dybdd .(!zekiq wcdna) wcedn yibdl `p .mixqlw e` zeiwy `ll .xry sca jxev oi` .f"z xtqn z`e cinlzd my : 1 libxz :divxbhpi` xcq etilgd R 1- 1 h R 1 x 2 f ( x,y ) dy i dx .1 R 1 h R 1- x 2 f ( x,y ) dx i dy .2 : 2 libxz :mi`ad milxbhpi`d z` eayg i"r meqgd megzd `ed D xy`k , RR D ( x + y ) 3 ( x- y ) 3 dxdy .1 . x + y = 1; x + y = 3; x- y = 1; x- y =- 1; D = { ( x,y ) | x 2 a 2 + y 2 b 2 1 } xy`k , RR D 1- x 2 a 2 + y 2 b 2 1 2 1 2 dxdy .2 . x = au, y = bv :mipzynd selig z` eqp :fnx :zeleaxtd i"r meqgd megzd `ed D xy`k , RR D x 2 sin( xy ) y dxdy .3 . y 2 = 2 x ; y 2 = x ; x 2 = y ; x 2 = 2 y ; i"r meqgd megzd `ed D xy`k , RR D xy dxdy .4 . xy = 2; xy = 3 x ; y = 1 2 x 2 ; y = 2 x 2 ; : 3 libxz :( < c < d- e < a < b ) dveawd ghy z` eayg A =...
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This note was uploaded on 06/27/2008 for the course MATH Infi 2 taught by Professor Benyamini during the Winter '08 term at Technion.

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infi2HW5 - 5'qn milibxz oeilb 104281 2 itpi` dryl jenq sq`p...

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