Question: Question 2 Please note , for this problem , your notation , Clarity of work and detailed write up . Is Very important . let

 Question 2 Please note , for this problem , your notation, Clarity of work and detailed write up . Is Very important

Question 2 Please note , for this problem , your notation , Clarity of work and detailed write up . Is Very important . let Z = f( x,y ) and x = e cosv. y = esinv. Show that - 24 + 2 N e + d 2 aExample In ( 2xty) of - In (2 *+y ) of In ( 2 x+y ) 2 x 1 . (2 ) - . ( 1 ) 2 * + y 2 * + y Let z = f ( x , y ) and x = e cos v , y= e" sin v. Show that e - 2 u 0x 2 dy ? Applying chain Rule, x= e" cosy dx 8 x 2x 3 x 2 v 1 2 V2 ax = e cosy J X = e cosy ox ie sing a x = - e cosx 2 v 2 ay d 2 y =e " sinv ou 1 dv = ce sinv Ju d zy = e sinv dy - ce cos v d V d - e sinv

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