hwsol_15

hwsol_15 - Homework Assignment 15 - (12.5) - Solutions Page...

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Homework Assignment 15 - (12.5) - Solutions Page 966 : 6*, 8*, 12*, 20*, 22*, 24*, 29* , 28 - for extra points 6. g ! t " ! f ! x ! t " , y ! t "" ! x 2 " y 2 , x ! t " ! sin t , y ! t " ! t 2 " 2 f x ! x x 2 " y 2 , f y ! y x 2 " y 2 , x # ! t " ! cos t , y # ! t " ! 2 t g # ! t " ! x x 2 " y 2 ! sin t " " y x 2 " y 2 ! 2 t " ! 1 x 2 " y 2 ! x sin t " 2 ty " 8. g ! u , v " ! f ! x ! u , v " , y ! u , v "" , f ! x , y " ! xy 3 ! 4 x 2 , x ! u , v " ! e u 2 , y ! u , v " ! v 2 " 1 sin u f x ! y 3 ! 8 x , f y ! 3 xy 2 , x u ! 2 ue u 2 , x v ! 0, y u ! v 2 " 1 cos u , y v ! v v 2 " 1 sin u g u ! f x x u " f y y u ! ! y 3 ! 8 x " 2 ue u 2 " 3 xy 2 v 2 " 1 cos u g v ! f x x v " f y y v ! ! y 3 ! 8 x "! 0 " " 3 xy 2 v v 2 " 1 sin u ! 3 xy 2 v v 2 " 1 sin u 12. g ! u , v , w " ! g x ! u , v , w " , y ! u , v , w " , z ! u , v , w " g u ! g x x u " g y y u " g z z u , g v ! g x x v " g y y v " g z z v , g w ! g x x w " g y y w " g z z w , 20. g ! t
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This note was uploaded on 02/05/2012 for the course MATH 2142 taught by Professor Lerna during the Fall '10 term at FIU.

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hwsol_15 - Homework Assignment 15 - (12.5) - Solutions Page...

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