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a5 - a Øh7 A ×× igÒÑ eÒ Ø5D Ù e:F Ö id aÝÙÒ e...

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Unformatted text preview: a Øh7 A ×× igÒÑ eÒ Ø5D Ù e :F Ö id aÝÙÒ e Øh eØ f : R 2 → R aÒdd eÒ e g ( x, y ) = f (sin y, cos x ) F iÒd g xx aÒd g yy Øa ØeaÒÝa ××ÙÑ Ô Ø iÓÒ ×ÝÓÙÒ eed ed ØÓÑ ak e eØ f, g : R → R Û h eÖe f aÒd g a ÖeØÛ iced ieÖeÒ Ø iab ÐehÓÛ Øha Ø u ( x, t ) = f ( x- at ) + g ( x + at ) i×a ×Ó ÐÙ Ø iÓÒÓ fØh eÛ aÚ eeÕÙa Ø iÓÒ : u tt = a 2 u xx eØ g : R → R aÒd ÐeØ f ( x, y ) = g ( u 2 v ) Û h eÖe u = e x aÒd v = x 2 + y 3 ×e Øh echa iÒ ÖÙ ÐeØÓÒd ∂ 2 f ∂x∂y Øa ØeaÒÝa ××ÙÑ Ô Ø iÓÒ ×ÝÓÙÒ eed ed ØÓÑ ak e 4 eØ f ( x, y ) = xy 3- x 2 y a F iÒd Øh ed iÖecØ iÓÒa Ðd eÖ iÚa Ø iÚ eÓ f f a Ø (1 ,- 2) iÒ Øh ed iÖecØ iÓÒÓ fØh eÚ ecØÓ Ö vectorv = (3 , 4) b ×Øh eÖead iÖecØ iÓÒa Ø (1 ,- 2) iÒÛ h ich Øh eÖa ØeÓ fchaÒg eÓ f f i×eÕÙa ÐØÓ 13 ? Ù ×Ø ifÝÝÓÙ ÖaÒ ×Û eÖ c F iÒd Øh ed iÖecØ iÓÒa Ø (1 ,- 2) iÒÛ h ich Øh eÖa ØeÓ fchaÒg eÓ f...
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a5 - a Øh7 A ×× igÒÑ eÒ Ø5D Ù e:F Ö id aÝÙÒ e...

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