Sheet (2) Solution

# Sheet (2) Solution - Math 103 Class Work Sheet (2) Solution...

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1 Math 103 Class Work Sheet (2) Solution [1] (i) 2 . 7 2 . 7 ln e (ii) 2 1 ln ln 1 2 2 x e e x x (iii) y x x y y x y x y x e y x e e x y y x y x ln ln ln ln ln ln (iv) 2 2 ln 2 2 y x e y x (v) x e e e e x x x x x ln ln (vi)   1 ln ln 2 ln 2 2 1 e e e (vii)   1 ) ln( ln ln e e e (viii)   x e e e x ln (ix)     x x e e x x ln 2 ln ln ln 2 ln ln 2 2 [2] (i)       1 ln 1 ln 4 1 1 1 ln 4 1 1 1 ln 2 2 2 2 4 2 2 x x x x x x (ii)       1 ln 2 tan ln 4 sin ln 2 1 ln tan ln sin ln 1 tan sin ln 2 2 2 4 2 2 2 4 2 x x x x x x x x x (iii)     3 ln sin ln 2 1 ln 4 sin 1 ln 3 3 2 4 3 x x x x x x (iv) 5 ln ) 5 ln ( ) ln(sin ) ln(sin 5 sin ln ) ln(sin (v)   ) 3 ln( ) 3 ln( ) 3 ln( ) 3 ln( 3 1 ln ) 3 ( 3 ln 3 1 ln 9 3 ln 2 x x x x x x x x x x (vi)   0 ) ln(cos cos ln ) ln(cos

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## This note was uploaded on 01/09/2010 for the course MATH Math103 taught by Professor Dr.prof.mostafaamer during the Spring '09 term at German University in Cairo.

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Sheet (2) Solution - Math 103 Class Work Sheet (2) Solution...

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