ws_8 - Mathematics for Engineers I

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Mathematics for Engineers I (Math103). .. student-intranet/faculties/math/ 2009 - Fall/math103 Class Work Sheet 8 1 . 1. Evaluate each of the following integrals: i) R ± 2 x + 4 x ² 2 dx ii) R sin(5 x - 1) dx iii) R cosh(6 x ) dx iv) R sec 2 (6 x - 5) dx v) R 6 x 5 2 x dx vi) R 1 4 x +5 dx vii) R (2 x + 7) - 7 dx viii) R 2 x + 5 dx ix) R e - 2(8 - 3 x ) dx x) R 1 x 4+ x 2 dx xi) R 1 14 - x 2 dx xii) R csc h (3 x + 1) coth(3 x + 1) dx 2. (a) Find the equation of the curve whose slope at any point ( x,y ) is - 12 x 3 ’ and passing through (1 , 8), then ﬁnd y when x = 3. (b) If a point is moving on a coordinate line with the acceleration a ( t ) = 2 - 6 t and v (0) = - 5, s (0) = 4, ﬁnd s ( t ). (c) If a car starts from rest, what constant acceleration will enable it to travel 500 ft in 10 sec? 3. Evaluate each of the following integrals: i) R x (2 x 2 + 3) 10 dx ii) R x 2 3 3 x 3 + 7 dx iii) R (1+ x ) 3 x dx iv) R e - x (1+ e - x ) 3 dx v) R e x sinh( e x ) cosh( e

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This note was uploaded on 01/08/2010 for the course MATH Math103 taught by Professor Dr.prof.mostafaamer during the Winter '09 term at German University in Cairo.

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ws_8 - Mathematics for Engineers I

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