Tutorial 9 Answers - ( 3 2 6 2 1 3 ) ( ) ( ' x x x x f x f...

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Tutorial 9 (Answers) – Introduction to Calculus and Linear Algebra Page 1 of 1 Tutorial 9 – Answers Introduction to Calculus and Linear Algebra 1. x e x x x f 6 2 ) 33 20 6 ( ) ( ' + + = 2. ) 3 1 ( 6 ) ( ' x x e e x f - - = 3. x e x x f 3 3 2 3 ) ( ' = 4. x x x x f + = ln 2 ) ( ' 5. ) 1 )( 1 ( 2 ) ( ' - + - = x x x f 6. 2 ) (ln ln ln ) ( ' t t t e t t t te t h t t - - + = 7. x x e x e x f - - + - = 1 ) ( ' 8. 1 1 ) ( ' 2 + = u u g 9. - - + + = ) 5 ( 2 10 1 3 2 4 ) ( ) ( ' 2 x x x x x f x f 10. - - + = ) 5 3 ( 2 1 2 5 ) ( ) ( ' x x x f x f 11. + + - - + = ) 1 2
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Unformatted text preview: ( 3 2 6 2 1 3 ) ( ) ( ' x x x x f x f 12. 2 5 ) 5 (ln 2 ) ( ' x x x f = 13. (i) 2 02 . 02 . ) 3 1 ( 36 ) ( ' t t e e t N--+ = ; the population is increasing at all times t . (ii) Increasing for t < 50 ln 3, decreasing for t > 50 ln 3....
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This note was uploaded on 03/19/2012 for the course COMP 3868 taught by Professor Keithchan during the Spring '97 term at Hong Kong Polytechnic University.

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