# Tutorial 7 Answers - -= x x y 15 12 30 36 2 2 2 = x x dx y...

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Tutorial 7 (Answers) – Introduction to Calculus and Linear Algebra Page 1 of 1 Tutorial 7 – Answers Introduction to Calculus and Linear Algebra 1. + + + - = 2 3 5 1 1 4 12 6 3 1 ) ( ' x x x x x f 2. 2 ) 2 ( 3 ) ( ' - - = x x f 3. 2 2 2 ) 2 ( ) 2 ( ) ( ' - + - = t t t f 4. 2 ) 5 ( 3 + - = x dx dy 5. 2 2 2 ) 1 5 2 ( 7 10 11 ) ( ' - + - - = x x x x x f 6. 2 2 ) 1 ( ) 4 2 ( 2 ) ( ' + + + = x x x x f 7. ) 5 2 ( 10 ) ( ' x x f + = 8. 2 3 5 ) 5 2 ( 2 5 2 20 4 ) ( ' + + - + = t t t t t t g 9. (1, –4), (–1, 0) 11. (0, 1), (–2, –1/3) 10. (5, 0), (3, 108), (0, 0) 12. –18 13. 4 14. 18 24 8 ' ' 3 +
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Unformatted text preview: -= x x y 15. 12 30 36 2 2 2 + + = x x dx y d 16. (i) P’ ( 1 ) = 5.46; increasing (ii) x > 10 units per hour 17. (i) t t D t a 3 4 3 20 ) ( ' ' ) (-= = . (ii) a (6) = –4/3 indicating velocity is decreasing at a rate of approximately 1.33 km/h. (iii) v (7) – v (6) = 78 – 80 = –2 km/h....
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