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# Tutorial 9 - species that remain in the wild t years after...

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Tutorial 9 – Introduction to Calculus and Linear Algebra Page 1 of 1 Tutorial 9 Introduction to Calculus and Linear Algebra In Exercises 1 to 8, differentiate the given function. 1. x e x x x f 6 2 ) 5 3 ( ) ( + + = 2. 2 ) 3 1 ( ) ( x e x f - = 3. x e x f 3 ) ( = 4. x x x f ln ) ( 2 = 5. - + = 1 1 ln ) ( x x x f 6. t t e t h t ln ) ( + = 7. ) ln( ) ( x e x f x + = - 8. ) 1 ln( ) ( 2 + + = u u u g In Exercises 9 to 12, use logarithmic differentiation to find the derivative f’ ( x ). 9. 2 / 1 2 2 ) 5 ( ) 3 2 ( ) ( x x x x f - + = 10. 6 5 5 3 ) 2 ( ) ( - + = x x x f 11. 3 2 3 1 2 ) 6 ( ) 1 ( ) ( + - + = x x x x f 12. 2 5 ) ( x x f = 13. An international agency determines that the number of individuals of an endangered
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Unformatted text preview: species that remain in the wild t years after a protection policy is instituted may be modeled by t e t N 02 . 3 1 600 ) (-+ = (i) At what rate is the population changing at time t ? When is the population increasing? When is it decreasing? (ii) When is the rate of change of the population increasing? When is it decreasing? Interpret your results....
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