# Tutorial 10 - by 81 15 2 = t t t C When does the maximum...

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Tutorial 10 – Introduction to Calculus and Linear Algebra Page 1 of 1 Tutorial 10 Introduction to Calculus and Linear Algebra In Exercises 1 to 8, determine the critical numbers of the given function f and classify each critical point as a relative maximum, a relative minimum, or neither. 1. 2 6 8 3 ) ( 2 3 4 + + - = x x x x f 2. 5 6 6 2 ) ( 2 3 + + + = t t t t f 3. 5 ) 1 ( ) ( - = x x f 4. 3 ) ( 2 + = t t t f 5. 2 ) ( 2 2 - + = t t t t f 6. 4 2 ) 1 ( ) ( - = t t f 7. ) 4 ( ) ( ' 2 2 x x x f - = 8. 2 2 3 2 ) 1 ( ) 3 4 ( ) 1 ( ) ( ' + - + = x x x x f 9. The concentration of a drug t hours after being injected into the arm of a patient is given
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Unformatted text preview: by 81 . 15 . ) ( 2 + = t t t C . When does the maximum concentration occur? 10. Commissioners of a certain city determine that when x million dollars are spent on controlling pollution, the percentage of pollution removed is given by 12 04 . 100 ) ( 2 + = x x x P What expenditure results in the largest percentage of pollution removal?...
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