final-rev-big-filled

final-rev-big-filled - Math 1314 Review for Final Exam I....

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Unformatted text preview: Math 1314 Review for Final Exam I. Limits 1. Evaluate: 2 3 lim 2 3 9 x x x -- + 2. Evaluate: 2 2 4 2 8 lim 16 x x x x --- 3. Find 1 1 lim ( ), lim x x f x- + and 1 lim ( ) x f x given the graph below: -4-3-2-1 1 2 3 4 5-4-3-2-1 1 2 3 4 x y 4. Suppose 2 2 3, 2 ( ) 5, 2 1 3, 1 x x f x x x x + < - =-- Find 2 2 2 1 lim ( ), lim ( ), lim ( ), lim ( ) x x x x f x f x f x f x +- + - - - 1 1 lim ( ), lim ( ) x x f x f x- 5. Evaluate: 2 2 3 6 3 lim 4 x x x x - + + . 6. Evaluate: 2 3 lim 5 2 4 x x x x - +- . Find Derivatives 7. Find the derivative: 4 3 2 ( ) 5 3 8 7 1 f x x x x x =- +- + 8. Find the derivative: 4 ( ) 7 x f x x e x = + + 9. Find the derivative: 2 ( ) ln f x x x = 10. Find the derivative: ( 29 2 ( ) ln 4 3 f x x = + 11. Find the derivative: 2 3 ( ) 2 5 x f x x + =- 12. Find the derivative: 4 ( ) 3 x f x e- = 14. Find the second derivative: 3 2 ( ) 3 8 5 3 f x x x x =- + + 15. Find the second derivative: ( 29 4 5 ( ) 3 f x x =- 16. Find the equation of the line tangent to 3 ( ) 4 5 3 f x x x =-- at the point (-1, 12). 17. Population is growing according to the model...
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final-rev-big-filled - Math 1314 Review for Final Exam I....

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