Fall 2009 - 6 x x e e =#14 The number N of bacteria in a...

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F09v.1 MAT 1800 Final Exam SHOW ALL WORK IN A BLUEBOOK: Only minimal credit will be awarded for answers without supporting work. Each problem is worth 10 points. #1. Solve: 3 4 1 1 x x - - #2. Find the domain of the function: ( 29 2 4 6 f x x x = - #3. Given that ( 29 4 1 f x x = - , ( 29 1 g x x = + and ( 29 h x x = . Find the following and simplify: a) ( 29 o g f x b) ( 29 o f h x #4. Among all rectangles that have a perimeter of 20 feet, find the dimensions of the one with the largest area. #5. Find the average rate of change of the function ( 29 1 x f x x = + between the values and x t x t a = = + . #6. Find all the real and complex zeros of the polynomial ( 29 4 3 2 2 2 2 3 P x x x x x = - - - - . #7. Graph ( 29 2 2 6 3 x x f x x x - - = + labeling all intercepts and asymptotes. #8. Graph ( 29 2 4 5 3 x x f x x - - = - labeling all intercepts and asymptotes. #9. Graph ( 29 ( 29 3 log 1 2 f x x = - - labeling all intercepts and asymptotes. #10. Simplify: a) 3 3 2log 4 log 10 3 + b) 2ln7 ln 4 3 e e + OVER
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#11. Given the approximate values: and Find a) ( 29 10 log 5 b) ( 29 10 log 90 #12. Solve: ( 29 ( 29 5 5 log 1 log 1 2 x x + - - = #13. Solve : 2
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Unformatted text preview: 6 x x e e-- = #14. The number N of bacteria in a culture is modeled by the function ( 29 25 e kt N t = , where t is measured in hours. If there are 200 bacteria after 3 hours, find the exact time required for there to be 300 bacteria. #15. Find the values: a) 11 sec 4 π b) 7 tan 6 - #16. Graph ( 29 5cos 3 4 f x x =- labeling the highest and lowest points. #17. Given that 2 2 θ-≤ ≤ and csc 5 = -find the value of: cos 6 - #18. Solve for x : 2sin tan tan 1 2sin x x x x-= -where #19. Find the values: a) 1 3 tan cos 4- - b) 1 5 cos cos 4- #20. Prove the identity: ( 29 2 2 2 tan cot sin2 tan cot-=-2 x ≤ < ( 29 10 log 2 0 3 . = ( 29 10 log 3 0 47 . =...
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Fall 2009 - 6 x x e e =#14 The number N of bacteria in a...

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