finalexamfall2007

finalexamfall2007 - Math 1031 Instructor Your Name FINAL...

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Math 1031 Instructor:__________________ Your Name:___________________ FINAL EXAM FALL 2007 December 11, 2007 Show your work, the right solution without explanation is useless. Be clean and organized, it is your responsibility to make yourself understood. No graphic calculators. If you did not bring your calculator, you will have to do the exam without it, sharing calculators is not allowed. Good luck!!! Question Points Out of 1 8 2 12 3 8 4 10 5 12 6 11 7 12 8 12 9 10 10 10 Total 105 1
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1. (8 points) Sketch the graph of a function on the interval [-2,6] with the following properties. a. for and for () , 0 > x f 0 2 < < x 4 2 < < x b. for and for , 0 < x f 2 0 < < x 6 4 < < x c. , for and for 0 < x f 1 < x 5 > x d. , for 0 > x f 5 1 < < x e. and 2 ) 1 ( = f 4 ) 5 ( = f 6 2 4 2 - 2 4 0 - 2 2. (3 points) Use the rules for differentiation to find the derivative of each of the given functions. Do not simplify. a. 3 11 35 1 8 ) ( x x x f = Answer:_________ b. ) cos(ln ) ( x x g = Answer:_________ c. ) ln( ) ( x x x h = Answer:_________ d. 1 sin ) ( 2 + = x x x i Answer:_________ 2
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3. (8 points) Decide if the following functions could be linear, exponential or neither. If linear or exponential give the possible formula.
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finalexamfall2007 - Math 1031 Instructor Your Name FINAL...

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