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MAT295-2007FallUC

# MAT295-2007FallUC - Name 1/6 MAT295:UC Final Exam Fall 2007...

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1/6 Name: _______________________________ _ MAT295:UC - Final Exam Fall 2007 Instructions: Put your full name on the top of the front page. Read all questions carefully and answer them fully, showing all work. Answers must be simplified only where such is given in the statement of the individual problem. All answers must be left in exact form. Unsupported answers and illegible work may receive little or no credit. You must stop immediately when time is called. Short Answer Section. No partial credit. 1. Fill in the blank. (3 pts. each) (a) = ~ dx J (b) = cos x dx J d (c) cos x 2. Solve for x. (3 pts. each) (a) (b) ______ log", 8 = 3 3. (4 pts.) The definition of continuity says that a function f(x) is continuous at x a if what equation holds? 4. (5 pts.) Multiple choice. (a) Which is the graph of f (x) if you know these facts: f (x) is increasing on the interval (4, 00) f (x) has an inflection point at the point (-1,0) 1'( -2) = O. 1. (b) ---- = tan- 1 ( v;) 7r 7r 7r b. 7r e. none of these. a. 4 c. 6 d. 2 3

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2/6 5. Suppose that f is a function that is both continuous and differentiable at every number and that f(l) 3 and f(5) = 11. (3 pts. each)
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MAT295-2007FallUC - Name 1/6 MAT295:UC Final Exam Fall 2007...

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