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Unformatted text preview: Winchell, Daniel Homework 10 Due: Oct 31 2006, 3:00 am Inst: Karakhanyan 1 This printout should have 21 questions. Multiplechoice questions may continue on the next column or page find all choices before answering. The due time is Central time. 001 (part 1 of 1) 10 points The derivative of a function f is given for all x by f ( x ) = (2 x 2 2 x 24) 1 + g ( x ) 2 where g is some unspecified function. At which point(s) will f have a local maximum? 1. local maximum at x = 3 2. local maximum at x = 3 , 4 3. local maximum at x = 3 4. local maximum at x = 4 5. local maximum at x = 4 002 (part 1 of 1) 10 points Let f be the function defined by f ( x ) = 5 x 2 / 3 . Consider the following properties: A. concave up on ( , 0) (0 , ) ; B. has local maximum at x = 0 ; C. derivative exists for all x ; Which does f have? 1. B and C only 2. A only 3. All of them 4. B only 5. C only 6. A and C only 7. A and B only 8. None of them 003 (part 1 of 1) 10 points When a b c is the graph of the derivative of a function f , at which critical points x does f have a local minimum? 1. x = a, b, c 2. x = b, c 3. x = b 4. x = a 5. x = c, a 6. x = c 7. none of a, b, c 8. x = a, b 004 (part 1 of 1) 10 points The figure below shows the graphs of three functions: Winchell, Daniel Homework 10 Due: Oct 31 2006, 3:00 am Inst: Karakhanyan 2 One is the graph of a function f , one is its derivative f , and one is its second derivative f 00 . Identify which graph goes with which...
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