Math_102_2012_Review_SheetforExam2-1

Math_102_2012_Review_SheetforExam2-1 - Math 102 Review for...

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Math 102 Review for Exam #2 Exam Coverage: Sections 13.1-13.3, 14.1, 14.2, 15.1 Date: Wednesday, March 7, 8 am Rooms Sections Main Auditorium 001, 002, 003, 005, 006, 008, 009, 010, 018, 022, 023, 025 Nesbitt 111 004, 011, 013, 017 Nesbitt 125 019, 020 CAT 61 012, 021, 024 Problems: For problems 1 and 2, make a sign diagram for the first derivative and determine where the function is increasing and decreasing, any relative extrema, make a sign diagram for the second derivative and determine where the function is concave up, concave down and any points of inflection: 1. ( 29 3 2 3 9 7 f x x x x = - - + 2. ( 29 4 3 2 8 18 8 f x x x x = + + + For problems 3 and 4, find the absolute extrema on the given interval: 3. ( 29 3 27 [ 2,2] f x x x on = - - 4. ( 29 2 3 6 [0,5] f x x x on = - 5. The fuel economy (in miles per gallon) of an average American compact car is ( 29 2 .015 1.14 8.3, E x x x = - + + where x is the driving speed (in miles per hour, 20 60 x ). At what speed is the fuel economy the greatest? 6.
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Math_102_2012_Review_SheetforExam2-1 - Math 102 Review for...

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