REVIEW3 - myers(nmm698 Review 3 Hamrick(54868 This...

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myers (nmm698) – Review 3 – Hamrick – (54868) 1 This print-out should have 18 questions. Multiple-choice questions may continue on the next column or page – find all choices before answering. 001 10.0 points Determine f ( x ) when f ( x ) = tan 1 parenleftBig x 3 - x 2 parenrightBig . ( Hint : first simplify f .) 1. f ( x ) = 3 3 - x 2 2. f ( x ) = 3 3 + x 2 3. f ( x ) = x x 2 - 3 4. f ( x ) = x x 2 + 3 5. f ( x ) = 1 3 - x 2 002 10.0 points Find the value of lim x 0 4 x - 6 x 6 x . 1. limit = ln parenleftbigg 3 2 parenrightbigg 1 / 6 2. limit = ln parenleftbigg 3 2 parenrightbigg 6 3. limit = ln parenleftbigg 2 3 parenrightbigg 1 / 6 4. limit = ln parenleftbigg 1 9 parenrightbigg 1 / 6 5. limit = ln parenleftbigg 2 3 parenrightbigg 6 6. limit = ln parenleftbigg 1 9 parenrightbigg 6 7. limit does not exist 003 10.0 points If the graph of f is which one of the following contains only graphs of anti-derivatives of f ? 1. 2. 3.
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myers (nmm698) – Review 3 – Hamrick – (54868) 2 4. 5. 6. 004 10.0 points Find f ( x ) on ( - π 2 , π 2 ) when f ( x ) = 3 2 cos x + sec 2 x and f ( π 4 ) = 5.
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