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M408K Review 2

# M408K Review 2 - Mahon Kevin Review 2 Due Dec 9 2005 6:00...

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Mahon, Kevin – Review 2 – Due: Dec 9 2005, 6:00 pm – Inst: Edward Odell 1 This print-out should have 18 questions. Multiple-choice questions may continue on the next column or page – find all choices before answering. The due time is Central time. Review two covers the material on test 2, namely it covers sections 3.5-3.10, 4.1-4.5 While you can submit answers and get a score as usual this counts 0your final average. 001 (part 1 of 1) 10 points Determine the derivative of f when f ( x ) = x 2 cos x - 2 x sin x . 1. f 0 ( x ) = ( x 2 + 2) sin x 2. f 0 ( x ) = - ( x 2 + 2) sin x 3. f 0 ( x ) = ( x 2 + 2) cos x 4. f 0 ( x ) = - ( x 2 + 2) cos x 5. f 0 ( x ) = ( x 2 - 2) cos x 6. f 0 ( x ) = - ( x 2 - 2) sin x 002 (part 1 of 1) 10 points Find f 0 ( x ) when f ( x ) = 1 x 2 - 6 x . 1. f 0 ( x ) = x - 3 ( x 2 - 6 x ) 3 / 2 2. f 0 ( x ) = 3 - x ( x 2 - 6 x ) 3 / 2 3. f 0 ( x ) = 3 - x ( x 2 - 6 x ) 1 / 2 4. f 0 ( x ) = x - 3 (6 x - x 2 ) 3 / 2 5. f 0 ( x ) = 3 - x (6 x - x 2 ) 3 / 2 6. f 0 ( x ) = x - 3 (6 x - x 2 ) 1 / 2 003 (part 1 of 1) 10 points Find an equation for the tangent line to the graph of f at the point P ( π 4 , f ( π 4 )) when f ( x ) = 7 tan x . 1. y = 7 x + 5 1 - π 2 · 2. y = 14 x + 7 1 - π 2 · 3. y = 9 x + 6 1 - π 4 · 4. y = 21 x + 11 1 - π 4 · 5. y = 18 x + 14 1 - π 4 · 004 (part 1 of 1) 10 points Find the slope of the tangent line to the graph of x 3 - 2 y 3 - xy = 0 at the point P ( - 1 , - 1). 1. slope = - 4 5 2. slope = - 2 3 3. slope = 3 2 4. slope = - 5 4 5. slope = 4 5 6. slope = 5 4

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Mahon, Kevin – Review 2 – Due: Dec 9 2005, 6:00 pm – Inst: Edward Odell 2 005
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