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Unformatted text preview: handa (nh5757) Definition of a derivative bormashenko (54880) 1 This printout should have 15 questions. Multiplechoice questions may continue on the next column or page find all choices before answering. 001 10.0 points Find the slope of the secant line passing through the points (1 , f (1)) , (1 + h, f (1 + h )) when f ( x ) = 2 x 2 2 x + 1 . 1. slope = 2 h + 2 2. slope = 2 h 2 3. slope = 2 h + 6 4. slope = 4 h 6 5. slope = 4 h 2 6. slope = 4 h + 6 002 10.0 points Find an equation for the tangent line at the point P ( 1 , f ( 1)) on the graph of f ( x ) = 4 x 2 2 x + 3 . 1. y + 10 x + 7 = 0 2. y 10 x 1 = 0 3. y + 10 x 7 = 0 4. y 10 x + 1 = 0 5. y 10 x + 7 = 0 6. y + 10 x + 1 = 0 003 10.0 points Find an expression for the slope of the se cant line through the points P (6 , h (6)) and Q ( x, h ( x )) on the graph of y = h ( x ). 1. slope = h ( x ) h (6) x 6 2. slope = h (6) + h ( x ) 6 + x 3. slope = h ( x ) + h (6) 6 x 4. slope = h ( x ) h (6) 6 + x 5. slope = h (6) h ( x ) x 6 004 10.0 points For which of the following functions f and corresponding numbers a is the limit lim h (1 + h ) 3 1 h the value of f ( a )? 1. f ( x ) = x 3 , a = 3 2. f ( x ) = x 3 , a = 0 3. f ( x ) = ( x 1) 3 , a = 1 4. f ( x ) = ( x + 1) 3 , a = 3 5. f ( x ) = ( x + 1) 3 , a = 1 6. f ( x ) = x 3 , a = 1 005 10.0 points If a construction worker drops a wrench...
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 Spring '10
 Gualdini
 Derivative

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