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Definition of a derivative-problems-1

Definition of a derivative-problems-1 - handa(nh5757...

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handa (nh5757) – Definition of a derivative – bormashenko – (54880) 1 This print-out should have 15 questions. Multiple-choice questions may continue on the next column or page – find all choices before answering. 001 10.0points 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 10.0points 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 10.0points 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 10.0points For which of the following functions f and corresponding numbers a is the limit lim h 0 (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 10.0points If a construction worker drops a wrench from the top of a building 375 feet high the wrench will be s ( t ) = - 16 t 2 + 375
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handa (nh5757) – Definition of a derivative – bormashenko – (54880) 2 above the ground after t seconds.
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