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# ws02 - WORKSHEET 2 Fall 1995 1 For each graph below of a...

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WORKSHEET 2 - Fall 1995 1. For each graph below of a function f ( x ), sketch a graph of its derivative f ( x ): a) b) c) d) e) f) g) h) i) 2. Without using the concept of a limit (and thus derivative), write the equations of all lines through the point ( a, a 2 ) which intersect the curve y = x 2 exactly once. Which of these is the tangent line? Would this process work to determine the tangent lines for any curve? If so, why? If not, give a counterexample. 3. Rectilinear motion is motion of an object along a straight line. Examples of such motion are objects falling under the pull of gravity, a dragster racing along a straight line course, or an airplane flying at level flight along a straight line path. Suppose we have an equation which gives the position of a moving object along a straight line with respect to some reference point labeled 0. Let s ( t ) = 16 t 2 denote the number of feet an object has fallen under the pull of gravity after t seconds has passed from the first moment it was first let go.

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ws02 - WORKSHEET 2 Fall 1995 1 For each graph below of a...

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