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Unformatted text preview: f will have a local extremum at the xintercepts of f . This eliminates two more Fgures since they contains graphs whose local extrema occur at points other than the xintercepts of f . (ii) An antiderivative of f is increasing on interval where the graph of f lies above the xaxis, and decreasing where the graph of f lies below the xaxis. Consequently, of the two remaining Fgures only consists entirely of graphs of antiderivatives of f . keywords: antiderivative, graphical, graph, geometric interpretation 013 (part 1 of 1) 10 points A particle moving along a straight line has velocity v ( t ) = 5 sin t6 cos t at time t . ind the position, s ( t ), of the particle at time t if initially s (0) = 2. (This is the mathematical model of Simple Harmonic Motion .)...
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This note was uploaded on 02/14/2012 for the course MATH 408 K taught by Professor Clark,c.w./hoy,r.r during the Spring '08 term at University of Texas at Austin.
 Spring '08
 CLARK,C.W./HOY,R.R
 Derivative, Sets

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