MA 167 Group Assignment 3

MA 167 Group Assignment 3 - MA 167 Group Work 3 Assignment...

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MA 167 – Group Work - 3 Group Name _________________________ Members ________________________ ________________________ ________________________ ________________________ Assignment due Friday 9/18/09 Average Rates of Change 1. In this problem we will use the function 1 ) ( 2 2 + = t t t V The graph of this function is pictured. a) Find the equation of the tangent line to the graph of V(t) at P = (1, ½). You must use limits and our limit rules to arrive at your answer. No credit for shortcut rules you may have learned in high school. Give an exact answer. b) If s(t) = the slope of the tangent line at the point (t, V(t)), find
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= ) ( lim t s t Limits 2. Use the graph of the function ) ( x f y = to answer the following questions. You need not show your work on this question. a) = ) ( lim 5 x f x b) f (5) = c) The average rate of change between x = 5 and x = 6 equals ________. d) The instantaneous rate of change at x = 6 equals _______. 3.
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MA 167 Group Assignment 3 - MA 167 Group Work 3 Assignment...

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