hw11-30-A - Math 170-007 Homework 11/30-A Fall 2010 1 The...

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Math 170-007 Homework 11/30-A Fall 2010 1. The graph of a function is shown at right. You can assume that the curved portion of the graph is a semicircle. The function measures force, in units of lbs , with input measured in feet . (a) Compute integraldisplay 4 0 f ( x ) dx . Use any methods, but give correct units. (b) Compute integraldisplay 8 2 f ( x ) dx . Use any methods, but give correct units. 2. Graph the function A ( r ) = 4 - r 2 on the domain 0 r 1. Scale your r -axis so that there are at least ten tickmarks between 0 and 1. Assume that the function A measures area in units of in 2 , and that r is measured in feet . Estimate integraldisplay 1 0 A ( r ) dr Use at least ten rectangles to compute your estimate. Make sure your answer has correct units. 3. The table shows values of a function of time, f ( t ). Units are indicated in the table. Estimate integraldisplay 20 0 f ( t ) dt Use at least ten rectangles to compute your estimate. Make sure your answer has correct units. t (s) 0 2 4 6 8 19 12 14 16 18 20 f
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