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hw11-11-B

# hw11-11-B - Math 170-007 Homework 11/11(B Fall 2010 Given...

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Homework 11/11 (B) Fall 2010 “Given rate of change data, compute total change.” “Total change = Area under the rate of change graph.” 1. An object moves along the y -axis. Its velocity is always 4 m/s. (a) Compute the total change in its position during the time interval 3 t 7 seconds. (b) Graph the rate of change (velocity) data. Be sure to correctly label your graph. (c) Shade an area in your graph the perfectly matches your computation from part (a). 2. The temperature, T , of a cooling object is a function of time x . The table below contains rate of change data for T . x (s) 0 5 10 15 20 25 T ( C/s) - 1 . 0 - 0 . 60 - 0 . 30 - 0 . 15 - 0 . 05 0 (a) Estimate Δ T on the interval [0 , 30]. (b) Graph the rate of change data. (c) Shade an area in your graph that exactly matches your computation from (a). 3. The volume of water in a tank is is function of time, V ( t ), with volume in gallons and t in minutes. Suppose that V ( t ) is given by the graph at right. For each problem

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hw11-11-B - Math 170-007 Homework 11/11(B Fall 2010 Given...

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