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( 10 points) The table below shows the speed of a car measured every 10 minutes (

`(1)/(6)`

hour)for an hour. \table[[Time ( hour),0,

`(1)/(6)`

,

`(2)/(6)`

,

`(3)/(6)`

,

`(4)/(6)`

,

`(5)/(6)`

,1],[speed (mile per hour),0,30,45,42,48,50,54]] (a) Use a midpoint-sum with

`n=3`

to estimate the distance traveled. (b) Find an upper estimate the total distance traveled by using

`n=6`

.