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Unformatted text preview: c circlecopyrt Kendra Kilmer February 19, 2009 Section 3.4 - The Derivative Example 1: You decide to go on a trip along Highway 6. Your destination is 142 miles away, and it takes you exactly 2 hours to get there. a) What was your average velocity for the trip? b) After you were on the road for an hour, you pass a cop with a radar gun. Assuming the speed limit was 70 mph, were you speeding? The table below represents the cars position every hour: x 1 2 y 90 142 c) Based on the table above, what was the average velocity for the first hour of the trip? d) What was the average velocity for the second hour of the trip? 1 c circlecopyrt Kendra Kilmer February 19, 2009 e) Use the table below to estimate the instantaneous velocity when you passed the cop. The table below represents the cars position near the one hour mark. x . 9 . 99 . 999 1 1 . 001 1 . 01 1 . 1 y 83 . 040 89 . 318 89 . 932 90 90 . 068 90 . 678 96 . 640 Definition: For y = f ( x ) , the average rate of change from x = a...
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