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Textbook Expert
Textbook ExpertVerified Tutor
9 Dec 2021

Given information

The function   is an increasing function.
The number of intervals  .
Each interval value is

Step-by-step explanation

Step 1.
During each time interval of the velocity is approximately constant.
Case 1: For lower estimate of distance we take the velocity at the beginning of each time interval (Left end point).
So lower estimate for the distance travelled for each interval is
Distance
Distance  
Distance  
Distance  
Distance  
Distance  
So total distance travel is sum of the distance travelled in each interval.
 
The lower estimate for the distance travelled by the runner is  

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