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1. The speed of a runner increased steadily during the first three seconds of a race. Her speed at half-second intervals is given in the table. Find lower and upper estimates for the distance that she traveled during these three seconds.
2. Oil leaked from a tank at a rate of r(t) liters per hour. The rate decreased as time passed, and values of the rate at two hour time interval are shown into the table. Find lower and upper estimates for the total amount of oil that leaked out.
3. The velocity graph of a car accelerating from rest to a speed of 105 km/h over a period of 30 seconds is shown. Estimate the distance traveled during this period. (Use M6 to get the most precise estimate. Round your answers to two decimal places.)
4. Write a sum using sigma notation.
5. Find the sum.