Suppose the Mars rover is traveling along a path. At different spots along the path, it collects data about how fast dust is accumulating on it. The table below gives this information: is the distance the rover has traveled and is the rate that the dust is accumulating in mg per km.
Write a right-hand Riemann sum using sigma notation to show the amount of dust that accumulates over the 100 km path given the rates below.
p, the position along path (km) | R(p), the amount of dust per distance traveled (mg/km) |
0 | 6 |
20 | 3.5 |
40 | 2.5 |
60 | 2 |
80 | 1.5 |
100 | 1 |