MAT136H1 Lecture : 5.1 Integration & Anti-derivatives Area Estimate Under a Function Question #3 (Easy)

• School: UTSG
• Department: Mathematics
• Course: MAT136H1
• Professor: all

Document Summary

Question #3 (easy): estimating the total amount over the time interval. Any type of rate can be given over a time interval. But they can all be translated into the left and right endpoint calculation for the lower and upper estimates for any total amount asked for over the interval. First, establish the input variables needed for summation regardless of the lower or upper estimates: This means 8 rectangles between the data points -> Since the rates are consistently decreasing over the time interval: using the rates at the beginning is same as using the left endpoints. So the total amount of water leaked using rates at the beginning is: using the rates at the end is same as using the right endpoints.