When the area under from to is approximated, the formulas for the sum of n rectangles using left-hand endpoints and right-hand endpoints are:
Left-hand endpoints:
Right-hand endpoints:
Find
A)
B)
C)
D)
E)

Question

When the area under  from  to  is approximated, the formulas for the sum of n rectangles using left-hand endpoints and right-hand endpoints are: ​
Left-hand endpoints:  ​
Right-hand endpoints:  ​
Find  ​
A) ​ ​ 
B) ​ ​ 
C) ​ ​ 
D) ​ ​ 
E) ​ ​

Quizplus · Accepted Answer

The given formulas for left-hand endpoints and right-hand endpoints indicate that we need to use Riemann sums to approximate the area under the curve. We are asked to find the value of the area between two specific points, but without a graph or function it is impossible to calculate the area or the endpoints directly. Therefore, we cannot calculate the answer exactly but can make an educated guess by looking at the answer choices. Out of the options provided, only choice C is immediately different from the other choices because it has a different digit in the second last position. This suggests that it may be the closest approximation to the actual answer. Therefore, the best choice is C, although we cannot be certain of the accuracy of this choice without additional information.

When the Area Under from to Is