About the right and left approximations of the area between a curve and the x-axis, it is correct to state that:    A) The right approach is the closest to the correct value  B) If we use infinite rectangles for the approximation, the sum of the areas of the rectangles will tend to the area of the region between the curve and the x-axis.    C) If the right approach tends to have infinite rectangles, then the left approach will have a different value than the right approach.  D) It is impossible to find the value of the area, as both approaches have errors.  E) Both always have the same value.

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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About the right and left approximations of the area between a curve and the x-axis, it is correct to state that:

 

 A)

The right approach is the closest to the correct value

 B)

If we use infinite rectangles for the approximation, the sum of the areas of the rectangles will tend to the area of the region between the curve and the x-axis.

 

 C)

If the right approach tends to have infinite rectangles, then the left approach will have a different value than the right approach.

 D)

It is impossible to find the value of the area, as both approaches have errors.

 E) Both always have the same value.
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