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.
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.
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter9: Surfaces And Solids
Section9.3: Cylinders And Cones
Problem 39E
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Question
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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