Show the details in estimating the area under the curve given by f (x) = 4x - x² on the interval [1, 4] using 6 subintervals of equal width. (a) The width of each sub-interval Ax is: (b) Based on the LEFT endpoint the area of the 3rd strip is: (c) What is the approximate total area for this interval using the LEFT endpoint of each rectangle: (d) What is the approximate total area for this interval using the RIGHT endpoint of each rectangle:
Show the details in estimating the area under the curve given by f (x) = 4x - x² on the interval [1, 4] using 6 subintervals of equal width. (a) The width of each sub-interval Ax is: (b) Based on the LEFT endpoint the area of the 3rd strip is: (c) What is the approximate total area for this interval using the LEFT endpoint of each rectangle: (d) What is the approximate total area for this interval using the RIGHT endpoint of each rectangle:
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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![Show the details in estimating the area under the curve given by f (x) = 4x - x² on the interval [1, 4] using 6 subintervals of equal width.
(a) The width of each sub-interval Ax is:
(b) Based on the LEFT endpoint the area of the 3rd strip is:
(c) What is the approximate total area for this interval using the LEFT endpoint of each rectangle:
(d) What is the approximate total area for this interval using the RIGHT endpoint of each rectangle:](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F24fae4ed-b1b1-4171-bba8-4d29349ae5e5%2Ffe882cac-cdbc-4c9b-91b9-99578bd51355%2Frx55wam_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Show the details in estimating the area under the curve given by f (x) = 4x - x² on the interval [1, 4] using 6 subintervals of equal width.
(a) The width of each sub-interval Ax is:
(b) Based on the LEFT endpoint the area of the 3rd strip is:
(c) What is the approximate total area for this interval using the LEFT endpoint of each rectangle:
(d) What is the approximate total area for this interval using the RIGHT endpoint of each rectangle:
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