When the area under f(x) = x2 + x from x = 0 to x = 2 is approximated, the formulas for the sum of n rectangles using left-hand endpoints and right-hand endpoints are as follows. Left-hand endpoints: SL = 14 3 − 6 n + 4 3n2 Right-hand endpoints: SR = 14n2 + 18n + 4 3n2 Use these formulas to find SL(12) and SR(12). (Round your answers to two decimal places.) SL(12) = SR(12) =
When the area under f(x) = x2 + x from x = 0 to x = 2 is approximated, the formulas for the sum of n rectangles using left-hand endpoints and right-hand endpoints are as follows. Left-hand endpoints: SL = 14 3 − 6 n + 4 3n2 Right-hand endpoints: SR = 14n2 + 18n + 4 3n2 Use these formulas to find SL(12) and SR(12). (Round your answers to two decimal places.) SL(12) = SR(12) =
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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When the area under
f(x) = x2 + x from x = 0 to x = 2
is approximated, the formulas for the sum of n rectangles using left-hand endpoints and right-hand endpoints are as follows.
Left-hand endpoints: | SL =
|
|||||||
Right-hand endpoints: | SR =
|
Use these formulas to find SL(12) and SR(12). (Round your answers to two decimal places.)
SL(12) | = | |
SR(12) | = |
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