For the function given below, find a formula for the Riemann sum obtained by dividing the interval [0,27] into n equal subintervals and using the right-hand endpoint for each ck. Then take a limit of this sum as n → ∞ to calculate the area under the curve over [0,27]. f(x) = 729-x² Write a formula for a Riemann sum for the function f(x) = 729-x² over the interval [0,27]. S₁ = (Type an expression using n as the variable.)

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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For the function given below, find a formula for the Riemann sum obtained by dividing the interval [0,27] into n equal subintervals and using
the right-hand endpoint for each ck. Then take a limit of this sum as n → ∞ to calculate the area under the curve over [0,27].
f(x) = 729-x²
Write a formula for a Riemann sum for the function f(x) = 729 – x² over the interval [0,27].
(Type an expression using n as the variable.)
Sn
=
Transcribed Image Text:For the function given below, find a formula for the Riemann sum obtained by dividing the interval [0,27] into n equal subintervals and using the right-hand endpoint for each ck. Then take a limit of this sum as n → ∞ to calculate the area under the curve over [0,27]. f(x) = 729-x² Write a formula for a Riemann sum for the function f(x) = 729 – x² over the interval [0,27]. (Type an expression using n as the variable.) Sn =
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