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.)
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
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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
=](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fcd60671d-13d7-4685-819c-7182a9714b3c%2F8117c48e-7104-42a7-8e76-f67326f7bfab%2Fiz0pqb_processed.png&w=3840&q=75)
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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