c. Find a general expression for the right endpoint of the kth subinterval [-1, *k], where 1 ≤ k ≤n. Express your answer Xk in terms of k and n. xk =
c. Find a general expression for the right endpoint of the kth subinterval [-1, *k], where 1 ≤ k ≤n. Express your answer Xk in terms of k and n. xk =
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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![c. Find a general expression for the right endpoint æ of the kth subinterval [æk-1, æk], where 1 ≤ k ≤ n. Express your answer
in terms of k and n.
Xk =](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc06466e0-b6af-451e-ad3a-a7add978ace4%2F8ad3acc3-79af-4ca5-85f3-27de5a90d6c3%2Fvoqp5d8_processed.png&w=3840&q=75)
Transcribed Image Text:c. Find a general expression for the right endpoint æ of the kth subinterval [æk-1, æk], where 1 ≤ k ≤ n. Express your answer
in terms of k and n.
Xk =
![In this problem you will calculate the area between f(x) = 5x + 9 and the x-axis over the interval [0, 2] using a limit of right-
endpoint Riemann sums:
Area = lim
n→∞
n
(2₁
k=1
f(xk) Ax
Express the following quantities in terms of n, the number of rectangles in the Riemann sum, and k, the index for the
rectangles in the Riemann sum.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc06466e0-b6af-451e-ad3a-a7add978ace4%2F8ad3acc3-79af-4ca5-85f3-27de5a90d6c3%2Ftyw1qm_processed.png&w=3840&q=75)
Transcribed Image Text:In this problem you will calculate the area between f(x) = 5x + 9 and the x-axis over the interval [0, 2] using a limit of right-
endpoint Riemann sums:
Area = lim
n→∞
n
(2₁
k=1
f(xk) Ax
Express the following quantities in terms of n, the number of rectangles in the Riemann sum, and k, the index for the
rectangles in the Riemann sum.
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