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 (16₂ f(21)Az). k=1 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.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.6: Permutations
Problem 47E
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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.
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.
d. Find f(x) in terms of k and n.
f(xk) =
←
e. Find ƒ(xê)▲x in terms of k and n.
f(xk.) Ax=
←
Transcribed Image Text:d. Find f(x) in terms of k and n. f(xk) = ← e. Find ƒ(xê)▲x in terms of k and n. f(xk.) Ax= ←
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