812³ 72i a) The sum n4 n² i=1 Riemann sum of a function f(x) on an interval [0, 6], where b € N, b > 1. Find b, identify f(x) and then sketch the region. b= f(x)= b) Give the closed form of this sum. (Simplify the sum to remove the sign.) Your answer will be a function of n R₁ = represents a right c) Then take the limit of Rn as n→ ∞ to get the exact area of the region under f(x) from x = 0) to x = b. lim n→∞ R₁ = n
812³ 72i a) The sum n4 n² i=1 Riemann sum of a function f(x) on an interval [0, 6], where b € N, b > 1. Find b, identify f(x) and then sketch the region. b= f(x)= b) Give the closed form of this sum. (Simplify the sum to remove the sign.) Your answer will be a function of n R₁ = represents a right c) Then take the limit of Rn as n→ ∞ to get the exact area of the region under f(x) from x = 0) to x = b. lim n→∞ R₁ = n
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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Question
![812³
72i
n4
n²
i=1
Riemann sum of a function f(x) on an interval [0, b],
where b € N, b > 1. Find b, identify f(x) and then
sketch the region.
b =
f(x)=
a) The sum
n
represents a right
b) Give the closed form of this sum. (Simplify the sum to
remove the sign.) Your answer will be a function of
Rn=
lim
n→∞
c) Then take the limit of R₁ as n → ∞ to get the
exact area of the region under f(x) from x = 0) to
= b.
X =
R₁ =](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2af5a58a-26e3-4baa-9073-1b18b1512b13%2F2b25b3a2-2353-4268-88f6-90c822765b86%2F06h33s_processed.jpeg&w=3840&q=75)
Transcribed Image Text:812³
72i
n4
n²
i=1
Riemann sum of a function f(x) on an interval [0, b],
where b € N, b > 1. Find b, identify f(x) and then
sketch the region.
b =
f(x)=
a) The sum
n
represents a right
b) Give the closed form of this sum. (Simplify the sum to
remove the sign.) Your answer will be a function of
Rn=
lim
n→∞
c) Then take the limit of R₁ as n → ∞ to get the
exact area of the region under f(x) from x = 0) to
= b.
X =
R₁ =
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