Use a single variable integral to find the area bounded by the curves x = 0, y = 24, and y = e.
Use a single variable integral to find the area bounded by the curves x = 0, y = 24, and y = e.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
Help with 2 please. Answer for 1 a/b is attached
![三 fx>=200+1
on C0,2J
ー0
ニ
Axニ
Now divide
the interval
Co,2] into N
Subinterval cwith folloang endpoints.
0,
2(N-1).
ノ
The right endpoint Riemamm sum
approximation is
Ax(f()+ f(む+--+ f))
2. 2
( キ++2
ニ
+8,2(
+2.2N
+ メ+)
[N+ (1+2+
N +
ニ
12 ]
Sw =
= [N+2N+1]
SN =
そ(N+ 4 NeN+)
2
ニ
= 2+4(1+
ニ
Now
lim
SNニ
lim
(ス+4(1+
= &+4ニ6](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F280d232d-1286-446a-ae6d-1eaf926f0e1d%2F379ee346-0f18-4a43-8285-7acfc42a7b53%2Fwjejhp_processed.jpeg&w=3840&q=75)
Transcribed Image Text:三 fx>=200+1
on C0,2J
ー0
ニ
Axニ
Now divide
the interval
Co,2] into N
Subinterval cwith folloang endpoints.
0,
2(N-1).
ノ
The right endpoint Riemamm sum
approximation is
Ax(f()+ f(む+--+ f))
2. 2
( キ++2
ニ
+8,2(
+2.2N
+ メ+)
[N+ (1+2+
N +
ニ
12 ]
Sw =
= [N+2N+1]
SN =
そ(N+ 4 NeN+)
2
ニ
= 2+4(1+
ニ
Now
lim
SNニ
lim
(ス+4(1+
= &+4ニ6
![1. Consider the function f(r) = 2x + 1 on the interval [0, 2].
(a) Write down the associated Riemann sum Sy, using N intervals of length and the right endpoint
of each interval as the sample point.
(b) Compute the value of SN and find the limit as N → ∞.
0, y = 2*, and y = e-".
%3D
%3D
2. Use a single variable integral to find the area bounded by the curves x =](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F280d232d-1286-446a-ae6d-1eaf926f0e1d%2F379ee346-0f18-4a43-8285-7acfc42a7b53%2Fsn1j84d_processed.jpeg&w=3840&q=75)
Transcribed Image Text:1. Consider the function f(r) = 2x + 1 on the interval [0, 2].
(a) Write down the associated Riemann sum Sy, using N intervals of length and the right endpoint
of each interval as the sample point.
(b) Compute the value of SN and find the limit as N → ∞.
0, y = 2*, and y = e-".
%3D
%3D
2. Use a single variable integral to find the area bounded by the curves x =
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