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
icon
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
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 =
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 =
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Basic Technical Mathematics
Basic Technical Mathematics
Advanced Math
ISBN:
9780134437705
Author:
Washington
Publisher:
PEARSON
Topology
Topology
Advanced Math
ISBN:
9780134689517
Author:
Munkres, James R.
Publisher:
Pearson,