3 Solve [(x²+1)dx with Composite Simpson's 1/3 Rule for n=4 subintervals. 0 Question
3 Solve [(x²+1)dx with Composite Simpson's 1/3 Rule for n=4 subintervals. 0 Question
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
![3
Solve f(x²+1)dx with Composite Simpson's 1/3 Rule for n=4 subintervals.
0.
Question 2.
f(0)=0, f(2)=0,034921, f(4)=0,06993.
Fit f(0)=0, f(2)=0,034921 and f(4)=0,06993 to a curve using Lagrange interpolation. Calculate f(1) and f(5)
using the curve equation you obtained.
Question 3.
The upward speed of a rocket is calculated by the formula.
V = n ln
m
\m-qt,
m
Ş
V = 1000-
- gt
u= 2200
m
s'
mo 160000 kg,
9 = 2680
kg
g=9,81 m/s²
Find the value of t between 15 and 40 using the midpoint method with a relative percentage error le] <3%.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd38207d4-6ced-4d05-8afd-bfb5ec38ee10%2F5d28f38f-55f9-421a-87c7-0d94bded79af%2F2ajg85o_processed.jpeg&w=3840&q=75)
Transcribed Image Text:3
Solve f(x²+1)dx with Composite Simpson's 1/3 Rule for n=4 subintervals.
0.
Question 2.
f(0)=0, f(2)=0,034921, f(4)=0,06993.
Fit f(0)=0, f(2)=0,034921 and f(4)=0,06993 to a curve using Lagrange interpolation. Calculate f(1) and f(5)
using the curve equation you obtained.
Question 3.
The upward speed of a rocket is calculated by the formula.
V = n ln
m
\m-qt,
m
Ş
V = 1000-
- gt
u= 2200
m
s'
mo 160000 kg,
9 = 2680
kg
g=9,81 m/s²
Find the value of t between 15 and 40 using the midpoint method with a relative percentage error le] <3%.
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