Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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NEED FORMULA FOR EXCEL

The upward velocity of a rocket is given at three different times shown in Table 2.
The velocity data is approximated by a polynomial as
v(t)= a₁t² + a₂t+a;=
5 ≤t≤12
Find the value of a₁ using Gauss-Seidel or Gauss-Jacobi method. Round off answers to 3 decimal places.
Table 2 Velocity vs. Time Data
Time, t (s) Velocity, v (m/s)
a1=
5
8
12
106.8
177.2
279.2
Transcribed Image Text:The upward velocity of a rocket is given at three different times shown in Table 2. The velocity data is approximated by a polynomial as v(t)= a₁t² + a₂t+a;= 5 ≤t≤12 Find the value of a₁ using Gauss-Seidel or Gauss-Jacobi method. Round off answers to 3 decimal places. Table 2 Velocity vs. Time Data Time, t (s) Velocity, v (m/s) a1= 5 8 12 106.8 177.2 279.2
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