SECTION IV: SOLUTIONS TO NONLINEAR-EQUATIONS 2 sin (ex) f(x): X 1. Given f(x) above, find f'(x). 2. Between the interval [1,2] find the two roots of the function using NEWTON- RHAPSON Method. a. Use xo=1 as initial guess #1. b. Use xo-2 as initial guess #2. Use RADIANS MODE in your calculators when solving this problem. =
SECTION IV: SOLUTIONS TO NONLINEAR-EQUATIONS 2 sin (ex) f(x): X 1. Given f(x) above, find f'(x). 2. Between the interval [1,2] find the two roots of the function using NEWTON- RHAPSON Method. a. Use xo=1 as initial guess #1. b. Use xo-2 as initial guess #2. Use RADIANS MODE in your calculators when solving this problem. =
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
![SECTION II: DIRECT METHODS IN SOLVING SYSTEMS OF LINEAR EQUATIONS
1. From the results of Section 1- Item 5, find the solution of the system of linear
equation using GAUSS-JORDAN ELIMINATION. If the results are not reducible to
fractions, write the values up to 6 decimal places.
2. Solve the same system as with Section 1- Item 5, using Cramer's Rule.
SECTION III: ITERATIVE METHODS IN SOLVING SYSTEMS OF LINEAR EQUATIONS
1. From the results of Section 1 - Item 6, find the solution of the system of linear
equation using JACOBI ITERATION. STOP at the 5th Iteration. Compute the
ABSOLUTE ERROR for each iteration. Show the working equation and write the
solution for each iteration very clearly. If the results are not reducible to fractions,
write the values up to 6 decimal places.
2. From the results of Section 1 - Item 6, find the solution of the system of linear
equation using GAUSS-SEIDEL ITERATION. STOP at the 5th Iteration. Compute the
ABSOLUTE ERROR for each iteration. Show the working equation and write the
solution for each iteration very clearly. If the results are not reducible to fractions,
write the values up to 6 decimal places.
SECTION IV: SOLUTIONS TO NONLINEAR-EQUATIONS
ƒ(x) =
2 sin (et)
X
1. Given f(x) above, find f'(x).
2. Between the interval [1,2] find the two roots of the function using NEWTON-
RHAPSON Method.
a. Use x₁=1 as initial guess #1.
b. Use x₁=2 as initial guess #2.
Use RADIANS MODE in your calculators when solving this problem.
2 sin(e)
f(x)
X
0
=
=](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fed74dd0e-98d8-44fd-89c5-6c08d50045b1%2Fa57099ff-0121-4600-a4a0-c446fe941942%2Flthi8p_processed.jpeg&w=3840&q=75)
Transcribed Image Text:SECTION II: DIRECT METHODS IN SOLVING SYSTEMS OF LINEAR EQUATIONS
1. From the results of Section 1- Item 5, find the solution of the system of linear
equation using GAUSS-JORDAN ELIMINATION. If the results are not reducible to
fractions, write the values up to 6 decimal places.
2. Solve the same system as with Section 1- Item 5, using Cramer's Rule.
SECTION III: ITERATIVE METHODS IN SOLVING SYSTEMS OF LINEAR EQUATIONS
1. From the results of Section 1 - Item 6, find the solution of the system of linear
equation using JACOBI ITERATION. STOP at the 5th Iteration. Compute the
ABSOLUTE ERROR for each iteration. Show the working equation and write the
solution for each iteration very clearly. If the results are not reducible to fractions,
write the values up to 6 decimal places.
2. From the results of Section 1 - Item 6, find the solution of the system of linear
equation using GAUSS-SEIDEL ITERATION. STOP at the 5th Iteration. Compute the
ABSOLUTE ERROR for each iteration. Show the working equation and write the
solution for each iteration very clearly. If the results are not reducible to fractions,
write the values up to 6 decimal places.
SECTION IV: SOLUTIONS TO NONLINEAR-EQUATIONS
ƒ(x) =
2 sin (et)
X
1. Given f(x) above, find f'(x).
2. Between the interval [1,2] find the two roots of the function using NEWTON-
RHAPSON Method.
a. Use x₁=1 as initial guess #1.
b. Use x₁=2 as initial guess #2.
Use RADIANS MODE in your calculators when solving this problem.
2 sin(e)
f(x)
X
0
=
=
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