Answer the following MCQ questions: 1. In comparison to Jacobi's iteration method, the gauss-seidel method converges >Much slower > Much faster > The same >None of the above he defined as:

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.6: Exponential And Logarithmic Equations
Problem 64E
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Answer the following MCQ questions:
1. In comparison to Jacobi's iteration method, the gauss-seidel method
converges
Much slower
> Much faster
> The same
None of the above
2. True Relative Error can be defined as:
> (True Value - Approximate Value)/True Value
> True Value - Approximate Value
> (True Error/True Value) *100%
➤ (True Value - Approximate Value) *100%/True Value
3. In Newton's -Divided Difference Method, the formula f(x) = f[x0] + (x
- x0) f[x0, x1] + (x - x0) (x-x1) f [x0, x1, x2], can represent:
> Cubic Interpolation
► Linear Interpolation
> Quadratic Interpolation
> Other
4. The values of x, y, z in the following system of equations by gauss
Elimination Method 2x + y - 3z = -9, -2y+z=-3, z = 5 are
4, 4, 5 respectively
4, 1, 5 respectively
1, 4, 5 respectively
> None of above
5. If you have been asked to estimate √2 using Newton Raphson method,
then f(x) can be expressed as:
> f(x)=√2
> f(x)=√x
> f(x) = x²-2
>None of the above
Transcribed Image Text:**** Answer the following MCQ questions: 1. In comparison to Jacobi's iteration method, the gauss-seidel method converges Much slower > Much faster > The same None of the above 2. True Relative Error can be defined as: > (True Value - Approximate Value)/True Value > True Value - Approximate Value > (True Error/True Value) *100% ➤ (True Value - Approximate Value) *100%/True Value 3. In Newton's -Divided Difference Method, the formula f(x) = f[x0] + (x - x0) f[x0, x1] + (x - x0) (x-x1) f [x0, x1, x2], can represent: > Cubic Interpolation ► Linear Interpolation > Quadratic Interpolation > Other 4. The values of x, y, z in the following system of equations by gauss Elimination Method 2x + y - 3z = -9, -2y+z=-3, z = 5 are 4, 4, 5 respectively 4, 1, 5 respectively 1, 4, 5 respectively > None of above 5. If you have been asked to estimate √2 using Newton Raphson method, then f(x) can be expressed as: > f(x)=√2 > f(x)=√x > f(x) = x²-2 >None of the above
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