All the functional dependencies for the given unnormalized table are to be provided and the table is to be converted to 3NF. Also, Whether the obtained set of tables are in fourth normal form is to be determined along with the reasons for the same.

Question

Given function: ~ 2.4 2 + cos( 1 + x³/2) 0.5x dx I = √1 + 0.5 sin x 1. Approximate the integral value of the given function using multiple application Trapezoidal Rule for n = 3, 6, 12 and 24 segments. Show the detailed tabulated results like in the lesson. 2. Improve the integral estimate value of the Trapezoidal rule using Romberg integration. Show the step by step solution for the different extrapolation order of k. Show detailed extrapolation table results like in the lesson. 3. Approximate the first derivative of the given function using the following step sizes h = 0.5 and h = 0.25 at an xi = 0.8 for the truncated forward, backward and centered finite divided difference. Show the detailed step by step solution like in the lesson.

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Chapter 5, Problem 3CATC

To determine

All the functional dependencies for the given unnormalized table are to be provided and the table is to be converted to 3NF.

Also, Whether the obtained set of tables are in fourth normal form is to be determined along with the reasons for the same.

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Given function: ~ 2.4 2 + cos( 1 + x³/2) 0.5x dx I = √1 + 0.5 sin x 1. Approximate the integral value of the given function using multiple application Trapezoidal Rule for n = 3, 6, 12 and 24 segments. Show the detailed tabulated results like in the lesson. 2. Improve the integral estimate value of the Trapezoidal rule using Romberg integration. Show the step by step solution for the different extrapolation order of k. Show detailed extrapolation table results like in the lesson. 3. Approximate the first derivative of the given function using the following step sizes h = 0.5 and h = 0.25 at an xi = 0.8 for the truncated forward, backward and centered finite divided difference. Show the detailed step by step solution like in the lesson.

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