Mathematical Modeling & Simulation
HOME WORK # 6
Due Date: One week from date of distribution in the class.
Q.1 In following table we show an experimental data. Compute first and
second derivatives at all points using central difference form.
x
0.1
0.2
0.3
0.4
0.5
0.6
f(x)
2.1
4.5
6.4
8.3
10.2
12.3
Q.2 Find derivative of polynomial using MATLAB for the function:
Q.3 Simulate the area under curve for f(x) = 1/x4 , using trapezoidal rule
with one, two, four, eight and sixteen equal subdivisions between x = 1.0
and 4.0. Also find error in each case.
Q.4 Simulate the area under curve for f(x) = 1/x4 , using Simpson’s rule
with one, two, four, eight and sixteen equal subdivisions between x = 1.0
and 4.0. Also find error in each case.
232798 348 xxxx)x(f
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