Question: please solve only the matlap part c 1. Ch19: 19.3, 19.13 19.21 2. Ch20: 20.21 (part a only use MATLAB's integral function), 20.22 3. Ch21:
1. Ch19: 19.3, 19.13 19.21 2. Ch20: 20.21 (part a only use MATLAB's integral function), 20.22 3. Ch21: Consider the experimental data tabulated below, which has been fitted using the function, f(x) = cosh r and its derivative is f'(x) = d'ente a) = sinhx, where x is in radians. 1.0 1.1 1.2 1.3 1.4 1.5 1.6 1.7 1.8 f(x) 1.5 1.69 1.8 1.9 2.0 2.4 2.6 2.8 3.1 While preparing the Lab report, you need to evaluate the derivatives at x = 1.4. (a) Estimate the first and second derivatives, f'(1.4) and f"(1.4), to the highest possible accuracy, for h = 0.2 and using the following differentiation formulas: i. Forward divided difference ii. Backward divided difference iii. Centered divided difference (b) Estimate the first derivative, f'(1.4), using Richardson extrapolation to the highest possible accuracy. (c) Estimate the first derivative, f'(1.4), using the MATLAB built-in function gradient, with h=0.1
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