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# (Solved): need matlab code on how this is done  Write a Matlab function program der $$4(x, y)$$ which, ...

need matlab code on how this is done

Write a Matlab function program der $$4(x, y)$$ which, given the value of a function at five base points $$(x, y)$$, uses a fourth degree interpolating polynomial to evaluate the deriyasive of the function at the last base point. Use the Matlab utilities polyfit polydeand polyval o do this. Use this function program to solve the following problem: Calculate the enthalpy of vaporization $$\mathrm{h}_{\mathrm{g}}$$ of water at $$95^{\circ} \mathrm{C}$$ to at least 5 significant figures from the Clapeyron equation $(d P / d T)_{s a t}=h_{f g} /\left(T v_{f g}\right)$ Here $$(d P / d T)_{\text {sat }}$$ is the slope of the vaporization line, $$T$$ is absolute temperature $$\left({ }^{\circ} K={ }^{\circ} \mathrm{C}+273.15\right)$$ and $$v_{f g}$$ is the difference in specific volume between saturated liquid and saturated vapor $$\left(v_{f g}=v_{g}-v_{f}\right)$$. Use five equally spaced base points which includes the point at $$T=95^{\circ} \mathrm{C}$$ and use a spacing between the base points of $$5,10,15$$ and $$20^{\circ} \mathrm{C}$$. In each case, compare your calculated value of $$h_{f g}$$ with that reported in the table and comment on the accuracy of your results.

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MATLAB function script in text (der4.m) function dy = d
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