Please help me solve this problem

Material: Inconel

Density(p) = 8495 kg/m^3

Diameter = 15mm

Length = 45 mm

specific heat capacity (cp) = 4208 J/kg c

Heat lost by the probe = qA = h*A*(Tm-Ts)

Decrease in internal energy of the probe = qm = - p*V*cp*cr

Under equilibrium conditions qA = qm. Solve for h as a function of the midstep temperature Tm

Write a MATLAB script to implement the following steps to complete the exercise and submit the items requested.

Read the Palm oil sheet from the RDData.xlsx file from the data folder of D2L ( The data sample image is below)

Assign the first column to t, and the second column to T

Create new arrays delt and delT as delt = (t(n-1)-t(n)) and delT = (T(n-1)-T(n)). As a check, delT will have positive values and delt will have negative values. With negative delt values, the negative sign in the qm term will be flipped to a positive one, resulting in positive values for h. n is an index that you could use to keep track entries of the time and temperature arrays.

You will need to use delt and delT in computing and visualizing h

Create a cooling rate array cr = delT/delt

Create midstep arrays tm and Tm corresponding to the average of respective consecutive values of t and T. e.g. tm(1)=(t(1)+t(2))/2; Tm(1)=(T(1) +T(2))/2

Code the equation for computing h

Generate a plot of T versus t Generate a plot of h versus tm

Generate a plot of Tm versus cr

A UE time center (22,5 mm) 30 mm 15 mm 2 mm O 846.13912 8 41.24368 841.6707 835.42589 0.125 845.7022 840.88012 841.25793 834.82194 0.25 845.26488 840.49105 840.83484 833.98439 0.375 844.83758 840.09514 840.41348 832.67789 0.5 844.43401 839.72744 839.84968 830.77003 0.625 844.05252 839.28485 838.63009 828.04563 0.75 843.70915 838.32846 836.51118 824.78056 0.875 843.37253 836.54924 833.70043 821.26953 0 1 842.965 834.14679 830.4484 817.51408 1 1.125 842.47426 831.33357 827.08824 813.64375 2 1.25 841.79577 828.2876 823.74032 809.64296 3 1.375 840.85865 825.14285 820.44252 805.54864 4 1.5 839.66224 821.97298 817.14828 801.44956 5 1.625 838.25404 818.83918 813.88697 797.41445 6 1.75 836.60738 815.74556 810.64564 793.46678 7 1.875 834.74664 812.69806 807.4211 789.62147 82 832.72371 809.65943 804.33752 785.9012 9 2.125 830.56993 806.63253 801.31163 782.02245 0 2.25 828.2985 803.63966 798.27191 777.55021 1 2.375 825.9205 800.6397 795.21743 772.01915 2 2.5 823.46528 797.64842 792.24202 765.07764 3 2.625 820.9378 794.62718 789.3099 756.39255 4 2.75 818.3647 791.64905 786.44136 745.77188 5 2.875 815.73913 788.69757 783.61616 733.16007 6 3 813.07993 785.78698 780.81238 718.79202 7 3.125 810.38924 782.9178 777.98552 702.87154 8 3.25 807.68063 780.08749 775.16842 685.85002 9 3.375 804.94913 777.29517 772.40628 668.28499 0 3.5 802.21455 774.51507 769.68621 650.57107 1 3.625 799.46904 771.72991 766.97311 632.98606 2 3.75 796.7201 768.93234 764.25148 615.93634 A UE time center (22,5 mm) 30 mm 15 mm 2 mm O 846.13912 8 41.24368 841.6707 835.42589 0.125 845.7022 840.88012 841.25793 834.82194 0.25 845.26488 840.49105 840.83484 833.98439 0.375 844.83758 840.09514 840.41348 832.67789 0.5 844.43401 839.72744 839.84968 830.77003 0.625 844.05252 839.28485 838.63009 828.04563 0.75 843.70915 838.32846 836.51118 824.78056 0.875 843.37253 836.54924 833.70043 821.26953 0 1 842.965 834.14679 830.4484 817.51408 1 1.125 842.47426 831.33357 827.08824 813.64375 2 1.25 841.79577 828.2876 823.74032 809.64296 3 1.375 840.85865 825.14285 820.44252 805.54864 4 1.5 839.66224 821.97298 817.14828 801.44956 5 1.625 838.25404 818.83918 813.88697 797.41445 6 1.75 836.60738 815.74556 810.64564 793.46678 7 1.875 834.74664 812.69806 807.4211 789.62147 82 832.72371 809.65943 804.33752 785.9012 9 2.125 830.56993 806.63253 801.31163 782.02245 0 2.25 828.2985 803.63966 798.27191 777.55021 1 2.375 825.9205 800.6397 795.21743 772.01915 2 2.5 823.46528 797.64842 792.24202 765.07764 3 2.625 820.9378 794.62718 789.3099 756.39255 4 2.75 818.3647 791.64905 786.44136 745.77188 5 2.875 815.73913 788.69757 783.61616 733.16007 6 3 813.07993 785.78698 780.81238 718.79202 7 3.125 810.38924 782.9178 777.98552 702.87154 8 3.25 807.68063 780.08749 775.16842 685.85002 9 3.375 804.94913 777.29517 772.40628 668.28499 0 3.5 802.21455 774.51507 769.68621 650.57107 1 3.625 799.46904 771.72991 766.97311 632.98606 2 3.75 796.7201 768.93234 764.25148 615.93634