Freshness of agricultural products is of considerable economic importance to both producers and consumers. In a study conducted by Jha and Matsuoka (2002, Applied Engineering in Agriculture), a freshness index (i.e., using the sheen/gloss/color as indicator vs. mechanical properties) for eggplant fruit was developed. The property that most correlated with the freshness index was the initial stiffness of the fresh fruit. A typical force vs. displacement data set for fresh eggplant fruit is given below. Force (N) 1.28 1.55 1.80 2.05 2.28 1.40 Displacement (mm) 0.00 0.10 0.20 0.23 0.30 0.40 0.50 0.60 0.70 0.80 0.90 Force (N) Displacement (mm) 0.00 1.00 0.10 1.10 0.10 1.20 0.20 1.30 0.23 0.23 1.50 0.38 1.60 0.56 1.70 0.72 1.80 0.88 1.90 1.09 2.25 2.48 2.60 3.00 3.20 3.50 3.78 Herein, we will quantify and compare mechanical properties similar to the initial tangent stiffness. Therefore, determine 1. initial tangent stiffness, 2. tangent stiffness at 1 N using these two methods: (a) Curve fitting in Excel for this method, select two data points above and two data points below the point of interest (in our case 1 N) and curve fit the points using a cubic polynomial. Next use the Goal Seek method to determine the displacement at 1 N. Then, using the derivative of the cubic, calculate the tangent modulus at the point of interest. Upload your Excel file. (b) Hand drawn smooth curve for this method, draw a smooth curve through the four data points of the previous method. Draw a tangent line at the point of interest (in our case 1 N) on the smooth curve. Graphically calculate the slope of the line, which is the tangent stiffness. Upload a scanned copy of the hand-drawn curve and tangent line. 3. chord stiffness at 1N, and 4. secant stiffness at 1 N of the fresh eggplant fruit