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The heat Index HI, calculated from the air temperature and relative humidity, is the apparent temperature felt by the body. An equation used by the National Weather Service for calculating the HT is given by: X HI -- 42.379 +2.04901523T + 10.14333127R -0.224755417R - 6.83783 x 10-T 5.481717 x 10-*R* +1.22874 x 10-T2R+8.5282 x 10-TR - 1.99 x 10-TR X where T is the temperature in Fahrenheit F, and R is the relative humidity in integer percentage. (a) Write an anonymous function to calculate the heat index HI. Note that the T and R could be vectors. (b) You want to study the Impact of air temperature ind relative humidity on heat index using MATLAB graph. This is, 1. Keep relative humidity fixed (1.6., 50), how heat index changes when air temperature varies from 17 to 78 in Fahrenheit F? ii. Keep air temperature fixed (1.e., 40 in Fahrenheit F). how heat index changes when relative humidity varies from 25 to 90 ? iii. What if the air temperature and relative humidity change simultaneously? This is, how heat index change when air temperature varies from 17 to 78 in Fahrenheit F and relative humidity varies from 25 to 90 ? Draw three plots/graphs in one figure. H = 42.379 + 2,04901523 + 10,143331278 -0.22475641 TR -6.83783 * 10^(-3) T42 548177*10^(-2) R2 +1.22874*10^(-3) T2 R +8.5282. 10^(-4) TR 2-1.99 . 10^-6) T2 R^2 The heat Index HI, calculated from the air temperature and relative humidity, is the apparent temperature felt by the body. An equation used by the National Weather Service for calculating the HI is given by: HI -- 42.379 +2.04901523T + 10.14333127R -0,224755417 R-6.83783 x 10-27 5.481717 x 10-2R +1.22874 x 10-T2R +8,5282 x 10-4TR2 1.99 x 10-TR where T is the temperature in Fahrenheit F, and is the relative humidity in integer percentage (a) Write an anonymous function to calculate the heat index HI. Note that the T and R could be vectors. (b) You want to study the impact of air temperature and relative humidity on heat index using MATLAB graph. This is, i. Keep relative humidity fixed (i.e., 50), how heat index changes when air temperature varies from 17 to 78 in Fahrenheit F? where T is the temperature in Fahrenheit F, and R is the relative humidity in Integer percentage. (a) Write an anonymous function to calculate the heat index HI. Note that the T and R could be vectors. (b) You want to study the impact of air temperature and relative humidity on heat Index using MATLAB graph. This is, 1. Keep relative humidity fixed (i..., 50), how heat index changes when air temperature varies from 17 to 78 in Fahrenheit F? 11. Keep air temperature fixed (ie, 40 in Fahrenheit F), how heat index changes when relative humidity varies from 25 to 90 ? lil. What if the air temperature and relative humidity change simultaneously? This is, how heat index change when air temperature varies from 17 to 78 in Fahrenheit F and relative humidity varies from 25 to 90 ? Draw three plots/graphs in one figure. H = -42.379 + 2,04901523 T + 10.14333127 R -0.22475541 TR -6.83783 + 10^(-3) T2 = 5,481717" 10^(-2) R^2 +1.22874 10^(-3) T2 R +8,5282 . 10^(-4) TR^2 -1.99 . 10^(-6) T-2 R^2