proble 27

Problen 27. During a golf match, a certain number of points are awarded for each eagle and a different number for each birdie. No points are awarded for par, and a certain number of points are deducted for each bogey and a different number deducted for each double bogey (or worse). The newspaper report of an important match neglected to mention what these point values were, but did provide the following table of the results Golfer Eagles BirdiesPar BogeysDoubles Points 12 From the information in the table write four equations in terms of four unknowns. Solve the equations for the unknown points awarded for eagles and birdies and points deducted for bogeys and double bogeys 28. The dissolution of copper sulfide in aqueous nitric acid is described by the following chemical equation where the coefficients a, b, c, d, e, f, and g are the numbers of the various molecules participating in the reaction and are unknown. The unknown coefficients are determined by balancing each atom on left and right and then balancing the ionic charge. The resulting equations are There are seven unknowns and only six equations. A solution can still be obtained, however, by taking advantage of the fact that all the coefficients must be positive integers. Add a seventh equation by guessing a and solve the system of equations. The solution is valid if all the coefficients are positive integers. If this is not the case, take a2 and repeat the solution Continue the process until al the coefficients in the solution are positive integers 29. The heat index HI, calculated from the air temperature and relative humid ity, is the apparent temperature felt by the body. An equation used by the National Weather Service for calculating the Hlis given by H1--42.379+2.049015237+10.14333127R-0.22475541TR-6.83783 x 107 -5.481717 x10 2R2 +1.22874 x10TR+8.5282 10TR-1,99 x10-T2R where T is the temperature in F and R is the relative humidity in integer percentage. Write a MATLAB program in a script file that displays the fol- lowing chart of heat index for given air temperature and relative humidity in