Please write out all the math that goes into this problem. I don't know where "exp" is or what I use for it.

Exercise 14 (From Atmospheric Science1; 4 pts.) The vertical pressure distribution in the Earth's lower atmosphere can be modeled using the Barometric Law (equation 1, below) GMm (1 1 where Psurf is the surface pressure (in units of Torr) G is the universal gravitational constant (in units of N m2kg2) M is the mass of the Earth (in units of kg) m is a mean molecular mass (in kg particle1) k is Boltzmann's constant (in units of J K1) r is the height (in meters, from the center of the Earth) corresponding to P(r); and rsurf is the height (in meters, from the center of the Earth) corresponding to Psurf; (1) First, write a Matlab program by hand, that computes P using the values for r given in the first line of the table below (table is located on the next page) (2) Next, run your hand-written program in Matlab, to compute each P value using the corresponding value for r in the table located on the next page. For example, to compute P in the second line of the table, use the r value in the second line, etc.) (3) For both (1) and (2), use the following numerical values for G, M, m, k, T, rsurf and Psurf: G = 6.672 x 10-11 m = 4.8149 x 10-26 T 300 Psurf 760 M-5.97 x 1024 k = 1.3807 x 10-23 surf 6.371 x 106 1Caitling, C.D. and Kasting, J.F., Atmospheric Evolution on Inhabited and Lifeless Worlds, Cambridge University Press, 2017. p. 135. CDS-130/07 FALL 2017: HOMEWORK ASSIGNMENT #4 ASSIGNED 25 SEPTEMBER 2017, DUE 2 OCTOBER 2017, NO LATER THAN 7:40PM, IN CLASS, AND IN HARDCOPY P (in Torr) r (in meters) 6.374 x 106 6.378 x 106 6.383 x 106 6.385 x 106 6.393 x 106 6.397 x 106 6.403 x 106 Exercise 14 (From Atmospheric Science1; 4 pts.) The vertical pressure distribution in the Earth's lower atmosphere can be modeled using the Barometric Law (equation 1, below) GMm (1 1 where Psurf is the surface pressure (in units of Torr) G is the universal gravitational constant (in units of N m2kg2) M is the mass of the Earth (in units of kg) m is a mean molecular mass (in kg particle1) k is Boltzmann's constant (in units of J K1) r is the height (in meters, from the center of the Earth) corresponding to P(r); and rsurf is the height (in meters, from the center of the Earth) corresponding to Psurf; (1) First, write a Matlab program by hand, that computes P using the values for r given in the first line of the table below (table is located on the next page) (2) Next, run your hand-written program in Matlab, to compute each P value using the corresponding value for r in the table located on the next page. For example, to compute P in the second line of the table, use the r value in the second line, etc.) (3) For both (1) and (2), use the following numerical values for G, M, m, k, T, rsurf and Psurf: G = 6.672 x 10-11 m = 4.8149 x 10-26 T 300 Psurf 760 M-5.97 x 1024 k = 1.3807 x 10-23 surf 6.371 x 106 1Caitling, C.D. and Kasting, J.F., Atmospheric Evolution on Inhabited and Lifeless Worlds, Cambridge University Press, 2017. p. 135. CDS-130/07 FALL 2017: HOMEWORK ASSIGNMENT #4 ASSIGNED 25 SEPTEMBER 2017, DUE 2 OCTOBER 2017, NO LATER THAN 7:40PM, IN CLASS, AND IN HARDCOPY P (in Torr) r (in meters) 6.374 x 106 6.378 x 106 6.383 x 106 6.385 x 106 6.393 x 106 6.397 x 106 6.403 x 106