1. Assume that the following polynomial represents the altitude in meters during the first 48 hours following the launch of a weather balloon h(t)--0.12t + 12 Assume that the units of t are hours. a. Use MATLAB symbolic mathematics capabilities to represent the altitude r'-380? + 4100t 220 equation as a symbolic function. b. Use MATLAB symbolic mathematics capabilities to determine the equation for the velocity of the weather balloon, using the fact that the velocity is the first derivative of the altitude function. 1. Assume that the following polynomial represents the altitude in meters during the first 48 hours following the launch of a weather balloon h(t)--0.12t + 12 Assume that the units of t are hours. a. Use MATLAB symbolic mathematics capabilities to represent the altitude r'-380? + 4100t 220 equation as a symbolic function. b. Use MATLAB symbolic mathematics capabilities to determine the equation for the velocity of the weather balloon, using the fact that the velocity is the first derivative of the altitude function