(c) Find the area of the region by using the limit definition. (d) Find the area using the Fundamental Theorem of Calculus1. (2 pts) Find the particular function which satisfies the differential equation h'(t) = 8 +5, h(1) = -4. 2. (4 pts) Consider the region between the line y = 8 - 4r and the r-axis in the first quadrant. (a) Graph the region. (b) Find the area of the region by recognizing it as a familiar shape and using its area formula.3. (2 pts) The number of people in line at security in the airport t hours after opening can be modeled by the equation L(t) = 0.4+3 - 312 + 3.8t + 42. What is the average number of people in line at security during the first four hours? 4. (2 pts) The rate at which ants arrive at a picnic is given by A(t) = 12 - 6t + 10, where t is given in minutes since the picnic started. (a) How many ants arrived at the picnic during the first 12 minutes? (b) If there were already 10 ants at the picnic when it started, how many total ants are at the picnic after 6 minutes