2. (04.05, 0504,0104 HC) OP 1 = P7,000 . At the start ofthe workday. 35,000 cubic feet of dirt was piled up at a construction site. Dirt will be added tothe pile for the next 8 hours, satisfying the increasmg differential equation 0'! 5( i the function P represents the total amount of dirt in the pile. P is measured in cubic feet, and t is measured in hours from the start ofthe workday. where Part A: Estimate the amount of dirt in the pile after 3 hours, using the tangent line to the graph of P at t = 0 (10 points) dzP Part B: Find and use CW2 to determine if what you found in Part A was an underestimate or an overestimate att : 3. (10 paints] f : l(9372000). Part 0: Find the general solution to the differential equation 6'? 5 (10 pomts) 3. (07.05 MC) Newton's Law of Cooling states that the rate of change of the temperature of an object, T, is proportional to the difference of T and the temperature of its surrounding environment. A pot of chili with temperature 23'C is placed into a -18'C freezer. After 2 hours, the temperature of the chili is 7'C. Part A: Assuming the temperature 7 of the chili follows Newton's Law of Cooling, write a differential equation for T. (10 points) Part B: What is the temperature of the chili after 4 hours? (20 points) Part C: At what time, t, will the chili's temperature be -10*C? (10 points)