1. The rate at which cars enter a parking lot is modeled by Et=30+5t-2t-5e-0.2t . The rate at which cars leave the parking lot is modeled by the differentiable function L. Selected values of Lt are given in the table above. Both Et and Lt are measured in cars per hour, and time t is measured in hours after 5_AMt=0 . Both functions are defined for 0 ≤ t ≤ 12. a What is the rate of change of Et at time t=7 ? Indicate units of measure. b How many cars enter the parking lot from time t=0 to time t=12 ? Give your answer to the nearest whole number.