For time 0 St 8, people arrive at a venue for an outdoor concert at a rate modeled by the function A defined by A (0) 0.3 sin(1.9t) +0.3 cos(0.66) + 1.3. For time 0 sisi. no one leaves the venue, and for time 1st S 8 people leave the venue at a rate modeled by the function defined by Lt) 0.2 cos(1.91) + 0.2 sint +0.8. Both A (t) and (t) are measured in hundreds of people per hout, and t is measured in hours. The number of people at the venue in hundreds, at time thours is given by PC). At time t = 2, there are 6 hundred people at the venue Write an equation for the locally linear approximation of Patt=2 and use it to approximate the number of people at the venue at timet - 2.5