For time 0t8, people arrive at a venue for an outdoor concert at a rate modeled by the function A defined by A(t)=0.3sin(1.9t)+0.3cos(0.6t)+1.3. For time 0t1, no one leaves the venue, and for time 1t8, people leave the venue at a rate modeled by the function L defined by L(t)=0.2cos(1.9t)+0.2sint+0.8. Both A(t) and L(t) are measured in hundreds of people per hour, and t is measured in hours. The number of people at the venue, in hundreds, at time t hours is given by P(t).

Is there a time t, for 1

Can you please show me how to solve, step by step