A particle moves along the x -axis so that at time t≥0 its position is given by x(t)=2t3+3t2−36t+50 . What is the total distance traveled by the particle over the time interval 0≤t≤5 ?

Acoffee shop orders at most $3,500 worth of coffee and tea. the shop needs to make a profit of at least $1,900 on the order. the possible combinations of coffee and tea for this order are given by this system of inequalities, where c = pounds of coffee and t = pounds of tea: 6c + 13t ≤ 3,500 3.50c + 4t ≥ 1,900 which graph's shaded region represents the possible combinations of coffee and tea for this order?