Week 1 Assignment x Cengage Learning x MindTap-Cengage Le: x MATH 2770, section C index.html?elSBN 9780357048634&id=324926382&snapshotid=843593& ☆ Q Search th NDTAP tion to Differential Equations AA e Mixtures 9. Suppose that a large mixing tank initially holds 300 gallons of water in which 50 pounds of salt have been dissolved. Pure water is pumped into the tank at a rate of 3 gal/min, and when the solution is well stirred, it is then pumped out at the same rate. Determine a differential equation for the amount of salt A(t) in the tank at time t > 0. What is A(0)? Answer+ dA 100 A (0)=50 A=0 10. Suppose that a large mixing tank initially holds 300 gallons of water in which 50 pounds of salt have been dissolved. Another brine solution is pumped into the tank at a rate of 3 gal/min, and when the solution is well stirred, it is then pumped out at a slower rate of 2 gal/min. If the concentration of the solution entering is 2 lb/gal, determine a differential equation for the amount of salt A(t) in the tank at timet > 0. C Q Search Web ЛА & * 6 7 8 人 MINDTAP duction to Differential Equations Cengage Lex MATH 2770, section 382&snapshotid=843593& ☆ Q Sear In Problems 17, 18, 19, 20, 21, 22, 23, and 24 determine a region of the zy-plane for which the given differential equation would have a unique solution whose graph passes through a point (zo, y) in the region. 18. Answer + half-planes defined by either y> 0 or y < 0 dy 4 dz Answer + C Q Search Web R 5 ^ ♫A 人 & 7 * 8 D 9 AA