M 408D Spring 2024 Homework # 10

The Homework #10 solutions will be turned in at the beginning of class in a stapled, fully documented packet, folded along the center vertical line.

---

---

Part I: Section 9.2

• # 19(a), 22

Part II: Section 9.4

• # 3(a),(d), 4(a),(e), 6, 7, 12

  • On both #3(a) and #4(a), first write the equation for P' in the form shown in Example 4 on Page 633.
  • On #3(d), only find the equilibrium solutions.
  • On #4(e), only write a formula for the population after t years.

Part III: Section 9.5

• # 1, 2, 4, 6, 9, 11, 13, 21, 37

Part IV: Another Mixing Problem

• A 200-gallon tank is half full of distilled (pure) water. At time t = 0 minutes, a solution containing 0.5 pound of salt per gallon enters the tank at a rate of 5 gallons per minute, and the well-stirred mixture is withdrawn at the rate of 3 gallons per minute.
• (a) At what time will the tank be full?

• (b) At the time that the tank is full, how many pounds of salt will it contain?

---

---