3. (20 pts.) Solve the following application problem by using an appropriate method discussed in video lecture. Suppose that the Frye Nuclear Power Plant discharges water containing nuclear waste into a large lake adjacent to the plant. To ensure that the volume of the lake remains constant at 50 million liters, a pumping station located on the opposite side of the lake removes lake water at a rate of 50 liters per minute and uses this water to irrigate a local golf course. Recently, local residents whose homes are located next to the lake have become concerned about the potentially hazardous effect of the nuclear waste in the lake. So, they hired a team of environmental scientists to investigate. The scientists determined that about 2% of the lake water consists of nuclear waste. They also determined that in order for the lake water to be "safe", the level of nuclear waste needs to be less than 0.5%. Determine the rate at which the power plant can discharge waste if this "safe" level is to be reached within 10 years. 3. (20 pts.) Solve the following application problem by using an appropriate method discussed in video lecture. Suppose that the Frye Nuclear Power Plant discharges water containing nuclear waste into a large lake adjacent to the plant. To ensure that the volume of the lake remains constant at 50 million liters, a pumping station located on the opposite side of the lake removes lake water at a rate of 50 liters per minute and uses this water to irrigate a local golf course. Recently, local residents whose homes are located next to the lake have become concerned about the potentially hazardous effect of the nuclear waste in the lake. So, they hired a team of environmental scientists to investigate. The scientists determined that about 2% of the lake water consists of nuclear waste. They also determined that in order for the lake water to be "safe", the level of nuclear waste needs to be less than 0.5%. Determine the rate at which the power plant can discharge waste if this "safe" level is to be reached within 10 years