Hey! I really need help with my calc homework. Please help!

A 17,500-cubic-foot room has 300 smoke particles per cubic foot. A ventilation system is turned on that each minute brings in 700 cubic feet of smoke-free air, while an equal volume of air leaves the room. Also, during each minute, smokers in the room add a total of 10,000 particles of smoke to the room. Assume that the air in the room mixes thoroughly. (a) Find a differential equation and initial condition that govern the total number y(t) of smoke particles in the room after t minutes. y'= 10000 0.04y ./ m) = - x (b) Solve this differential equation and initial condition. Y(t) = X (c) Find how soon the smoke level will fall to 100 smoke particles per cubic foot. (Round your answer to the nearest minute.) 7777 7 min Need Help? i LSubmitAnsweri lrsave Progress | | | Practice Another Version | A graphing calculator is recommended. The water in a 100,000-gallon reservoir contains 0.9 grams of pesticide per gallon. Each hour, 2000 gallons of water (containing 0.01 gram of pesticide per gallon) is added and mixed into the reservoir, and an equal volume of water is drained off. (a) Write a differential equation and initial condition that describe the amount y(t) of pesticide in the reservoir after t hours. y': 200.02y y(0) = 90000 I (b) Solve this differential equation and initial condition. ya) = 89000e0-02' + 1000 v (c) Graph your solution on a graphing calculator and nd when the amount of pesticide will reach 0.02 gram per gallon, at which time the water is safe to drink. (Round your answer to the nearest hour.) hr (d) Use your solution to nd the \"long-run" amount of pesticide in the reservoir. 9 Need Help