Question

Problem 6: Water flows from the bottom of one hour (ie.Osts 60 min). a) Find the amount of water that for hand and then round to the nearest tenth of a liter. bottom of a storage tank at a rate of ) - 10 e- liters per minute for a period nt of water that flows from the tank in the last thirty minutes. Set up and calculate the integral by ве Joe D.ORG Ynt (0,03 ] sekt = tokt + c to e-0,086 30 top 0.08130) = to hol d 4 b) Find the volume of water, V(C), in the tank at time t for Osts 60 min, assuming it starts with 200 L of water. In other words, solve the initial value problem: V' (t)=- )--10-0.007with VIO) = 200. 이니 V =- (Again, the answer should be a function oft) Problem 7: Find the mass of a thin bar with the density function: ox) = L OSYS where is in meters and

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Answer 1

6) The flow rate of water from the tank is .

a) The amount of water flowing from the tank in the last 30 minutes is

b) We have,

At , ,

The volume in the tank is