question archive A tank with a capacity of 400L is full of a mixture of water and chlorine with a concentration of 0
Subject:MathPrice: Bought3
A tank with a capacity of 400L is full of a mixture of water and chlorine with a concentration of 0.05g of chlorine per liter. In order to reduce the concentration of chlorine, pure water is pumped into the tank at a rate of 4L/s. The mixture is kept stirred and is pumped out at the same rate. How long does it take to reduce the concentration of the solution to 10% of the initial value?
If a perfectly flexible cable, rope, or chain is suspended from its endpoints, with its shape determined only by gravity, it can be modeled by the hyperbolic
cosine function, which is defined as cosh(????) = 1 (???????? + ????−????). Suppose the 2
chain shown in the diagram has a shape given by ????(????) = cosh?(????) meters. Determine the exact length of the chain from ???? = −1 to ???? = 1 (i.e. the horizontal distance is 2m)
I am really confused. Can you help me with these two questions? Thanks!