Can someone help me to solve the problem c since i got a & b =_=. Thanks 1. The

Question

Can someone help me to solve the problem c since i got a & b =_=. Thanks 1. The Briny Solution Revisited Tank C holds 100 litres of a brine solution that Contains 100 grams of salt. At t = 0, a valve at the base of Tank A is opened for exactly ten minutes and brine from Tank A with a concentration of 100 gram per litre is poured into the Tank C at a flow rate of 1 litre per minute. At exactly t = 10 minutes, the flow from Tank A stops and pure water from Tank B begins to flow into Tank C at a flow rate of 1 litre per minute. Throughout this process, i.e., t > = 0, the well-mixed solution in Tank C drains at a rate of 1 litre per minute. Present the analysis to: a) Find the ODE that models the quantity of salt (in grams) in Tank C as a function of time b) Solve the initial value problem to determine the concentration of salt in Tank C as a function of time. e) Find the exact value of t at which the quantity of salt in Tank C is a maximum

Explanation / Answer

Solution :

Since you got x as the function of t in b) part

You can use Second derivative test to find maximum

First find critical points

And see which point is giving maximum

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