28. [0/4 Points] DETAILS PREVIOUS ANSWERS SCALCET8 9.3.039. MY NOTES In a previous exercise we formulated a model for learning in the form of the differential equation dP = k(M - P) dt where P(t) measures the performance of someone learning a skill after a training time t, M is the maximum level of performance, and k is a positive constant. Solve this differential equation to find an expression for P(t). (Use P for P(t). Assume that P(0) = 0.) m . X What is the limit of this expression? lim P(t) = m t -+ 00 X Need Help? Read It 29. [0/6 Points] DETAILS PREVIOUS ANSWERS SCALCET8 9.3.047. MY NOTES PRACTICE ANOTHER A vat with 300 gallons of beer contains 4% alcohol (by volume). Beer with 6% alcohol is pumped into the vat at a rate of 3 gal/min and the mixture is pumped out at the same rate. What is the percentage of alcohol after an hour? (Round the answer to one decimal place.) 5 .1 * % Need Help? Read It Watch It Submit Assignment Save Assignment Progress