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- The population P (in millions) of Texas from 2001 through 2014 can be approximated by the model P=20.913e0.0184t, where t represents the year, with t=1 corresponding to 2001. According to this model, when will the population reach 32 million?Find d2y/dx2 in terms of x and y. x2y2-10x=1Find d2y/dx2 implicitly in terms of x and y. x2 + y2 = 4
- A researcher in physiology has decided that a good mathematical model for the number of impulses fired after a nerve has been stimulated is given by y=−x2+40x−50, where y is the number of responses per millisecond and x is the number of milliseconds since the nerve was stimulated. (a) When will the maximum firing rate be reached? (b) What is the maximum firing rate?What is the behaviour Of the solution when t approaches to?The yield in bushels from a grove of orange trees is given by Y = x(1000 − x), where x is the number of orange trees per acre. How many trees will maximize the yield?
