14. [-/0.3 Points] DETAILS Use implicit differentiation to find an equation of the tangent line to the curve at the given point. y sin(16x) = x cos(2y), (1/2, 1/4) Submit Answer 15. [-/0.3 Points] DETAILS Predator-Prey Populations The population of foxes in a certain region over a 2-year period is estimated to be P1(t) = 300 + 60 sin Itt 12 in month t, and the population of rabbits in the same region in month t is given by P2(t) = 5000 + 300 cos Find the rate of change of the populations when t = 4. (Express a decrease in population as a negative rate of change. Round your answers to one decimal place.) fox population foxes per month rabbit population rabbits per month