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Invasive species often display a wave of advance as they colonize new areas. Mathematical models based on random dispersal and reproduction have demonstrated that the speed with which such waves move is given by the expression 2\\/ Dr, where r is the reproductive rate of individuals and D is a parameter quantifying dispersal. Calculate v'(r), the derivative of the wave speed with respect to the reproductive rate r. v'(r) = Explain its meaning. '7 v'(r) is the rate of change of the reproductive rate of individuals with respect to invasive species wave speed. '7 v'(r) is the rate of change of invasive species wave speed with respect to the reproductive rate of individuals. '7 v'(r) is the rate of change of the reproductive rate of a population with respect to the invasive species wave speed. C\" v'(r) is the rate of change of invasive species wave speed with respect to the reproductive rate of a population. (7 v'(r) is the rate of change of the reproductive rate of a population with respect to the inverse of invasive species wave speed derivative. Need Help? If a ball is given a push so that it has an initial velocity of 5 m/s down a certain inclined plane, then the distance it has rolled after 1' seconds is given by the following equation. s(t) = 5t + 4:2 (a) Find the velocity azer 2 seconds. m/s (b) How long does it take for the velocity to reach 45 m/s? (Round your answer to two decimal places.) 5