1. Translate the following sentences into differential equations. (4) a. The rate of change of a function is proportional to the cosine of the function. b. The rate of change of a function is proportional to the reciprocal of the logarithm of the function. 2. Draw a phase line for this differential equation and label the trajectories. You may assume this is a population model and p 2 0. (5) dp E = (p 402(1) 5)(P 8) 3. Draw a phase line for this differential equation and label the trajectories. You may assume this is a population model and p 2 0