Question: please answer from your own work on a paper providing all steps for good feedback. '1. Suppose that the populations of rabbits R and wolves

please answer from your own work on a paper providing all steps for good feedback.

'1". Suppose that the populations of rabbits R and wolves W in a certain geographic region are described by the differential equations dR dW = ELDER Ill.[iD1RW = IIl.IIlEW + DDDUUZRW dt dt a] If R at D and W at I}, what values off? and Windicate stable {unchanging} populations? b) Find an expression for dedR. c] Draw a direction eld for this differential equation in the RWplane. d] Sketch on this same plane the curve that passes through the point (EDD. SDI]. 8. Newton's Law of Cooling states that the rate of cooling [or warming} of an object is proportional to the temperature difference between the object and its surroundings. provided that this difference is not too large. Suppose a bottle of soda at room temperature [72F] is placed in a refrigerator where the temperature is 45F. After half an hour the soda has cooled to 63F. What temperature will the soda be after another hour has passed

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