applied calculus HW40(4)

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PynverZnevr1994

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(1 pt) Let w be the number of worms (in millions) and r the number of robins (in thousands) living on an island. Suppose w and r satisfy the following differential equations which correspond to the slope field given below. dw dr dt =-r+wr. de = w-wr, r predator w-1) dr เส้น” (Click on the graph to make a larger image.) w(1-7) At 1 = 0 there 2.4 million worms and 1 thousand robins. (a) Use the differential equations to calculute the derivatives of dwldt and drldt at =0. lo = == (6) Use the initial values and your answer to part (a) to estimate the number of robins and worms at t = 0.1. W: 0.1 = -0.1 = (C) Using the method of parts (a) and (b), estimate the number of robins and worms at t = 0.2 and t = 0.3. W:-0.2 = 7:-0.2 = W-03 = 7:03 = r/predátor) 4 1 / 11 3 | | 2 1 1 1 } 1 I I I I u (prey) 1 2 3 4
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