Suppose that in the absence of foxes, a rabbit population increases by 15% per year; in the absence of rabbits, a fox population decreases by 25% per year; and in equilibrium, there are 1,000 foxes and 8,000 rabbits. a) explain why the volterra-lotka equations aredr/dt = 0.15 r - 0.00015 rf, df/dt = -0.25 f + 0.3125 rfb) suppose we introduce an element of "harvesting", detrimental to the rate of growth of both prey and predator, so that the equations are modified as follows: dr/dt = 0.15 r - 0.00015 rf - 0.1 r, df/dt = -0.25 f + 0.3125 rf - 0.1 fdetermine which population is most affected by this harvesting strategy, by calculating the new equilibrium point.

michael scott & dwight schrute

step-by-step explanation:

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answer: are you

step-by-step explanation:

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step-by-step explanation:

solution:

the given function is ,

      =

the three roots of this quadratic function is , 0 ,8 and 10.all the roots are real and rational.

if a quadratic equation is of the form ,

sum of the roots = a + b +c= 0+8+10=18=  

product of roots taken two at a time = a b + b c+ c a = 0+80+0=80 =  

product of roots = a b c = 0=  

there are 11 doors in a hall starting from 0 to 11.the entry in the hall is permitted through gate number 0 and exit is allowed through only gate number 8 and 10.so, three roots(0,8,10) of quadratic function is given by entry and exit route of this hall.