6. The figure above shows the slope feld for a dilferentialquation dz () Let g(x

Question

6. The figure above shows the slope feld for a dilferentialquation dz () Let g(x) equation /f(z) dzC be the family of fucntions which are solutions of the differential Determine to the nearest integer the value of z for which all of the members of the family of g(z) will have a relative minimum value. Justify your answer (a) (b) Determine to the nearest integer the value of z for which all of the members of the family of g(x) will have a relative maximum value. Justify your answer (c) On the figure below, sketch the member of the family of g(x) for which 9(0)--2 (d) For the function sketched in part (c), determine the solution(s) of g(x) 0 to the nearest integer

Explanation / Answer

a) From given slope field it can be observed that all therelative minima of g(x) happen at x=2

b) similarly all the relative maxima are occuringat  at x= -1

c) and d) the provided graph is insufficient to tell thenature of g(x) when it is -31

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