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Consider the differential equation:dy/dx=e y (3x 2 -6x) a) Sketch a slope field for the given equation and include sixpoints on the graph. b) FInd

Consider the differential equation:dy/dx=ey(3x2-6x)

a) Sketch a slope field for the given equation and include sixpoints on the graph.

b) FInd y=f(x), the particular solution to the differentialequation that passes through (1,0).

c) Write an equation for the tangent line to the graphof f at the point (1,0). Use the tangent line toapproximate f(1,2).

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