Consider the differential equation:
dy/dx=e^{y}(3x^{2}-6x)
a) Sketch a slope field for the given equation and include six
points on the graph.
b) FInd y=f(x), the particular solution to the differential
equation that passes through (1,0).
c) Write an equation for the tangent line to the graph of
*f* at the point (1,0). Use the tangent line to approximate
*f*(1,2).

## Answer

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