
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
Given the curve $$y=- \frac {1}{3}x^{3}+2x^{2}-3x+1$$.
(1) Find the equation of the tangent line with a slope of -3.
(2) When the slope of the tangent line to the curve is at its maximum, the tangent point is P. A line l is drawn through point P, intersecting the positive semi-axes of the x-axis and y-axis at points A and B, respectively. Find the minimum area of △OAB.

Present the answer in LaTex format: \boxed{Your answer}
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