
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 function $$f(x)= \frac {1}{3}x^{3}- \frac {a}{2}x^{2}+bx+c$$, the equation of the tangent line to the curve y=f(x) at the point (0, f(0)) is y=2.
(I) Find the values of b and c.
(II) If a=2, find the extreme values of the function y=f(x).

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