
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 functions $$f(x)= \frac {\ln x}{x} , g(x)=(-x^{2}+ax-3)e^{x}$$ (a is a real number).
(1) When a=5, find the equation of the tangent line of the function y=g(x) at x=1.
(2) Find the maximum value of f(x) in the interval [t, t+2].

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