
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 that $f'(x)$ is the derivative of the function $f(x)$, and $f''(x)$ is the derivative of the function $f'(x)$, if the equation $f''(x)=0$ has a real number solution $x_{0}$, then the point $(x_{0},f(x_{0}))$ is called the inflection point of the function $f(x)$. A student found that any cubic function $f(x)=ax^{3}+bx^{2}+cx+d(a\neq 0)$ has an inflection point, any cubic function has a symmetry center, and the inflection point is the symmetry center. Let $g(x)=x^{3}-3x^{2}+4x+2$, using the above findings, calculate: $g( \frac {1}{10})+g( \frac {2}{10})+g( \frac {3}{10})+…+g( \frac {19}{10})=$\_\_\_\_\_\_.

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