
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 C with the equation $y^2=4x$ ($x>0$), and the curve E is an ellipse with foci $F_1(-1,0)$ and $F_2(1,0)$. Point P is the intersection of curve C and curve E in the first quadrant, and $|PF_{2}|= \frac {5}{3}$.  
(1) Find the standard equation of curve E;  
(2) Line l intersects ellipse E at points A and B. If the midpoint M of AB is on curve C, find the range of values for the slope $k$ of line l.

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