
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
In the rectangular coordinate system $(xOy)$, the parametric equations of line $l$ are $\begin{cases} x=2+\frac{1}{2}t \\ y=\frac{\sqrt{3}}{2}t \end{cases} (t\text{ is the parameter})$, and curve $C$ has the polar equation $\rho\sin^{2}\theta-4\cos \theta=0$ with the origin $O$ as the pole and the positive semiaxis of $x$ as the polar axis.

(1) Find the ordinary equations of line $l$ and curve $C$.
(2) Given that line $l$ intersects curve $C$ at points $A$ and $B$, and point $M(2,0)$, find the value of $\left| \frac{1}{\left| MA \right|}-\frac{1}{\left| MB \right|} \right|$.

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