
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
Psychologists have discovered that the ability of students to grasp concepts, represented by $y$, is related to the time spent presenting the concepts, denoted by $x$ (in minutes), through the functional relationship $y=-0.1x^2+2.6x+43$ where $0 \leq x \leq 30$. A higher value of $y$ indicates a stronger ability to accept concepts.  
（1）Within which range of $x$ does the students' ability to accept concepts increase progressively? Within which range does it decrease progressively?  
（2）What is the students' ability to accept concepts at the 10th minute?  
（3）At which minute is the students' ability to accept concepts the strongest?

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