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You've provided an image with several mathematical expressions. You highlighted the equation \( y = 5x^2 - \frac{x}{2} + 1 \).

Would you like me to solve this equation for a specific value of \(x\), find its derivative, or perform another operation? Let me know how you'd like to proceed!

Here are a few ideas:
1. Find the value of \( y \) for a specific value of \( x \).
2. Compute the first derivative \( \frac{dy}{dx} \).
3. Find the second derivative \( \frac{d^2y}{dx^2} \).
4. Plot the function.
5. Determine critical points (maxima, minima).

**Tip**: Understanding the derivative of this quadratic function could give insights into its turning points and behavior.

Explore how to solve the quadratic equation y = 5x^2 - x/2 + 1. Understand its behavior by calculating derivatives, finding critical points, and analyzing the quadratic curve. Suitable for high school students, this problem covers key algebraic and calculus concepts.

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