The estimated value of \( f(0.6, 0.7) \) using the first-order Taylor approximation is approximately **0.692**.

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**Related Questions:**

1. How accurate is this approximation compared to the exact value of \( f(0.6, 0.7) \)?
2. How would the approximation change if we shifted the expansion point slightly?
3. What is the role of the derivative terms in the Taylor series expansion?
4. Can the Taylor series be applied in cases where the function has discontinuities?
5. How do we determine the radius of convergence for a Taylor series expansion?

**Tip:** Always keep track of rounding errors when working with numerical approximations, especially in higher-order terms.

Explore how to approximate the value of f(0.6, 0.7) using the first-order Taylor approximation method. The estimated value is approximately 0.692. Learn about numerical approximations and the accuracy of this method compared to exact values.

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