g(x):√4-x2                  a=-1       b=1   n=b

You provided the function \( g(x) = \sqrt{4 - x^2} \) and the values \( a = -1 \), \( b = 1 \), and \( n = b \), though it seems you're asking for more specific details or calculations involving these. Could you clarify whether you're looking for the evaluation of the function over the interval \( [-1, 1] \) or something else like area, limits, or an integral?

Here's an outline of potential interpretations:

1. **Evaluation**: If you want to evaluate \( g(x) \) at \( a = -1 \), \( b = 1 \), or at specific points, I can help calculate that.
2. **Integration**: If you want to find the area under the curve \( g(x) \) from \( a = -1 \) to \( b = 1 \), I can compute the definite integral.
3. **Derivative**: If you are looking for the derivative of \( g(x) \), I can also find that.
4. **Plotting**: I can plot the function \( g(x) \) between \( -1 \) and \( 1 \).
5. **Approximations**: You might want a numerical approximation of something like an integral or sum over the interval using \( n = b \) as the number of subdivisions.

Let me know how you'd like to proceed!

### Example Questions for Next Steps
1. Would you like to compute the derivative of \( g(x) \)?
2. Do you want to evaluate \( g(x) \) at specific points?
3. Should we compute the definite integral over \( [-1, 1] \)?
4. Would you like a plot of \( g(x) \) for visual clarity?
5. Are you looking for numerical approximations using \( n \)?

**Tip**: For functions involving square roots like \( g(x) = \sqrt{4 - x^2} \), remember to check the domain of the function carefully, as \( 4 - x^2 \) must be non-negative.

Explore a calculus problem involving the function g(x) = √(4 - x^2) over the interval [-1, 1]. Learn how to evaluate the function, compute its definite integral, find its derivative, and perform numerical approximations. Suitable for high school seniors and introductory college calculus students.

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