Math Problem Statement

Solution

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Math Problem Analysis

Mathematical Concepts

Multivariable Calculus
Partial Derivatives
Exponential Functions
Critical Points

Formulas

h(x, y) = 1 - e^(-(x^2 + y^2 - 5x))
Partial derivatives: ∂h/∂x, ∂h/∂y

Theorems

First Derivative Test for Local Extrema
Second Derivative Test (Hessian Matrix)

Suitable Grade Level

College level (Multivariable Calculus)

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