Math Problem Statement
Solution
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Math Problem Analysis
Mathematical Concepts
Vector Calculus
Surface Integral
Dot Product
Vector Fields
Formulas
Surface Integral Formula: ∫_S F · dA
Vector Field: F = x^2y î + yz ĵ + (x + 3)z k̂
Plane Equation: x + 2z = 4
Theorems
Surface Integral
Parametrization of Surfaces
Suitable Grade Level
Undergraduate (Calculus III)
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