Math Problem Statement
use stokes theorem to evaluate the lone integral for c 4ydx+2zdy+7xdx where c is the intersection of the xy-plane and hemisphere z=sqrt1-x^2-y^2 travesed counterclockwise viewed from the top that is from the positive z axis toward the xy-plane
Solution
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Math Problem Analysis
Mathematical Concepts
Vector Calculus
Stokes' Theorem
Surface Integrals
Formulas
Stokes' Theorem: \( \oint_C \mathbf{F} \cdot d\mathbf{r} = \iint_S (\nabla \times \mathbf{F}) \cdot d\mathbf{S} \)
Theorems
Stokes' Theorem
Suitable Grade Level
Undergraduate
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