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Verify Stokes' Theorem for the vector field $\mathbf{F}=2 x y \mathbf{i}+x \mathbf{j}+ (y+z) \mathbf{k}$ and surface $z=4-x^{2}-y^{2}, z \geq 0,$ oriented with unit normal n pointing upward.
Calculus 1 / AB
Calculus 3
Chapter 15
Integrals and Vector Fields
Section 7
Stokes’ Theorem
Integrals
Vectors
Vector Functions
Johns Hopkins University
Missouri State University
Campbell University
Boston College
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