Solution Found!
No integrals Let F = 2z, z, 2y + x and let S be the
Chapter 13, Problem 36E(choose chapter or problem)
No integrals Let \(\mathbf{F}=\langle 2 z, z, 2 y+x\rangle\) and let S be the hemisphere of radius a with its base in the .iv-plane and center at the origin.
a. Evaluate \(\iint_{S}(\nabla \times \mathbf{F}) \cdot \mathbf{n} d S\) by computing \(\nabla \times \mathbf{F}\) and appealing to symmetry.
b. Evaluate the line integral using Stokes' Theorem to check pan (a).
Text Transcription:
F = langle 2z, z, 2y + x rangle
Iint_s (nabla x F) cdot ndS
Nabla x F
Questions & Answers
QUESTION:
No integrals Let \(\mathbf{F}=\langle 2 z, z, 2 y+x\rangle\) and let S be the hemisphere of radius a with its base in the .iv-plane and center at the origin.
a. Evaluate \(\iint_{S}(\nabla \times \mathbf{F}) \cdot \mathbf{n} d S\) by computing \(\nabla \times \mathbf{F}\) and appealing to symmetry.
b. Evaluate the line integral using Stokes' Theorem to check pan (a).
Text Transcription:
F = langle 2z, z, 2y + x rangle
Iint_s (nabla x F) cdot ndS
Nabla x F
ANSWER:Solution 36E1.