Using Stokess Theorem In Exercises 918, use Stokess Theorem to evaluate In each case, is
Chapter 15, Problem 12(choose chapter or problem)
In Exercises 9 - 18, use Stokes's Theorem to evaluate \(\int_{C} \mathbf{F} \cdot d \mathbf{r}\). In each case, C is oriented counterclockwise as viewed from above.
\(\mathbf{F}(x, y, z)=4 x z \mathbf{i}+y \mathbf{j}+4 x y \mathbf{k}\)
\(S: z=9-x^{2}-y^{2}, \quad z \geq 0\)
Text Transcription:
int_C F cdot dr
F(x, y, z) = 4xzi + yj + 4xyk
S: z = 9 - x^2 - y^2, z geq 0
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