Using Stokess Theorem In Exercises 918, use Stokess Theorem to evaluate In each case, is
Chapter 15, Problem 10(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.
\(\mathbf{F}(x, y, z)=\arctan \frac{x}{y} \mathbf{i}+\ln \sqrt{x^{2}+y^{2}} \mathbf{j}+\mathbf{k}\)
C: triangle with vertices (0, 0, 0),(1, 1, 1), and (0, 0, 2)
Text Transcription:
int_C F cdot dr
F(x, y, z) = arctan x / y i + ln sqrt{x^2 + y^2}j + k
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