Question

Let $C$ be a simple closed curve that lies in the $xy$-plane. Assume that the area of the region enclosed by the curve is 2. The curve $C$ is oriented counterclockwise when viewed from above. Use Stokes' Theorem to evaluate the line integral \ $int_C mathbf{F} cdot dmathbf{r}$, \ where $mathbf{F} = frac{z}{2}mathbf{i} + frac{x}{3}mathbf{j} + frac{y}{4}mathbf{k}$ \ (a) 0 quad (b) $frac{1}{2}$ quad (c) $frac{2}{3}$ quad (d) 1 quad (e) 2

Name: Let C be a simple closed curve that lies in the xy-plane. Assume that the area of the region enclosed by the curve is 2. The curve C is oriented counterclockwise when viewed from above. Use Stokes' Theorem to evaluate the line integral intC mathbfF cdot dmathbfr, where mathbfF = fracz2mathbfi + fracx3mathbfj + fracy4mathbfk (a) 0 quad (b) frac12 quad (c) frac23 quad (d) 1 quad (e) 2
Uploaded: 2023-01-09T04:54:07-08:00
Duration: 4 min 32 s
Channel: Sri K
Description: Let C be a simple closed curve that lies in the xy-plane. Assume that the area of the region enclosed by the curve is 2. The curve C is oriented counterclockwise when viewed from above. Use Stokes' Theorem to evaluate the line integral intC mathbfF cdot dmathbfr, where mathbfF = fracz2mathbfi + fracx3mathbfj + fracy4mathbfk (a) 0 quad (b) frac12 quad (c) frac23 quad (d) 1 quad (e) 2

          Let $C$ be a simple closed curve that lies in the $xy$-plane. Assume that the area of the region enclosed by the curve is 2. The curve $C$ is oriented counterclockwise when viewed from above. Use Stokes' Theorem to evaluate the line integral \
$int_C mathbf{F} cdot dmathbf{r}$, \
where $mathbf{F} = frac{z}{2}mathbf{i} + frac{x}{3}mathbf{j} + frac{y}{4}mathbf{k}$ \
(a) 0 quad (b) $frac{1}{2}$ quad (c) $frac{2}{3}$ quad (d) 1 quad (e) 2

$Let C be a simple closed curve that lies in the xy-plane. Assume that the area of the region enclosed by the curve is 2. The curve C is oriented counterclockwise when viewed from above. Use Stokes' Theorem to evaluate the line integral intC mathbfF cdot dmathbfr, where mathbfF = fracz2mathbfi + fracx3mathbfj + fracy4mathbfk (a) 0 quad (b) frac12 quad (c) frac23 quad (d) 1 quad (e) 2$

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