Let $\vec { F } = 5 x \vec { i } + z \vec { j } + ( y + 5 x ) \vec { k }$

question 76

Essay

Let $\vec { F } = 5 x \vec { i } + z \vec { j } + ( y + 5 x ) \vec { k }$ Use Stokes' Theorem to find $\dot { \mathrm { Q } } { \vec { F } \times \overline { d r } }$ where C is a circle in the xz-plane of radius $6$ , centered at $( 6,0 , - 2 )$ oriented $\text { clockw ise }$ when viewed from the positive y-axis.

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