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Calculate the Flow in the Field F Along the Path

question 80

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Calculate the flow in the field F along the path C.
- F=y2i+zj+xk;C is the curve r(t) =(3+3t) i+2tj2tk,0t1\mathbf { F } = \mathrm { y } ^ { 2 } \mathbf { i } + \mathrm { zj } + \mathrm { xk } ; C \text { is the curve } \mathbf { r } ( \mathrm { t } ) = ( 3 + 3 \mathrm { t } ) \mathbf { i } + 2 \mathrm { tj } - 2 \mathrm { tk } , 0 \leq \mathrm { t } \leq 1


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