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Let F=xi+5yj+zk{ \vec { F } } = x \vec { i } + 5 y \vec { j } + z \vec { k }

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Let F=xi+5yj+zk{ \vec { F } } = x \vec { i } + 5 y \vec { j } + z \vec { k } and S be parametric surface r(s,t)=si+tj+(4s+t4)k,0s1,0t2\vec { r } ( s , t ) = s \vec { i } + t \vec { j } + ( 4 s + t - 4 ) \vec { k } , \quad 0 \leq s \leq 1,0 \leq t \leq 2 oriented upward.
Use the formula for a flux integral over a parametric surface to find SFdA\int _ { S } \vec { F } \cdot d \vec { A } .

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Definitions:

Comprehensive Services

A range of extensive services or interventions designed to meet multiple needs of individuals or communities.

Low-income Children

Children living in families with income levels below a given poverty threshold, which varies by country and region.

Infant Mortality Rate

The number of deaths of infants under one year old per 1,000 live births in a given year.

Substandard Child Care

Child care that fails to meet established standards of quality and safety for the well-being of children.

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