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Find the Work Done by F Over the Curve in the Direction

question 50

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Find the work done by F over the curve in the direction of increasing t.
- F=zi+3xj+6yk;C:r(t) =ti+tj+tk,0t1\mathbf { F } = \mathrm { zi } + 3 \mathrm { x } \mathbf { j } + 6 y \mathbf { k } ; \mathrm { C } : \mathbf { r } ( \mathrm { t } ) = \mathrm { ti } + \mathrm { tj } + \mathrm { t } \mathbf { k } , 0 \leq \mathrm { t } \leq 1

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Definitions:

Consumers

Organisms that obtain their energy by eating other organisms or organic matter instead of producing their own food, as in the case of plants.

Digestion

The breakdown of food into smaller components that can be absorbed and utilized by the body.

Trophic Level

Trophic level pertains to the position an organism occupies in a food chain, ranging from primary producers at the base to apex predators at the top.

Carnivores

Organisms that primarily consume meat from other animals as their source of nourishment.

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