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

question 244

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Find the work done by F over the curve in the direction of increasing t.
- F=yzi+xzj+xyk;C:r(t) =t7i+t5j+t2k,0t1\mathbf { F } = \frac { \mathrm { y } } { \mathrm { z } } \mathbf { i } + \frac { \mathrm { x } } { \mathrm { z } } \mathbf { j } + \frac { \mathrm { x } } { \mathrm { y } } \mathbf { k } ; \mathrm { C } : \mathbf { r } ( \mathrm { t } ) = \mathrm { t } ^ { 7 } \mathbf { i } + \mathrm { t } ^ { 5 } \mathbf { j } + \mathrm { t } ^ { 2 } \mathbf { k } , 0 \leq \mathrm { t } \leq 1

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Definitions:

Selling Price

The amount a customer pays to purchase a product or service.

Manufacturing Costs

The total expense incurred in the process of producing or manufacturing goods, including direct materials, direct labor, and manufacturing overhead.

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The total expense of materials, labor, and overhead assigned to an individual job or project.

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The total expenses involved in the production of goods, including raw materials, labor, and factory overhead.

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