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The Position Function of a Particle Is Given By r(t)=5t2,5t,5t2100t\mathbf { r } ( t ) = \left\langle 5 t ^ { 2 } , 5 t , 5 t ^ { 2 } - 100 t \right\rangle

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The position function of a particle is given by r(t) =5t2,5t,5t2100t\mathbf { r } ( t ) = \left\langle 5 t ^ { 2 } , 5 t , 5 t ^ { 2 } - 100 t \right\rangle When is the speed a minimum?

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Definitions:

Capital Balances

The amount of equity owned by investors or owners in a company or fund.

Net Loss

The amount by which total expenses exceed total revenues in a given period, indicating a financial loss for the business.

Salary Allowance

A predetermined amount of compensation allocated for salaries, possibly including additional benefits or allowances.

Profit Share

The portion of a company's profits allocated to employees or partners as a bonus or incentive.

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