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Find the Length of the Indicated Portion of the Curve

question 128

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Find the length of the indicated portion of the curve.
- r(t) =(5+2t) i+(6+3t) j+(46t) k,1t0\mathbf { r } ( \mathrm { t } ) = ( 5 + 2 \mathrm { t } ) \mathbf { i } + ( 6 + 3 \mathrm { t } ) \mathbf { j } + ( 4 - 6 \mathrm { t } ) \mathbf { k } , - 1 \leq \mathrm { t } \leq 0


Definitions:

Transposition

An error in which the order of the digits is changed, such as writing $542 as $452 or $524.

Journalizing

The procedure of logging company transactions in a journal, forming a part of the cycle of accounting.

Debit

An accounting entry showing an increase in assets or expenses or a decrease in equity, liabilities, or revenue.

Credit

An accounting entry that increases liabilities or equity, or decreases assets, reflecting the value of transactions where goods, services, or cash are received.

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