Find the Length of the Indicated Portion of the Curve $\mathbf { r } ( t ) = ( 4 \cos t ) \mathbf { i } + ( 4 \sin t ) \mathbf { j } + 5 t \mathbf { k } , 0 \leq t \leq \pi / 2$

question 30

Multiple Choice

Find the length of the indicated portion of the curve.
- $\mathbf { r } ( t ) = ( 4 \cos t ) \mathbf { i } + ( 4 \sin t ) \mathbf { j } + 5 t \mathbf { k } , 0 \leq t \leq \pi / 2$

• A) \(\frac { 3 t } { 2 } \pi\)
• B) \(\frac { \sqrt { 41 } t } { 2 } \pi\)
• C) \(\frac { \sqrt { 57 } \mathrm { t } } { 2 } \pi\)
• D) \(\frac { \sqrt { 41 } t } { 4 } \pi\)

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Marketing Chain

The sequence of processes involved in the production and distribution of a product or service, which may include suppliers, manufacturers, and retailers, aimed at delivering value to the consumer.

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In supply chain and business contexts, referring to the processes or activities that occur at the beginning of the product lifecycle, including raw material extraction and sourcing.

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Refers to the stages in the production process where processed materials are transformed into final products, or in distribution and supply chain models, the points closer to the end consumer.

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