If $\mathbf { r } ( t ) = 7 \mathbf { i } + t \cos \pi \mathbf { j } + 4 \sin \pi t \mathbf { k }$

question 43

Multiple Choice

If $\mathbf { r } ( t ) = 7 \mathbf { i } + t \cos \pi \mathbf { j } + 4 \sin \pi t \mathbf { k }$ , evaluate $\int _ { 0 } ^ { 1 } r ( t ) d t$

• A) \(7 \mathbf { i } - \frac { 2 } { \pi ^ { 2 } } \mathbf { j } - \frac { 1 } { \pi } \mathbf { k }\)
• B) \(7 \mathbf { i } - \frac { 2 } { \pi ^ { 2 } } \mathbf { j } + \frac { 8 } { \pi } \mathbf { k }\)
• C) \(\mathbf { i } + \frac { 2 } { \pi ^ { 2 } } \mathbf { j } - \frac { 8 } { \pi } \mathbf { k }\)
• D) \(\mathbf { i } - \frac { 2 } { \pi ^ { 2 } } \mathbf { j } + \frac { 1 } { \pi } \mathbf { k }\)
• E) \(7 \mathbf { i } + \frac { 2 } { \pi ^ { 2 } } \mathbf { j } + \frac { 8 } { \pi } \mathbf { k }\)

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Definitions:

Credit Sales

Transactions where goods or services are sold and payment is delayed, often creating accounts receivable.

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Interest calculation method that adds interest to the principal balance monthly, increasing the amount of subsequent interest.

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Due

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