If $\mathbf { r } ( t ) = 5 \mathbf { i } + 3 t \cos \pi \mathbf { j } + 4 \sin \pi t \mathbf { k }$

question 7

Multiple Choice

If $\mathbf { r } ( t ) = 5 \mathbf { i } + 3 t \cos \pi \mathbf { j } + 4 \sin \pi t \mathbf { k }$ , evaluate $\int _ { 0 } ^ { 1 } r ( t ) d t$ .

• A) \(5 \mathbf { i } - \frac { 6 } { \pi ^ { 2 } } \mathbf { j } - \frac { 1 } { \pi } \mathbf { k }\)
• B) \(\mathbf { i } - \frac { 6 } { \pi ^ { 2 } } \mathbf { j } + \frac { 1 } { \pi } \mathbf { k }\)
• C) \(\mathbf { i } + \frac { 6 } { \pi ^ { 2 } } \mathbf { j } - \frac { 8 } { \pi } \mathbf { k }\)
• D) \(5 \mathbf { i } - \frac { 6 } { \pi ^ { 2 } } \mathbf { j } + \frac { 8 } { \pi } \mathbf { k }\)
• E) \(5 \mathbf { i } + \frac { 6 } { \pi ^ { 2 } } \mathbf { j } + \frac { 8 } { \pi } \mathbf { k }\)

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Definitions:

Bank Reconciliation

The process of matching and comparing figures from accounting records against those presented on a bank statement.

Cancelled Cheques

Cheques that have been processed by the bank, serving as proof that a payment was made.

Segregation of Duties

A risk management practice that divides responsibilities among different individuals or teams to reduce the risk of error or fraud.

Collusion

A secret agreement or cooperation between two or more parties, often for a fraudulent or deceitful purpose, especially to cheat or deceive others.