The Helix $\mathbf { r } _ { 1 } ( t ) = 4 \cos t \mathbf { i } + \sin t \mathbf { j } + t \mathbf { k }$

question 7

Multiple Choice

The helix $\mathbf { r } _ { 1 } ( t ) = 4 \cos t \mathbf { i } + \sin t \mathbf { j } + t \mathbf { k }$ intersects the curve $\mathbf { r } _ { 2 } ( t ) = ( 4 + t ) \mathbf { i } + 6 t ^ { 2 } \mathbf { j } + 5 t ^ { 3 } \mathbf { k }$ at the point $( 4,0,0 )$ . Find the angle of intersection.

• A) 0
• B) \(\frac { \pi } { 4 }\)
• C) \(\frac { \pi } { 2 }\)
• D) \(\frac { \pi } { 3 }\)
• E) None of these

---

Definitions:

Job-Order Costing

A costing method used to accumulate costs associated with a specific batch of products or job, allowing for detailed tracking of production expenses.

Overapplied Overhead

A situation where the allocated manufacturing overhead cost is more than the actual overhead incurred.

Manufacturing Overhead

Refers to all the indirect factory-related costs incurred from manufacturing a product that cannot be directly traced to a specific product.

Indirect Labor

The wages paid to employees who are not directly involved in the production of goods or services but support the manufacturing process, such as maintenance staff and supervisors.