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

Analyze and compare projects using the Internal Rate of Return (IRR) method.

Calculate and interpret the Modified Internal Rate of Return (MIRR) for project evaluation.

Explain the limitations of the Payback Method and its implications on project selection.

Utilize the Equivalent Annual Annuity (EAA) method for project comparison.

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