$$\text { Find the required quantity given the wire that lies along the curve } r \text { and has density } \delta .$$

question 243

Multiple Choice

$$\text { Find the required quantity given the wire that lies along the curve } r \text { and has density } \delta .$$
-Moment of inertia $\mathrm { I } _ { \mathrm { Z } }$ about the $\mathrm { z }$ -axis, where $r ( t ) = ( 4 \sin 3 t ) i + ( 4 \cos 3 t ) j + e ^ { 2 t } k , 0 \leq t \leq 1 ; \delta ( x , y , z ) = z ^ { 2 }$

• A) \(I _ { Z } = \frac { 2 } { 3 } \left[ \left( 144 + 4 e ^ { 4 } \right) ^ { 3 / 2 } - ( 144 + 4 ) ^ { 3 / 2 } \right]\)
• B) \(\mathrm { I } _ { \mathrm { Z } } = \frac { 8 } { 3 } \left( \mathrm { e } ^ { 4 } - 1 \right)\)
• C) \(\mathrm { I } _ { \mathrm { Z } } = \frac { 4 } { 3 }\)
• D) \(\mathrm { I } _ { \mathrm { Z } } = \frac { 2 } { 3 }\)

Differentiate between warm and cold ocean currents and their significance.

Understand the different psychosocial and career functions of mentoring.

Grasp behavior modification strategies and their application in organizational settings.

Recognize the characteristics and practices of transactional and transformational leaders.

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