Find the Second Derivative of the Function $$s = \frac { t ^ { 7 } + 9 t + 5 } { t ^ { 2 } }$$

question 339

Multiple Choice

Find the second derivative of the function.
- $$s = \frac { t ^ { 7 } + 9 t + 5 } { t ^ { 2 } }$$

• A) \(\frac { d ^ { 2 } s } { d t ^ { 2 } } = 5 t ^ { 4 } - \frac { 9 } { t ^ { 2 } } - \frac { 10 } { t ^ { 3 } }\)
• B) \(\frac { d ^ { 2 } s } { d t ^ { 2 } } = 20 t ^ { 3 } + \frac { 18 } { t ^ { 3 } } + \frac { 30 } { t ^ { 4 } }\)
• C) \(\frac { \mathrm { d } ^ { 2 } \mathrm {~s} } { \mathrm { dt } ^ { 2 } } = 5 \mathrm { t } ^ { 3 } - \frac { 9 } { \mathrm { t } ^ { 3 } } - \frac { 10 } { \mathrm { t } ^ { 4 } }\)
• D) \(\frac { \mathrm { d } ^ { 2 } \mathrm {~s} } { \mathrm { dt } ^ { 2 } } = 20 \mathrm { t } ^ { 5 } + \frac { 18 } { \mathrm { t } } + \frac { 30 } { \mathrm { t } ^ { 2 } }\)

Grasp the strategies for managing inventory based on ABC analysis.

Understand the components and feedback mechanisms of closed-loop MRP.

Identify the main inputs of a material requirements planning (MRP) system.

Recognize the factors influencing the carrying cost of inventory as a percentage of total cost.

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Definitions:

Observation

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Interpret

To explain the meaning of information, words, or actions, often requiring context and understanding of the underlying concepts.

External Factors

Elements outside an organization or system that can affect its performance, including economic conditions, legislation, and social trends.

Perceptual Selection

The process by which individuals filter and interpret sensory information, focusing on certain aspects while ignoring others, based on expectations and preferences.