Provide an Appropriate Response $e = \frac { Q _ { h } - Q _ { c } } { Q _ { h } }$

question 174

Multiple Choice

Provide an appropriate response.
-A heat engine is a device that converts thermal energy into other forms. The thermal efficiency, e, of a heat engin defined by
$e = \frac { Q _ { h } - Q _ { c } } { Q _ { h } }$ where $\mathrm { Q } _ { \mathrm { h } }$ is the heat absorbed in one cycle and $\mathrm { Q } _ { \mathrm { C } }$ , the heat released into a reservoir in one cycle, is a constant.
Find $\frac { \mathrm { d } ^ { 2 } \mathrm { e } } { \mathrm { dQ } ^ { 2 } }$ .

• A) \(\frac { \mathrm { d } ^ { 2 } \mathrm { e } } { \mathrm { dQ } _ { \mathrm { h } ^ { 2 } } } = \frac { - \mathrm { Q } _ { \mathrm { C } } } { 2 \mathrm { Q } _ { \mathrm { h } ^ { 2 } } }\)
• B) \(\frac { \mathrm { d } ^ { 2 } \mathrm { e } } { \mathrm { dQ } _ { h ^ { 2 } } } = \frac { \mathrm { Q } _ { \mathrm { c } } } { \mathrm { Qh } ^ { 3 } }\)
• C) \(\frac { \mathrm { d } ^ { 2 } \mathrm { e } } { \mathrm { dQ } _ { h ^ { 2 } } } = \frac { \mathrm { Q } _ { \mathrm { c } } } { \mathrm { Qh } ^ { 2 } }\)
• D) \(\frac { d ^ { 2 } e } { d Q _ { h } ^ { 2 } } = \frac { - 2 Q _ { c } } { Q _ { h } ^ { 3 } }\)

Determine the effect of income changes on the demand for goods (normal and inferior goods).

Understand the concept and calculation of cross elasticity of demand.

Apply the midpoint formula to calculate elasticity.

Interpret the significance of elasticity values in economic decision-making.

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Definitions:

Decline

A decrease or reduction in the value, quantity, or quality of something over time.

Entire Economy

Refers to the total system of production and exchange encompassing all sectors and activities within a geographical area or country.

Life Cycle

The series of stages a product or organism goes through from its inception to its termination or decline.

Ethical Decisions

Choices made based on moral principles and values, considering the impact on stakeholders and society.