Find the Volume of the Solid Generated by Revolving the Region

question 76

Multiple Choice

Find the volume of the solid generated by revolving the region in the first quadrant bounded by the $x$ -axis and the curve $y = \sin 8 x , 0 \leq x \leq \pi / 8$ about the line $x = \pi / 8$ .

• A) \(\frac { \pi ^ { 2 } } { 64 }\)
• B) \(\frac { 1 } { 32 } \pi ^ { 2 } - \pi\)
• C) \(\frac { 1 } { 32 } \pi\)
• D) \(\frac { 1 } { 32 } \pi ^ { 2 }\)

Recognize the trends and changes in farm employment over the past decades.

Assess the effects of export demand on American agriculture.

Identify countries with varying percentages of labor force employed in agriculture.

Comprehend the implications of price supports and subsidies on resource allocation, both domestically and internationally.

---

Definitions:

Supplemental Food

Additional food provided to support or improve the diet of certain groups of individuals or species, often used in conservation and animal husbandry.

Sex Ratios

The proportion of males to females in a population, commonly used in studies of population dynamics, behavior, and evolutionary biology.

Drought

A prolonged period of abnormally low rainfall leading to a shortage of water.

Seychelles Warblers

A small bird species endemic to the Seychelles islands, often studied for its behaviors and evolution.