Find the Area of the Surface Generated by Revolving the Curve

question 60

Multiple Choice

Find the area of the surface generated by revolving the curve about the x-axis. $y = \frac { 1 } { 7 } x ^ { 3 } , 0 \leq x \leq 7$

• A)\(\left( 442 ^ { \frac { 3 } { 2 } } + 1 \right) \pi\)
• B)\(\frac { 7 \left( 64 ^ { \frac { 3 } { 2 } } + 1 \right) } { 51 } \pi\)
• C) \(\frac { 7 \left( 442 ^ { \frac { 3 } { 2 } } - 1 \right) } { 27 } \pi\)
• D) \(\frac { 7 \left( 442 ^ { \frac { 3 } { 2 } } - 1 \right) } { 51 } \pi\)
• E)\(\frac { 7 \left( 442 ^ { \frac { 3 } { 2 } } + 1 \right) } { 27 } \pi\)

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Definitions:

Book

A published material that features pages bound together on one side and encased within protective covers.

Marginal Revenue

The additional income received from selling one more unit of a product or service.

Demand Function

A mathematical representation showing the relationship between the quantity of a good that consumers are willing to buy and its price, along with other factors like income and prices of related goods.

Price Elasticity

The measure of how much the quantity demanded of a good responds to a change in the price of that good.