Solve the Problem $x = \frac { y ^ { 2 } } { 32 } - 4 \ln \left( \frac { y } { 5 } \right) , 8 \leq y \leq 16$

question 31

Multiple Choice

Solve the problem.
-Find the length of the curve $x = \frac { y ^ { 2 } } { 32 } - 4 \ln \left( \frac { y } { 5 } \right) , 8 \leq y \leq 16$ .

• A) \(6 + 4 \ln 2\)
• B) \(8 + 4 \ln \frac { 2 } { 5 }\)
• C) \(6 + 4 \ln \frac { 2 } { 5 }\)
• D) \(8 + 4 \ln 2\)

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Definitions:

Consumer Surplus

The variation between the price consumers are willing to offer for a product or service and the actual payment made.

Price Ceiling

A government-imposed limit on how high the price of a product can be charged in the market, intended to protect consumers from high prices.

Pounds of Berries

A unit of measure indicating the quantity of berries, communicated in terms of their total weight in pounds.

Producer Surplus

The difference between the amount that producers are willing to accept for a good or service and the actual amount they receive.