Use Lagrange Multipliers to Find the Minimum Distance from the Circle

question 36

Multiple Choice

Use Lagrange multipliers to find the minimum distance from the circle $x ^ { 2 } + ( y - 4 ) ^ { 2 } = 49$ to the point $( - 10 , - 5 )$ Round your answer to the nearest tenth.

• A)20.4
• B)132.0
• C)418.1
• D)6.5
• E)41.6

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Definitions:

Utility Schedule

A table showing the relationship between quantities of goods consumed and the utility or satisfaction derived from those quantities.

Marginal Utility

The surplus satisfaction or advantage gained upon consuming an incremental unit of a good or service.

Total Utility

The total satisfaction or benefit that a consumer receives from consuming a certain quantity of a good or service.