At What Point Is the Following Function a Local Maximum $$f ( x , y ) = 3 - 10 x + 12 y - 5 x ^ { 2 } - 6 y ^ { 2 }$$

question 13

Short Answer

At what point is the following function a local maximum?
$$f ( x , y ) = 3 - 10 x + 12 y - 5 x ^ { 2 } - 6 y ^ { 2 }$$

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Definitions:

Stream Transportation

The process by which streams and rivers carry sediment and other materials from one place to another.

Sediment Load

The amount of solid particles, primarily soil and rock, carried by a stream or river, which can affect water clarity and ecosystem health.

Discharge

The act of releasing or expelling a substance, especially the flow of a liquid from a container or the flow of a river into a larger body of water.

Tributaries

Streams or rivers that flow into a larger river or body of water.