Maximize the Function F(x, Y) = 2x + Y Subject $x ^ { 2 } + y ^ { 2 } = 1$

question 1

Short Answer

Maximize the function f(x, y) = 2x + y subject to the constraint $x ^ { 2 } + y ^ { 2 } = 1$ Enter your answer exactly in the form $\left( a \sqrt { \frac { b } { c } } , \sqrt { \frac { d } { e } } \right)$ $\left( - h \sqrt { \frac { i } { j } } , \sqrt { \frac { k } { l } } \right)$

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Definitions:

Petroleum

A general term for naturally occurring hydrocarbons, whether liquid, gaseous, or solid.

Thick Shale

Refers to a substantial accumulation of shale rock, which is a fine-grained sedimentary rock formed from clay and silt.

Limestone

A sedimentary rock mainly composed of calcium carbonate, formed either by direct precipitation from marine water or through the accumulation of shell, coral, and algal debris.

Sandstone

a sedimentary rock consisting primarily of sand-sized minerals or rock grains, most commonly quartz.