Find $f _ { H }$ If $f ( H , T ) = \frac { 5 H + T } { ( 3 - H ) ^ { 3 } }$

question 18

Multiple Choice

Find $f _ { H }$ if $f ( H , T ) = \frac { 5 H + T } { ( 3 - H ) ^ { 3 } }$ .

• A) \(\frac { 15 + 10 H + 3 T } { ( 3 - H ) ^ { 6 } }\)
• B) \(\frac { 15 - 10 H + 3 T } { ( 3 - H ) ^ { 4 } }\)
• C) \(\frac { 15 + 10 H + 3 T } { ( 3 - H ) ^ { 4 } }\)
• D) \(\frac { 15 - 20 H - 3 T } { ( 3 - H ) ^ { 4 } }\)
• E) \(\frac { 5 + 10 H + 3 T } { ( 3 - H ) ^ { 4 } }\)

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Definitions:

Halite

A mineral better known as rock salt, formed by the evaporation of salty water in ancient seas or lakes.

Element F

Fluorine, a highly reactive and electronegative element in the halogen group with the symbol F.

Silicon Tetrahedron

A fundamental structural unit of silicate minerals, consisting of four oxygen atoms surrounding a central silicon atom in a tetrahedral shape.

Silicate Minerals

A group of minerals that contain silicon and oxygen, often with one or more other elements, constituting a major portion of the Earth's crust.