If $f ( x , y ) = y e ^ { x y }$

question 60

Essay

If $f ( x , y ) = y e ^ { x y }$ , find the values $x _ { 0 }$ for which $f \left( x _ { 0 } , 5 \right) = 5$ , and then find an equation of the plane tangent to the graph of $f$ at $\left( x _ { 0 } , 5,5 \right)$ .

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Definitions:

Solid-State Switches

Electronic switching devices that control the flow of electricity without moving parts, using semiconductor materials instead.

Moving Parts

Components within a system or machine that move relative to each other to perform a function or task.

Join Wires

The process of connecting two or more electrical wires together to ensure a continuous flow of electricity.

Electrical Resistance

A measure of the opposition to the flow of electric current through a conductor, resulting in electrical energy being converted into heat.