Let $h ( x , y , z ) = x ^ { 2 } - 2 x \sin y + z$

question 75

Essay

Let $h ( x , y , z ) = x ^ { 2 } - 2 x \sin y + z$ .Let $f ( x , y , z )$ satisfy $\nabla f ( 1,0,2 ) = \vec { i } - \vec { j } + 4 \vec { k }$ .Explain why the maximum of f subject to the constraint $h ( x , y , z ) = 3$ cannot occur at the point $( 1,0,2 )$ .

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Definitions:

Pointer To Structure

A type of pointer in C or C++ that holds the memory address of a structure, allowing access to its members.

IdNum Member

An attribute or variable within a class or struct in programming that holds or represents an identification number.

Type Employee

Refers to a data type, typically a struct or class, representing an employee, including attributes such as name, ID, and position.

Pointer To Structure

A variable that stores the memory address of a structure, allowing for indirect access and manipulation of the structure's fields.