What Is the Z-Coordinate of the Point $P ( 1,3 , z )$

question 2

Essay

What is the z-coordinate of the point $P ( 1,3 , z )$ if P lies on the plane which is tangent to the ellipsoid $4 x ^ { 2 } + y ^ { 2 } + 9 z ^ { 2 } = 17$ at the point $( - 1 , - 2 , - 1 )$ ? Give your answer to four decimal places.

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Definitions:

Union Contracts

Agreements between labor unions and employers detailing wages, working conditions, and rights for union members.

Nonunion Workers

Employees who are not members of a labor union and do not have their employment terms negotiated collectively.

Union Density

The ratio of workers who are union members to the total number of workers in a given region or sector, indicative of the strength and reach of labor unions.

Labor Law

A body of laws, administrative rulings, and precedents which address the legal rights of, and restrictions on, working people and their organizations.