Find the Points on the Hyperboloid of One Sheet $x ^ { 2 } + y ^ { 2 } - z ^ { 2 } = 1$

question 21

Essay

Find the points on the hyperboloid of one sheet $x ^ { 2 } + y ^ { 2 } - z ^ { 2 } = 1$ where the tangent plane is parallel to the plane $2 x - y + z = 3$ .

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Definitions:

Net Operating Income

The profit generated from a company's everyday business operations, excluding expenses and revenues from non-operational activities.

Flexible Budget

A budget designed to adapt by varying in response to the company's activity levels or volume changes.

Revenue and Spending Variances

The difference between the budgeted and actual figures of revenue and expenditure, used for financial planning and control.

Manufacturing Overhead

All indirect costs related to the manufacturing process, excluding direct labor and direct materials.