Find All Points (X, Y) Where $f ( x , y ) = e ^ { \left( x ^ { 2 } + y ^ { 2 } \right) }$

question 34

Multiple Choice

Find all points (x, y) where $f ( x , y ) = e ^ { \left( x ^ { 2 } + y ^ { 2 } \right) }$ has a possible relative maximum or minimum. Use the second-derivative test to determine, if possible, the nature of f(x, y) at each of these points.

• A) (0, 1) gives a relative minimum point
• B) (0, 0) gives a relative minimum point
• C) (0, 1) gives a relative maximum point
• D) (0, 0) gives a relative maximum point

---

Definitions:

Labour and Overhead

Combined costs of workforce (both direct and indirect labor) and overhead expenses incurred during production.

Blending Department

A division within a manufacturing operation where raw materials are combined to produce a homogeneous product.

Weighted-Average Method

An inventory costing method that calculates the cost of goods sold and ending inventory based on the average cost of all units available for sale.

Conversion Cost

Direct labor cost plus manufacturing overhead cost.