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Let f(x,y)=3x3+y29x+4yf ( x , y ) = 3 x ^ { 3 } + y ^ { 2 } - 9 x + 4 y

question 105

Essay

Let f(x,y)=3x3+y29x+4yf ( x , y ) = 3 x ^ { 3 } + y ^ { 2 } - 9 x + 4 y . Find the direction at the origin in which f(x,y)f ( x , y ) is decreasing the fastest.


Definitions:

Office Theme

A set of formatting choices including colors, fonts, and effects designed to provide a consistent look across all the documents and presentations created in Microsoft Office products.

Format Column

The action or method of adjusting the appearance of columns in a spreadsheet or table, including width, color, text style, and alignment.

Arithmetic Operator

Symbols used in mathematics and programming to denote operations like addition, subtraction, multiplication, and division.

Range Finder

A device or tool used to measure the distance from the observer to a target, commonly used in photography, golf, and surveying.

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