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Chapter 12: Q 0. (page 903)

Read the section and make your own summary of the material.

Short Answer

Expert verified

A function is a statement, rule, or legislation that establishes a link between the dependent variable and then another dependent variable.

Step by step solution

01

Step 1. Given information

Chapter based on functions is given.

02

Step 2. Explanation

A function is a statement, rule, or legislation that establishes a link between the dependent variable and then another dependent variable.

A function can be defined as a relationship between an amount of parameters having single output each. A function, in simple terms, is a connection between inputs in which each input is pertaining to only one output.

The feature of functions that each input corresponds to exactly single output.

The domain & range are specified for a relation but they're the sets of all x-coordinates and then all the y-coordinates of linear combinations correspondingly.

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Most popular questions from this chapter

Evaluate the following limits, or explain why the limit does not exist.

lim(x,y,z)鈫�(0,0,0)x2+y2x2+y2+z2

Achainruleforfunctionsoftwovariables:Letf(x,y)=x2y3,x=scost,andy=ssint.Substitutetheexpressionsforxandyintof(x,y).

In Exercises, find the maximum and minimum of the function f subject to the given constraint. In each case explain why the maximum and minimum must both exist.

f(x,y)=xywhenx2+4y2=16

Letz=f(x,y)g(x,y).Showthat鈭�z鈭�x=fx(x,y)g(x,y)鈭�f(x,y)gx(x,y)(g(x,y))2and鈭�z鈭�y=fy(x,y)g(x,y)鈭�f(x,y)gy(x,y)(g(x,y))2

Describe the meanings of each of the following mathematical expressions:

fzx0,y0,z0
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