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Chapter 12: Q. 16 (page 916)

Provide a rough sketch of the graph of a function of two variables with the specified level "curve(s)." (There are many possible correct answers to each question.)
One level curve consists of all the points $$(m, n)$$

where \begin{equation} m \end{equation} and \begin{equation} n \end{equation} are both integers.

Short Answer

Expert verified

The final graph is:

$$f(x,y): y=x^{2}+2$$

Step by step solution

01

Step 1. Given information

Two variables $$m,n$$ are provided using which the graph is to be drawn for one level curves with specified level.

02

Step 2. Graph

The function will be a graph of $$f(x,y)$$

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Most popular questions from this chapter

Given a function of n variables, z=fx1,x2,…,xn,and a constraint equation, gx1,x2,…,xn=0,how many equations would we obtain if we tried to optimize f by the method of Lagrange multipliers?

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f(x,y,z)=ln⁡(x+y+z)

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afind the equation of the line tangent to the surface defined by the function in the xdirection,

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