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Chapter 11: Q46E (page 624)

Draw the graph and contour map of the function:

\(Z = \frac{{x - y}}{{1 + {x^2} + {y^2}}}\).

Short Answer

Expert verified

Answer is not given in the drive

Step by step solution

01

As the values of the\(X{\rm{ and Y}}\)increases, function should flatter out to resemble something like a flat plane. The surface will be a \(xy\)plane for\(x = y\).

02

Contour map

The contour map should show two large mountains that gets flatterand flatter more slowly as\({\rm{x and y}}\)increase.

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Most popular questions from this chapter

Show the equation \({\left( {\frac{{\partial u}}{{\partial x}}} \right)^2} + {\left( {\frac{{\partial u}}{{\partial y}}} \right)^2} = {e^{ - 2s}}\left( {{{\left( {\frac{{\partial u}}{{\partial s}}} \right)}^2} + {{\left( {\frac{{\partial u}}{{\partial t}}} \right)}^2}} \right)\) if\(u = f(x,y)\), where \(x = {e^s}\cos t\) and \(y = {e^s}\sin t.\)

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