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Chapter 11: Q18E (page 623)

Sketch the graph of the function \(f\left( {x,y} \right) = 1 + 2{x^2} + 2{y^2}\)

Short Answer

Expert verified

The graph of the function \(f\left( {x,y} \right) = 1 + 2{x^2} + 2{y^2}\)

Step by step solution

01

Step-1: Graph

02

Step-2: Consideration

The function \(f\left( {x,y} \right) = 1 + 2{x^2} + 2{y^2}\)

03

Step-3: Observation

The domain of the function can be found through the function of the graph also

Hence, the graph of the function \(f\left( {x,y} \right) = 1 + 2{x^2} + 2{y^2}\)

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Most popular questions from this chapter

Use polar coordinates to find the limit. If \((r,\theta )\) are polar coordinates of the point \((x, y)\) with \(r \ge 0\) note that \(r \to {0^ + }\) as \((x,y) \to (0,0)\)

\(\mathop {lim}\limits_{(x,y) \to (0,0)} \left( {\frac{{{x^3} + {y^3}}}{{{x^2} + {y^2}}}} \right)\)

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