Draw the graph of the function z = f(x, y) = x + y in R....

 

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Draw the graph of the function z = f(x, y) = x² + y² in R³. Hint: For any contant r > 0, set z = r which gives x² + y² = r. What shape does this equation correspond to? What happens when r become small/large? Draw the graph of the function z = f(x, y) = x² + y² in R³. Hint: For any contant r > 0, set z = r which gives x² + y² = r. What shape does this equation correspond to? What happens when r become small/large?

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