1. State whether the following statements are True or False. Justify your answer with the help of a short proof or a counter-example. No marks are awarded for a question without justification : $$ 2 \times 5=10 $$ (i) The function $$ f(x, y)=x y^{2} \quad $$ satisfies Lipschitz condition on : \[ a \leq x \leq b,-\infty

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Matthews Schultz · Accepted Answer

The function $$ f(x, y) = xy^2 $$ does not satisfy the Lipschitz condition on the domain $$ a \leq x \leq b $$ and $$ -\infty < y < \infty $$, so the statement is False.

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