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Determine which values of $x$ and $y,$ if any, are not permissible. In Exercise $27,$ explain your answer.$$f(x, y)=\sqrt{x^{2}-x^{2} y+y^{2}-y^{3}}$$

$y \leq 1$

Calculus 3

Chapter 29

Partial Derivatives and Double Integrals

Section 1

Functions of Two Variables

Partial Derivatives

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we want to identify for which values of X and Y are function F is defied. Our functional alphabet is F of x. Y equals x squared minus x squared Y plus y squared by this wife. You. This question is challenges the answer for which X and Y does have a valid output. So this essentially then a domain problem. Remember that for domains is defined for the three conditions here where a the denominator of our functional equals zero. For any argument under a square root, the argument must go to the zero and see for any natural algorithm the argument of the natural log or for the log is greater than zero. Thus we see that there is no denominator and there is no longer rhythm here but we do have to satisfy will be so from ruby we get that X squared minus x squared y plus y squared minus Y. You must be greater than zero. Thus we finished analyzing this function and we have that F is defined for all X Y satisfying the highlighted condition.

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