Asked by Mark
Your classmate claims that the the function
f(x,y) = x^3(e^{x^2−3y^2})−(17−3x^2)(y−2)
does not have an absolute maximum nor an absolute minimum when the function is restricted to the disk x^2+y^2 ≤ 7.
Please explain why this is incorrect.
f(x,y) = x^3(e^{x^2−3y^2})−(17−3x^2)(y−2)
does not have an absolute maximum nor an absolute minimum when the function is restricted to the disk x^2+y^2 ≤ 7.
Please explain why this is incorrect.
Answers
Answered by
Steve
the domain of exponentials is all reals.
The domain of all polynomials is all reals.
So, the domain of f(x,y) is all reals
The domain of all polynomials is all reals.
So, the domain of f(x,y) is all reals
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