Find the maximum and minimum moduli of in the closed disk .
Now, by the maximum modulus theorem, the maximum of is on . Let , . Then and then I get a little confused. I do lose the square root part of the modulus at this point, right?
Find the maximum and minimum moduli of in the closed disk .
Now, by the maximum modulus theorem, the maximum of is on . Let , . Then and then I get a little confused. I do lose the square root part of the modulus at this point, right?
If you write as then Therefore If you express everything in terms of then this expression can be greatly simplified to tell you when is maximal.