Find the maximum and minimum values of the quadratic form 9x? + 4y? + 3z2 subject to the constraint a +y? + z? = 1 and determine the values of æ, y, and z at which the maximum and minimum occur....

Extracted text: Find the maximum and minimum values of the quadratic form 9x? + 4y? + 3z2 subject to the constraint a +y? + z? = 1 and determine the values of æ, y, and z at which the maximum and minimum occur. Please include sufficient details so that I can follow your solutions.