The temperature T at a point (x,y,z) on the sphere x^2 +y^2 + z^2 =1 is given by T(x,y,z) = 400xyz^2. What are the maximum and minimum temperatures?
The answer key said the maximum is (1/2, 1/2, sqrt 2 / 2) and min is (1/2, -1/2, sqrt 2 /2) , (-1/2, 1/2 , sqrt of 2 / 2) which both are 50 degree. I'm still confused however
The answer key said the maximum is (1/2, 1/2, sqrt 2 / 2) and min is (1/2, -1/2, sqrt 2 /2) , (-1/2, 1/2 , sqrt of 2 / 2) which both are 50 degree. I'm still confused however