Find the absolute maximum and the absolute minimum of
the function f(x,y) = 6 - x² - y² over the region R = {(x,y) | -2
<= x <= 2, -1 <= y <= 1 }. Also mention the points at
which the maximum and minimum will occur.
Find the maximum and minimum values of the function
f(x,y,z)=3x−y−3z subject to the constraints x^2+2z^2=49 and
x+y−z=9. Maximum value is Maximum value is , occuring at
( , , ). Minimum value is , occuring at ( , ,
).
Find the absolute maximum and absolute minimum values of
f on the given interval.
f(x) = x3 − 5x + 8, [0, 3]
absolute minimum value
absolute maximum value