Let f(x, y) = x2 – yż and D= {(2,y) : x2 + y2 < 4}. Let m and M be the absolute minimum and maximum values of f over D respectively. What is m - M?
U Question 22 1 pts Find the absolute minimum of f(x, y) = x2 + 4y? - 2x²y + 4 on the square given by -1 << < 1 and -1<y<1. 11 4 8 None of the above or below O-2 07
Determine the absolute maximum and minimum values of the function f(x,y) = xy-exp(-xy) in the region {0<x<2} x {0 <y<b} where 1 <b< . Does the function possess a maximum value in the unbounded region {0 < x <2} x {y >0}?
Question 6 (1 point) Suppose a function f(x) is differentiable everywhere and has a local minimum at x=c. If f(x)<O when x<c, and f'(x)>0 when x>c, then by the Global Interval Method we know x=c is O a local maximum an absolute maximum a local minimum an absolute minimum
Consider the function f(x) = 2 - 6r”, -551<1. The absolute maximum value is and this occurs at I = The absolute minimum value is and this occurs at 2 =
Question 2 < > Solve y"' + 4y' + 8y = 0, y(0) = 1, y'(0) = 6 g(t) = The behavior of the solutions are: O Steady oscillation O Oscillating with decreasing amplitude o Oscillating with increasing amplitude
5. Find the absolute max and absolute min of f(:1, y) = x2 + 2y2 – 2.0 – 4y on the rectangle (<r<2,0 <y<3.
Let X and Y have join density 6 f(x, y) =-(x + y)2, 0 < x < 1, 0 < y < 1
3x +2 <0 and 4x -320
(1 point) Consider the function f(x) = xe-5x, 0<x< 2. This function has an absolute minimum value equal to: which is attained at x = and an absolute maximum value equal to: 1/(5e) which is attained at x =