Just I have used the Lagrange multipliers method and find the solution to the problem.
I have given detailed solution.



= xy2 on the circle Question 5. (15 pts) Find the maximum and minimum of f(x,y)...
Question 5. (15 pts) Find the maximum and minimum of f(t,y) = ry? on the circle x2 + y2 = 1
Question 5. (15 pts) Find the maximum and minimum of S(,y) 22 + y2 = 1. on the circle
Question 3 0.3 pts Find the absolute maximum and minimum values of f (x,y) = xy? - 2 - 1 on the circular region D= {(x,y) | x2 + y2 <4}. maximum value = minimum value = (enter integers or fractions)
QUESTION 18 Let M and m denote the maximum and the minimum values of f(x, y) = x2 - 2x + y2 +3 in the disk 2? + y2 < 1. Find M + m. OA 8 OB. 7 Ос 5 OD 4 OE 12
Find the absolute maximum and minimum values of f(x,y) = 2x + y4 on the set D = {(x,y) x2 + y2 <1}.
(1 point) Find the maximum and minimum values of the function f(x, y) = 3x² – 18xy + 3y2 + 6 on the disk x2 + y2 < 16. Maximum = Minimum =
1. Find the absolute maximum and minimum values of f(r,y) = x2+y2+5y on the disc {(x, y) | x2+y2 < 4}, and identify the points where these values are attained 2. Find the absolute maximum and minimum values of f(x, y) = x3 - 3x - y* + 12y on the closed region bounded by the quadrilateral with vertices at (0,0), (2,2), (2,3), (0,3), and identify the points where these values are attained. 3. A rectangular box is to have...
4. Find the maximum and minimum values of f(x, y) = 4x2 + 10y2 on the disk x2 + y2 < 4.
(2 points) Find the maximum and minimum values of the function f(x, y) = 2x2 + 3y2 – 4x – 5 on the domain x2 + y2 < 100. The maximum value of f(x, y) is: List the point(s) where the function attains its maximum as an ordered pair, such as (-6,3), or a list of ordered pairs if there is more than one point, such as (1,3), (-4,7). The minimum value of f(x,y) is: List points where the function...
2. (4 pts) Let f(x,y) =x2+y2.
Mark the locations where f attains its minimum and maximum on the
triangle constraint shown in Figure 1. Clearly indicate “minimum”
or “maximum” at each location.
2 0 X FIGURE 1. Figure for Problem 2. 2. (4 pts) Let f(x, y) = x2 + y². Mark the locations where f attains its minimum and maximum on the triangle constraint shown in Figure 1. Clearly indicate "minimum" or "maximum" at each location.