Find the absolute minimum and maximum values of the function on the given region D. Be...

Question

Question

Find the absolute minimum and maximum values of the function on the given region D. Be sure to sketch D.

f(x, y) = x+y-xy, D is the closed triangular region with vertices (0,0), (0,2), and (4,0). Hint: for this region, you have th

math calculus

Answer 1

Answer #1

41 34 2. 111 fr 2. 3

f(x,y)=x+ y - xy f. = 1- y = 0 y=1 fy=1-x=0 x=1 (1.1) is interior critical point f(1,1)= 1; along y=0: f(x) = x f(0) = 0; f(4

x f(x)=x+2 f(x) = +2–2x+ f(x)=2 3x x2 2 2 f(x) =-Ž+x=0 3 = 9_7 8 8 2 f(0) = 2: 919 = 2 + -= 2 4 24 f(4)=2-6+8 = 4 minimum va

Answer 2

Answer #2

Absolute minimum f(0,0)=0

source: Student

answered by: anonymous

Answer 3

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