Week6 pdf 6X 2/Q M/Q hm�M e "¨B RX hŢK +�+ çBĉK M;?B M;nj +ɏ� +�+ ?¨K b�m a) f(x, y) = 3x2 + 3y − y3, b) f(x, y) = x3 3 − y3 3 + 3xy, c) f(x, y) = y3 + 6xy + x2 − 18y − 6x, d) f(x, y) = e8x 2y2−24x2−8x[.]
x3 y − + 3xy, 3 2 d) f (x, y) = e8x y −24x −8xy a) f (x, y) = 3x2 + 3y − y , b) f (x, y) = c) f (x, y) = y + 6xy + x2 − 18y − 6x, a) f (x, y) = x4 + 2y − 4xy, c) f (x, y) = xe−x−y sin y |x| ≤ 2, ≤ y ≤ π, b) f (x, y) = arctan xy, d) f (x, y) = x4 + 4x2 (y − 2) + 8(y − 1)2 f (x, y, z) = x3 + 3xy + 9y − 2xz + 2z + 9y + f (x, y, z) = x3 − 3x2 + y + 2z + xy − 2xz + 3x + 2y + 2z f (x, y) = x2 y x2 + y = f (x, y) = x + y 1 + =1 x y f (x, y) = x2 + y x6 + y = f (x, y) = 3x + y x2 + 9y = x2 + y + z − xy = f (x, y, z) = x + y + z x2 + y + z = f (x, y, z) = x + 3y − z f (x, y, z) = xy − z x2 + y + z − xy = f (x, y, z) = x2 + 2y + z x+y+z =0 f (x, y, z) = x2 + y + z z = 4x2 + 4y x−z =1 2x + 4z =