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Find the general solution of
(y-xu)p+(x+yu)q=x2+y2
Find the first partial derivative of
f(w, x, y, z) = w ^ 2 * x * y ^ 2 + x * y ^ 3 * z ^ 2
Find the first partial derivative of
h(x, y, z) = cos(x+y+z)
Find the first partial derivative of
f(x, y, z) = xy + xz + yz
Find the first partial derivative of
s(y, z) = z ^ 2 * tan yz
I. Change the following point from polar to rectangular coordinate.
(3/2, n/12)
II. Evaluate f²(3ײ- 6x ‐2)dx
Find partial z partial x and partial z partial y for
z ^ 4 - y ^ 2 + x ^ 2 = 6x ^ 2 * y ^ 3 * z ^ 7 .
The temperature in space given by T(x, y, z)= 200xyz? Find the hottest temperature on a unit sphere centered at the origin. (DO NOT USE LAGRANGE MULTIPLIERS)
Find the extreme values of z on the surface 2x^2 + 3y^2 + z^2 – 12xy + 4xz = 35.(DO NOT USE LAGRANGE MULTIPLIERS)
2. a) Find the derivatives of the following functions with respect to x.
X^3+Y^3=3
Y= (sin x) ^tan x
