Find the constrained extrema of the function f (x, y, z) = x + y + z on the plane given by the equation x^2 + 2xy + 2y^2 + 3z^2 = 1.
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Find the constrained extrema of the function f (x, y, z) = x + y +...
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Find the relative extrema. A) f(x, y) = x3-3xyザ B) f(x, y)=xy +-+-
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T 2 LAA 18.0.2018 1. Find local extrema and saddle points of f(x, y) = x2 - x?y+ y? + 2y 2. Find global extrema of f(x, y) 2ry - 2r2 - y in the region...
Find the absolute extrema of f(x, y) = x^2 + y^2 − 2x − 2y + 1 on the set D = {(x, y): 0 ≤ x ≤ 2 , 0 ≤ y ≤ 2 }
5 Use the Divergence theorem to find the outward flux. a. F(a, y,z)-(6x2+ + 2xy, 2y + xz, 4x2y); G: The solid cut from the first octant by the cylinder x2+y - 4 and the plane 3. (In(x2+Уг),-2z arctan(y/x), z (x2 +y2); G:The solid between the b. F(r, y, z) Vx + y*); G: The solid between the cylinders x2 + y.2 1 and x2+ y2 2, -1szs4. c Fxy)-(2xy', 2x'y, -): G: The solid bounded by the cylinder x?1...
a) Find the gradient of f(x, y, z) = 4x + 8y + 3z – 24 and indicate it at point P = (0,3,0) Draw the function in 3D, draw the plane that is generated when f(x,y,z)=0, start with the lines on the xy, yz, and xy planes. X у