Find the extreme values of f on the region described by the inequality. f (x, y) = x2 + y2 + 4x - 4y, x2 + y2 ≤ 49

Question

Teagan Lowery

Mathematics

7 May, 19:22

Find the extreme values of f on the region described by the inequality. f (x, y) = x2 + y2 + 4x - 4y, x2 + y2 ≤ 49

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David Garza · Answer 1

0, and the normal line is given by x (t) = 〈0, 0, 1〉 + 〈1, 1, 1〉 t. 2. Find the equation of the tangent plane to the ellipsoid x2 a2. + y2 b2. + z2 c2. = 1 ... and we need only maximize this on the domain x2 + y2 ≤ r2 ... Find the extreme values of f (x, y) = x2 + y2 + 4x - 4y on the region x2 + y2 ≤ 9.