find the maximum and minmum values of f(x,y) = y^2 + 6x^2 on the set R={(x,y) 2x^2+y^2<=9}
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find the maximum and minmum values of f(x,y) = y^2 + 6x^2 on the set R={(x,y) 2x^2+y^2<=9}
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- Find out the final coordinates of a figure bounded by the coordinates (1,1), (3,4), (5,7) and (10,3) when scaled by two units in X direction and three unit in Y directionFind the point on the planez = x + y + 1closest to the point P = (1, 0, 0). Hint: Minimize the square of thedistance.Integrate f(x, y, z) = x2 -y + z over the line segments from (0, 0, 0) to (1, 1, 0) and then to the point (1, 1, 1).
- Find the absolute maximum and minimum values of f(x, y) = x^2 +xy + y^2 - 3x + 3y on the triangular region cut from the first quadrant by the linex + y = 4.Find the minimum distance from the cone z = √(x2 + y2) to the point (-6, 4, 0).Determine two positive numbers whose product is 4 such that the sum of their squares is minimum.
- How would I solve ∭xzdV, where E is bounded by the planes z = 0, z=y, and the cylinder x2 + y2 = 1 in the half-space y ≥ 0 ? Any help would be greatly appreciated. :)Find two positive numbers with product 289 and whose sum is a minimum. Enter your answers in increasing order.can u help me with pullbacks and integration plz