Tính độ cong của đường cong mức f(x, y) = k khi f(x, y) = x^2-2x-4y^2-4y.

Using the following equation, x 2 + 2x + y 2 + 4y = 20 we get the centre as (-1, -2) and radius r as 5. ... x - y = -9 → y = x + 9. 5y + 4(7y - 31) ... x - 2(2) - z = -4 x + z = 0 x - z = 0. 2x = 0 x = 0. 0 + 2 + z = 2 z = 0. REF: 062311aii. 8 ANS: 2. 2x + 4y - 2z = 2. - ... Jan 14, 2024 ... Solution For Find the separate equations of the lines represented by the equation x^2 - 4y^2 - 2x + 4y + 0.Ans: x -2y -2 = 0, x -2y = 0. May 29, 2012 ... The point (0,0) is on the curve. Since the equation is quadratic, for each slope t, the line y=tx must intersect the curve at a second point. If ... Let second-degree equation be, ax 2 + by 2 + 2hxy + 2gx + 2fy + c = 0. Discriminant = Δ = Case: 1 If discriminant (Δ) of this equation doesn't ... (x, y) = x2 + y2 − 2x − 4y is ~i +j. Solution: The direction of fastest change is in the direction of ∇f =< 2x−2, 2y−4 > . Therefore we want ∇f =< 2x−2, 2y −4 > ... Answer to: Use the method of Lagrange multipliers to find the minimum value of f(x,y) = x^2 + 4y^2 - 2x + 8y subject to the constraint x + 2y = 7.... x²+3x+2. 2x-4. 20. x²-4. 8 a+3. 244 ба. 21. 00. 2(x+3)(x-3). 4(x+1). (x-2)² eng ... #4 y= y≤ x+2. -늘X+늘. ) Volume = √ √ S (3-3x-241) dy dx. Y=2-2x. = S (3Y-3xY~ ~²) | x - - xxx. O. =S (3x²-6x+3) dx. (x³-3x²+3x) 16 = 1 dx. X. 2. 07. Y=x3 z = 1/2 (6-6x-3×). S = 3-3x- ... Jul 12, 2024 ... Phân tích các đa thức sau thành nhân tử x2−2x−4y2−4y x 2 - 2 x - 4 y 2 - 4 y · 10 Bài tập Bài toán thực tiễn gắn với việc vận dụng định lí ...