Tính đạo hàm riêng của f(x, y) = x^2-2x-4y^2-4y theo y.

May 31, 2021 ... ∇f(x, y) = 2x + 4y − 2, 4x + 6y2 + 12y − 20. We obtain now the Hessian matrix. H f(x, y) = 2. 4. 4 12y + 12. We have D1 = 2 > 0, D2 =8+24y. So ... ... (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 > ... Mar 7, 2001 ... ... (y) I2 - I1(y), where. 1(Y) j= / (x)dx and I2 = JO 2sh(x - dx. The value of I2 can be computed by the Gauss formula [GR], which gives I2. 'y + 2 ... Free math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework questions with step-by-step explanations, ... x, = 3. The solution is thus: x = 3, y = 2. (c)z − x = 2 and 2x = −2. Solution: From: 2x = −2 we have that x = −1. Inserting this into z − x = 2 we find: z − (− ... ... 2: Now click the button “Submit” to get the equivalent expression. Step 3 ... (x+3), which is called the equivalent expression. 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.... Sep 24, 2008 ... ון. -2. 1+4. 20 шобо] хэ+у2-2x+4y=0 x²-2x+1 + y²+4y+4. (x-1)² + (y + 2)² = 5. (x-xo)²+(y-yo)². 2 a=-2 b=4 c=o. R²=-C+ a 2 + b². == +. जन. +. ተ. y. (2x+5y+3) = 5 and x. (5x 4y+2) = 5, so sin e these are equal, the ODE is exa t. The integral will have the form F(x; y) = R. 2x + 5y + 3dx = x2 + 5xy + 3x + ... (3x + 2y)y' + 2x + 3y = 0 where y(0) = 2 · solve t + arctan(y(t)) + (t + y(t) ... Solve a Riccati equation step by step: x^2 v'(x) + 2 x v(x) = x^4 v(x)^2 + 4.