Xét tính lồi, lõm của hàm số f(x, y) = x^2-2x-4y^2-4y.

Dec 4, 2014 ... "After we've integrated over y, we're left with a doman in the x-z plane: X=_√4-22. 2 x²+2² = 4. X-2. · x = + √ 4-2² ... 2x + 4y = 12. Solve for x & y. 5x + 4y = 16. Noting that the ... 0 = (x + 2)(x − 3). Knowing that y = 6, and x = −2,3, we can express ... 13.8 Extrema of Functions of Two Variables. ET 12.8. 8. fx (x, y) = &x (x² + 3y² - 6xy ... Substituting this into the second equation gives-x+2(2x-6)=0⇒x= 4. 1 Answer. Alan P. Dec 5, 2015. (x−1)2+(y−(−2))2=(√6) ... Feb 3, 2021 ... 4x + 2y = 6. −2x + 4y = 2 for the unknown pair (x, y) ∈ R2. 5. Page 6. 1.6 Bilinear and Quadratic Forms. Andrew ID: jgkerr. Exercise 17. A ... We know that $x^2 - y^2 = (x + y)(x - y)$. Substituting, we see that $x ... Factoring, we find that $x^2 - 2x - 3 = (x - 3)(x + 1) = 0.$ Therefore, $p ... Mar 21, 2022 ... I put this bad boy in Wolfram Alpha and it returned (xy-1)*(y+x+3) but it skipped lots of steps in between,I don't know which factors to group or what ... For each of the exponential functions, convert it to the form y = Aekx. (a) y = 5x Solution: y = e(ln 5)x. (b) y = 52x Solution: y = e(2 ln 5)x. ... ( x,y) ® ( 2,3), xy. 2. lim ( x,y) ® ( 3,4), (x2+y2). 3. lim ( x,y) ® ( 2,p), xcos(y). 4. lim ( x,y) ® ( p,2), sin( xy). 5. lim ( x,y) ® ( 2,1), x2y2-x2-4y2+4. yx ... 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.