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8 3x2 4y2 6z2 = 12 Ellipsoid 9 4x 2 9y2 36z = 36 Hyperboloid of 2 Sheets 10 Identify each of the following surfaces (a) 16x 2 4y 4z2 64x 8y 16z = 0 After completing the square, we can rewrite the equation asX^ {2}2yxy^ {2}=0 x 2 2 y x y 2 = 0 This equation is in standard form ax^ {2}bxc=0 Substitute 1 for a, 2y for b, and y^ {2} for c in the quadratic formula, \frac {b±\sqrt {b^ {2}4ac}} {2a} This equation is in standard form a x 2 b x c = 0Begin completing the square Move the constant term to the right Add 'y 2 ' to each side of the equation xy x 2 1y 2 y 2 = 0 y 2 Combine like terms 1y 2 y 2 = 0 xy x 2 0 = 0 y 2 xy x 2 = 0 y 2 Remove the zero xy x 2 = y 2 The x term is xy Take half its coefficient (05y) Square it (025y 2) and add it to both sides




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It cannot be done Suppose to the contrary that it can be done We will derive a contradiction Suppose that \frac{x^2}{\sqrt{x^2y^2}}=f(x)g(y) for some functions f and gThis topic contains 1 reply, has 2 voices, and was last updated by My Cricket Association 9 months, 1 week ago Author Posts at 1102 am # Reply EduGorilla Keymaster Select Question Language English The equation x 2 – 7xy 12y 2 = 0 representsAsk doubts to our tutors for free!



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Comparing x 2 y 2 = 0 with the general equation ax 2 2hxy by 2 2gx 2fy c = 0, we can say that a = 1, b = 1 and all other coefficients are 0 Δ = abc 2fgh af 2 bg 2 cf 2 = 0 ∴ The equation represents a pair of straight linesSince the equation x 2 2xy y 2 = 0 is a homogeneous equation of second degree and h 2 ab >If you have already studied the "circle" chapter in 2D geometry,then you can clearly see, mathX^2Y^2=0/math says,the radius of the circle is zero and its centre is at (0,0) So you can say it is a point circle



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Find the separate equations of the lines represented by the equation 3x^210xy8y^2=0We say that a utility function u(x) represents preferences if bundle A is preferred to bundle B if and only if u(A)>u(B) Theorem = x2y2 0 2 4 6 8 10 12 14 16 18 1 3 5 7 9 11 13 15 17 y x Indifference curves 8 Marginal Utility Definition The marginal utility of good x, MU xAnd the equation x 2 y 2 = 0 represents the two straight lines x y = 0 and x y = 0 Condition that the general equation of second degree may represent a line pair The general equation of second degree in x and y is ax 2 2hxy by 2 2gx 2fy c = 0 or, ax 2 (2hy 2g)x (by 2 2fy c) = 0 This is quadratic equation in x




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∂x 2 ∂z ∂y 2 1 dA = ZZ Q xy √ 6dA = √ 6 Z 1 0 Z 2− x 0 xydydx = √ 6 Z 1 0 x (2 − 2x)2 2 dx = √ 6 Z 1 0 (2x3 − 4x2 2x)dx = √ 6 h1 2 x4 − 4 3 x3 x2 i 1 0 = √ 6 6 (b) ZZ S zdS, where S is the part of the paraboloid z = x2 y2 under the plane z = 4 Solution With Q1 Answer1 Active Oldest Votes 5 Completing the square wrt x i get ( x 12 y) 2 − 76 y 2 = 0 This is a good step;Please help Thanks in advance We have x2=2xy 3y2 = 0 Are there supposed to be 2 equal signs in this expression or is it x2 maths



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