SOLVE : uoTienbe je120 (6x2 +4xy +y2)dx + (2x2 + 2xy -3y2)dy =0 2x³+2x3y+xy²-y³=c 3x2+2x?y+xy2+y°=c _BO 2x³+2x?y+xy²-2x?y-y²x-y²=c_co 2x³+2x?y+xy²+2x²y+y°x-y°=c .D O

Q: Express 4x^2 + y^2 + 9z^2 + 8x − 4y − 18z − 19 = 0 to its standard form. Also, sketch and name the…

A: Given equation is: 4x2+y2+9z2+8x-4y-18z-19=0 Rearranging the terms we get,…

Q: If z² - 3yz² + xyz -2=0, find Az дz and дх ду

A: The objective is to find the Partial derivatives.

Q: Solve using undetermined coefficients: (D^4 + 4D^2)y = 48x + 96sin2x

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Q: dius 9 units and center dius 3 units and center

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Q: Transform the equation -y^2+8y+x+12= 0 into its standard form

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Q: Solve for the particular solution: (D³ - 5D² + 4D)y = 12x² - 38x +4 yp = -3x^2 + 2x + 3 О yp = x^3 -…

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Q: (3y-2 Jdy y+2y+17

A: Topic:- integration

Q: 3x^(2)+4y^(2)+18x+18y+19=0   Find the coordinates of the latus rectum

A:

Q: Suppose you are climbing a hill whose shape is given by the equation z = 2000 - 0.005x²-0.01y2,…

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Q: Solve Vx-2-630 and write out the check. Check X-2-6=0 x-2=6 2. ニメ=36t2 X=38 X-2ま3=し 1X= 38 メ-2)ぎ=し…

A: To check the result ,substitute x=38 in the given equation.

Q: Differentiate. 5x - 9 +x3 3x +1 g(x) = gʻ(x) = D

A: Given  gx=5x-93x+1+x3 To do Differentiate gx=5x-93x+1+x3

Q: A parabola is given by the equation y = x^2 - 4x + 6. Find k so the line of equation y = 2x - k does…

A: We have to find the value of k for which the line intersect the parabola at two distinct points. To…

Q: find x and y if (2x+1,y)=(5x+4, -7)

A: Given: 2x+1,y=5x+4,-7

Q: Linearize the non-linear equations: 1. y= a+ bx+cx^2 2. y=x/(a+bx) + c

A: According to the given information it is required to linearize the given non-linear equations.

Q: Give 3 points that lie on the parabola y=x^2-5x-2

A:

Q: - y" - 5y + 4y= 2et

A: y'' -5y' +4y=2etThe general solution to axy''+bxy'+cxy=gx can be written asy=yh+ypyh is the solution…

Q: the center and foci of the followin 4x^(2)+8y^(2)-16x+32y+32=0

A: Given,              4x2+8y2-16x+32y+32=0. To find the center and foci of the given equation.

Q: Solve for x: 3x -y = 2 - 3y 2-4y ox = V +2 %3D 2-2y %D 3 - %3D 3. O x = 2 - 2y - 3 3.

A: Let us consider an equation ax+by=c  Then solution for x is given as, x= (c-by)/a

Q: Suppose that x 1 4 + y 1 4 = 2. What is y 00 at the point (1, 1)?

A:

Q: x +y+ 5z = 0 Solve 2х — у + z %3 0 %D a. (4, 6, –2) b. (-2t, 0, t) c. (-2t, -3t, t)

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Q: Locate root of the equation x +x- 2 = 0 using fixed point method.

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Q: In this problem, you are asked to find the best-fit quadratic y = q(x) = ax + br + c through the…

A: Given: General quadratic equation is y=qx=ax2+bx+c The equation is passing through the points -2,2,…

Q: Determine the quadratic equation that best fits the given set of data: (1, 2), (2, 3), (4, 3), (6,…

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Q: 13x+30= (류,-1) and (-3,) 4. Find the equation that contains 7'3)

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Q: Calculate y ".  y = 12x3 − 5x2 + 3x

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Q: If (4x² +xy) :(3xy – y² ) = 12 :5, find x:y

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Q: Linearize the non-linear equation: 1. y=c+ax^n

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Q: a. Solve x^2-4x+3=0

A: Since you have asked multiple questions in a single request so we will be answering only first…

Q: -[3x+(8x+1)]=6-(2x+4) Linear equation with on variable

A: Given,

Q: Oy=3x(x - 2), x = 0, x = 2 Oy=3(x - 2), x = 2 Oy=3(x-2)(x + 2), x = -2, x = 2 Oy = 3x (x² - 2x), x =…

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Q: Classify each of these equations as exponential, quadratic or line a) y = 2x - 1 b) y = 4x? + x - 1…

A: Classify the given equations as exponential, quadratic or linear models a)y=2x-1 b)y=4x2+x-1 c)y=3x2…

Coordinate Geometry

Coordinate geometry, also known as analytic geometry or Cartesian geometry in classical mathematics, is a type of geometry that is studied using a coordinate system. Coordinate geometry is a branch of mathematics that describes the position of points on a plane using an ordered pair of numbers called coordinates.