Find the vertex of the graph of the equation. y = x2 − x − 3 (x, y) = (  )

Q: What do you mean by Separable Equations?

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Q: Solve for (x, y) using the method by elimination and by substitution. Then draw the graph and locate…

A: From the given equations: 4x+y=3  ...12x-y=9  ...2

Q: Meth Example: Solve; y" + 4y' + 3y 0 y(0) = 3 & y'(0) = 1

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Q: Q2: Given the equations 5x,- 4x,+ 3.x; =-19 %3D -lx,+ x, + 2x; =-3 3x, +4x;+ 2x, = 20 (a) Solve for…

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Q: Use the method of undetermined coefficients to determine the form of a particular solution for the…

A: We have to find ypx, particular solution for the given differential equation      y'''+y''-2y=xex+5…

Q: y=4+2x-x^2 y=4-x the line of y=1 solve in washer method  show me the graph and work

A: The graph is shown below:

Q: 3.Given a nonlinear equation y = 3x^3- %3D 5.12x^2+3.4x-1.9 solve for the following:

A: Given non linear equation is: y=3x3-5.12x2+3.4x-1.9 And step size is h=0.001. Now for initial guess,…

Q: Solve the particular solution (D2+3D+5)y = 5e-xsin2x using  D- operator method.

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Q: 3x − 2y  =  17 y  =  5 solve by graphing

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Q: Test the equation for symmetry. y = x4 + x2

A: Consider the equation, y = x4 + x2 There are three types of symmetry: 1. X-Axis Symmetry 2. Y-Axis…

Q: Solve. X+y +z = - 11 2x + y-z = - 13 X-y +z = 1

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Q: **5. y + 2x = - x²+ 3 y+ 1= -2x Turning Point: Axis of Symmetry: Roots: System Solutions:

A: Rewrite the first equation and find the coordinates for the given equation. y+2x=-x2+3y=-x2-2x+3…

Q: В. -2 -5 Vertex: Axis of Symmetry: x-Intercepts: y-Intercept: 4. 2. オ

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Q: Solve homogenous equation y'''' - 2y'' - 3y' - 2y = 0

A: Find the auxiliary equation and solve that

Q: The graph of y = f(x) is given. The solutions of f(x) = 0 are: %3D 3 2 4 T-6

A: The ghaph of y=f(x) is given in the figure.

Q: solve z^2 - w^3 = 0 diophantine equation

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Q: he general solution of y" +

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Q: Using homogenous, solve y2+x2y = xyy

A: Given: y2+x2y = xyy'

Q: Q.2: Determine the roots of the simultaneous nonlinear equations, initiate the computation with…

A: Given the simultaneous nonlinear equations (x-4)2+(y-6)2=5 and x2+y2=16. We have to determine the…

Q: **6. y+x² + 2 = 4x + 2 y+ 2x = 5 Turning Point: Axis of Symmetry: Roots: System Solutions:

A: The solution is given below

Q: Using a method of reduction to separable equation and reduction to linear equation, find the general…

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Q: graphs to find approximate solutions to the y=-2 and y=x have been drawn. Use the 1. In the diagram,…

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Q: using the parameter change method find the general solution of y''-5y'+6y=2ex

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Q: 2xyy′ = y2 − 2x3. Find the solution that passes through the point (1, 2).

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Q: Find the general solution of the equation y' +2xv = x and then find the particular solution y for…

A: Ko

Q: Test the equation for symmetry: |x|+2y*=xy.

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Q: the solution of the this differantial equation. xy' + (1-2x2)y =  x3e-(x^2)

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Q: Using false position method, what will be the value of Xm in a non-linear equation when you conduct…

A: Let's find.

Q: Test the equation for symmetry. x = y4 - y2

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Q: Test the equation for symmetry. y = x3 + 10x

A: Given equation:                         y = x3+10x

Q: X+y+1=0 X2+y2+6y-x=-5 Solve nonlinear equation and graph

A: x + y + 1=0hence, y = - (x + 1)

Q: Find the general solution (find y): y' = x(1+y).

A: Concept: Variable-separable method: We use this method to solve differential equation of first…

Q: y-1 Find the general solution of y' 2(x+y+1)

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Q: g(1) = t² – 2, find g(-2) Solution: g(-2) =, g(-2) = g(-2) =

A: Here we have, g(t)=t2-2  ............................ (1) We have to find g(-2)=?

Q: O1 Soleaystem of equation x New Tb il com/math/grade /solve-asystem-of equations by graphing 10 4.…

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Q: Solving Hox ou -5- ot =3

A: Note: Since you have asked multiple question, we will solve the first question for you. If you want…

Q: **5. y + 2x= -x²+ 3 y+ 1= -2x Turning Point: Axis of Symmetry: Roots: System Solutions:

A:

Q: С. -2 -5 Vertex: Axis of Symmetry: x-Intercepts: y-Intercept:

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Q: y = r + 2x 8 .

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Q: –10x Given an equation x³ – y3 = 5, show that y" = y5

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Q: у"-2у'-Зуже2х Solution by D- operator method

A: CF + pi

Q: A graph of y = x* + x - 7x - x+ 6 is shown. Use the graph to solve x* + x³ – 7x – x+ 6 2 0- YA 12 -4…

A: A graph of y=x4+x3-7x2-x+6 is shown. Use the graph to solve x4+x3-7x2-x+6≥0 Note: Since you have…

Q: 2y %3D The solution of y - = 3x2 is

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Q: x+2y-1 . Find the general solution of y' : 2x+y -5

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Q: Solve the linear equation using Jacobi's method. 8x, + 2x, + 4x, =- 16 3x, + 5x, + x, = 4 2x, + x, +…

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Q: Sgn(x2 -5x + 6) = -1 solution set of the equation O A) R O B) [1,3] Oo (-2,2] O D l-1,0]

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: **6. y+x² + 2 = 4x + 2 y + 2x = 5 Turning Point: Axis of Symmetry: Roots: System Solutions:

A: First we have to find eqn of the system then have to solve for it

Q: (y2-2xy-x2)dx+(2x2)dy        Find the solution of the equation through the point (1,2)

A: We have to find the general solution from the given condition

Q: Q3/ A: Use the method of separation of variables to solve the equation x +1 y - y'e".u = 0

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Q: Solve by graphing #40-41 x+y = -5 40) ly = 2x + 4 3x + 2y = 2 41) (x - 2y = -10 O %3D

A: Let's find.

Maximization

Have you ever seen a bridge in the shape of a parabola? Where is its maximum on the bridge? The maximum of that bridge is the highest point on that bridge. The process of finding the maximum of the bridge here is called the maximization.