Find the vertex of the graph of the equation. y = x2 − x − 4 (x, y) = ( )

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

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Q: 0. The solution to the cubic equation x -8 =0 is: {1-iv5,1+iV3}. d. {-2,–1±iv3}. c. (21ti b.…

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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: 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: Particular solution of y" - 5y' = x-2, when x = 0, y = 0, y = 2

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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: 4. Since Beth was born, the population of her town has increased at a rate of 850 peopie per year.…

A: Let M =850 (increase in population rate)        (slope) At Beth’s 9K birthday population is 307,650…

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

A: Find the auxiliary equation and solve that

Q: Find the equation of the axis of symmetry and the vertex of its graph. f(x) = x2 + 8x − 1   (a)axis…

A: By using standard form of parabola, we calculate the required axis of symmetry and vertex of…

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: y = -2r 4r+ 6 %3D

A: Since you have asked multiple question, we will solve the first 3 question for you. If youwant any…

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: Find the General solution using variety of parameters. y′′′=12

A: The given differential equation is y'''=12. Integrate three times to get the general solution as…

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

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Q: Find the equation of the axis of symmetry and the vertex of its graph.   f(x) = −2x2 − 4x − 1…

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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: Elimination of arbitrary constant y = 2x - c1e-x - c2ex

A: The given solution to the DE is: y=2x-c1e-x-c2ex             .......(1) Now differentiate the above…

Q: Find a general solution of y" (-2-2 i3)y. y(x) =

A: The given differential equation is  y'' = (- 2 - 2i√3)y or, y'' - (- 2 - 2i√3) = 0 or, (D2 + 2 +…

Q: C. Solve the IVP. Indicate the method used. Show the details of your work. y+y = y³ y(0) =

A: Sol

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.

A:

Q: Y=1/5x^3-square root of x^2+1.Find the graph, the concavité upward and downward, point of…

A: The given function is f(x)=15x3-x2+1 To graph the function and find the interval where the function…

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: Q1// Solve by Graphics the mathematical model Маx Z %3D Зx1+ 2x2 s.t -x1 + 2x2 S4 3x1 + 2x2 s 14 х1-…

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Q: B-How do you Know if an equation is Homogenous or non- Homogenous? What is degree of equations?…

A: Solution: Homogeneous function: A function fx,y is said to be a homogeneous function if…

Q: Solve by graphing. x-y=-4  x+2y=17

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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: Fiind the general solution.  y3dx - x3dy = 0

A: to find the general solution of the given differential equation , we will use seperation of variable…

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

A:

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

A:

Q: (a) To find where the graphs of the functions y = m¡x + b1 and y = m2x + b2 intersect, we solve for…

A: a) To find where the graphs of the functions intersect, we solve for x in the equation:…

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: 一4g-12,}= 2,1} =D 1,s(0)= 30}: ||

A: Given: dydx=y2-4y-12, y0=2, y1=1, y0=3, y0=-2

Q: Find the number of units x that produces a maximum revenue R in the given equation. R = 24x2/3 − 2x…

A: For maximum revenue, derivative of revenue is zero.

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: Find the equation of the axis of symmetry and the vertex of its graph. f(x) = −2x2 − 4x − 1   (a)…

A: Given,           fx=-2x2-4x-1

Q: The profit from the sale of x units of radiators for automobiles and y units of radiators for…

A:

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: Find the values of k for which the graphs of y=2k – kx and the quadratic y = x - x-1 intersect at i.…

A: “Since you have asked multiple questions in a single request, we will be answering only the 1st…

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.