, Affine, or Nonlinear??? x1 + x2 2x3 + 3x2 Y1 ransformation y2 Y3 x1 + x2 + T+x3

Q: How 2 Find the absalute maxima and minima for the funchion 3 2. f(x,y) 48xy -32 x-2u yen the…

A: since f(x, y) is a polynomial, it is continuous overthe given rectangular region D.So, f(x, y) has…

Q: Find the area of the playing field described byR: -2 ≤ x ≤ 2, -1 - √(4 - x2) ≤ y ≤ 1 + √(4 - x2),…

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Q: For the quadratic funetion f(x) = x2 – 6x + 18, which of the following statement is true? a) Vertex:…

A: We know the formula for vertex for a standard quadratic equation comparing the given quadratic…

Q: C+2 7. (i) Show that A(c) = (ii) Given the previous part, find a closed form for

A: The complete solutions are given below

Q: 3. f(x)=-x^2+6x+5 the vertex is?

A: Given equation is

Q: Find particular solution of a yd-y'= 2sinx 11

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Q: Find real numbers a, b, and c so that the graph of the quadratic function y=ax2+bx+c contains the…

A: Graph y=ax2+bx+c Putting given points in the equation    -1, -4a-12-b+c=-4a-b+c=-4…

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: Find the points of intersection of the graphs of 2x 3y = -2 and 4.x – y = 6. %3D

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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: Given b e R, consider the quadratic function in standard form: f(x) = x² – 2bx + 3. (a) Find b e R…

A: Suppose we have quadratic function ; .Note the result corresponding to this function : If both…

Q: Given the function y=-x2+2x+3. a) Give the axis of symmetry. b) Give the coordinates of the…

A: Answer and explanation is given below

Q: Q1- Choose or branch ( A-find the optimum values of X₁, X2, and X3 3X1 +2X2-X₁ = 1 2X1-2X2-4X3=2…

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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: Find the maximum and minimum value of x² + y3 – 3axy

A: *to find:- maximum & minimum value of z = f(x,y).

Q: Q2. Use Lagrange Multiplier to find the point on the circle: x² + y² = 45 that are closest farthest…

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Q: 7. Whic. nction is not quadratic? a. f(x) = 3x(x +91) %3D b. 25x - 49y = 100 %3D c. 14x - 12 = 21x…

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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: vertex form for y=x^2+4x+6

A: Topic:-  parabola equation in vertex form

Q: 3. Find the values of b and c so f(x)=-8x² + bx+c has vertex (2, -7).

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Y = 1. Draw the given optimization problem and solve. Find the area of the largest rectangle (in…

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Q: ) solke lineaw equation using Invers Metho d using Invers matria method 2X-4+37= 2 x +34-2= 44…

A: 2x-y+3z=2x+3y-z=112x-2y+5z=3

Q: The path of a diver is modeled byf(x) = (−4/9)x2 + (24/9) x + 12where f(x) is the height (in feet)…

A: Givenf(x) = -49x2+249x+12here, a = -49 , b = 249this is downward opening parabola.

Q: Make a change of variable, x = Py, that transforms the quadratic form x? + 10xjx2 +x; into a…

A:

Q: Find, in factored form, the equation of the quartic function y that has been graphed. Let the…

A: Form graph we need to look multiplicity of zeros and how many times graph touch or crosses x axis

Q: Draw the given optimization problem and solve. Find the area of the largest rectangle (in units)…

A: Since, We have to find area of the largest rectangle that fits into the triangle which sides form by…

Q: _3x2ニーラ Consider the following optimization problem Min flx) = x-2a+5スgー4 S.t. 2x,-3x2ニーラ ーX3+224?3…

A: Note:- In given  problem you don't mention, is x1,x3 greater than equal to zero or anything else?…

Q: Degree of p3 + 2xp² – y²p² – 2xy²p = 0 is %3D - (a) 2 (b) 1 (c) 3 (d) None of these

A: To find: The degree of the differential equation p3+2xp2-y2p2-2xy2p=0. Given: The differential…

Q: True or false: The y-coordinate of the vertex of f(x) = 4x² – 16r + 300 is f(2). . %3D

A: Given quadratic expression is: fx=4x2-16x+300 Let y = f(x) We have to find the vertex of f(x).

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

A: Given equation:                         y = x3+10x

Q: Which is an equation with a degree of 4, zeros located at (4, 0) and (3, 0) and a y-intercept…

A:

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: 2. Which polynomial equation has 1, -2, and 3 as roots? A. P(x) = (x + 1) (x – 2) (x + 3) B. P(x) =…

A: Here in the given question we are provided with roots as 1, -2 and 3. And we are asked to find…

Q: Determine the values of b and c if f(x)=÷x* 1 x²+bx +c has vertex 3 ,6 5

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Q: Find the x coordinate of the vertex: f(x)= 3x-4x+1 %3D

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

A:

Q: What is the vertex of h(x)= 2x² -4x + 1? O A. (-2, 1) О В.(-0.25, 1) C. (1, -1) O D. (0.5, 0.25)

A: According to the given information, it is required to determine the vertex of h(x).

Q: Tearabola has one x-intercept of x=-2 and an axis of symmetry of x=4. Which of the following…

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Q: y = r + 2x 8 .

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Q: -b 2. Use the vertex formula (x =) to find the vertex of f(x) = 2x2 -3x + 5 %3D %3D 2a

A: To determine the vertex of the parabola.

Q: Find the maximum value of x + y subject to the constraint x2 + y? = 18. %3D

A: We will use Method of Lagranges multiplier to fing maximum value

Q: Discuss the maximum and minimum of x?+y'+6x+12.

A: Given: x2+y2+6x+12

Q: Q:Determine a solution for the pDE, and canjecture the form of the general Solution マン fnbtれてhiy h-

A: Given, homogenous Partial differential equation  uxx-4uyy+2ux+4uy=0 Substitute uxx=D2u, uyy=D'2u,…

Q: The vertex of the parabola f(x) = x² + 10x + 6 is о (-5, —13) о (-5, —19) о (-10, —19) о (-10, — 25)…

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Q: Hhe following Oues hom Solue Gaussian elimination OC, -3xz + 2x3 - Xq +23cs=2 3x1 -9xz +7x3 - )C4 +…

A: The Gauss elimination method is used to reduce the given matrix into row-echelon form by using the…

Q: Q1-Choose or branch ( A-find the optimum values of X1, X2, and X3 3X1 +2X2-X3 = 1 2X1-2X2-4X3-2…

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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: Determine the point/s of discontinuity, if there is any, and the type of discontinuity at that…

A: h(x)=x-2x2+2x-8The function will be discontinuous at point where denominator is zeroconsider…

Q: C. Transform the Standard Quadratic function to vertex form.Show your solution 1. )= 4x² +8x – 6 2.…

A: