Given: m(x) =x² +6x – 27 %3D a. What is the axis of symmetry of m(x)? x = b. What is the vertex of m(x)? ( c. What are the x-intercepts for m(x)? ( ) and (

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Q: find the equations for the asymptotes. y2 - 8y - x2 - 4x + 3 = 0

A: y2-8y-x2-4x+3=0 On simplification, we get…

Q: Find the maximum values of f(x,y) = 81x² + y² subject to the constraint 4x? +y² = 1 (Use the…

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Q: Q4) by using the (graphical method) find the optimum solution of X1, X2 that the maximum Z310X1+25X2…

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Q: Solve the following by inspection (using graph), and justify the method of solution in terms of the…

A: A simplex method is an approach to solving linear programming models by hand using slack variables,…

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Q: Given f(x) = x² – 16x + 55, a. Does the graph of the parabola open upward or downward? b. Find the…

A: Given f(x)=x2-16x+55 Let y=f(x) Then y=x2-16x+55…

Q: 4. a. Use the vertex formula to determine the vertex of f(x) = 2x + 12x + 19. b. Based on the…

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Q: Q1/ solve the following by using graphical method: Maximize Z=12x+16y, Subject to: 10x+20y < 120,…

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Q: Use Lagrange multipliers to find the point (a, b) on the graph of y = ed", where the value ab is as…

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Q: Q6) by using the (graphical method) find the optimum solution of X1, X2 that the minimum Z=10X1+25X2…

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Q: Use the simplex method to maximize the following:

A: We have to find the solution by Simplex method for the given maximization problem…

Q: Solve the following and show the complete solution. 2. Using Lagrange multipliers, find three…

A: Let x, y and z be the three positive number so,  sum of number   x+y+z=18

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: Q5) by using the (graphical method) find the optimum solution of X1, X2 that the maximum Z=4X1+5X2…

A: We have to find the optimum solution of given LPP using graphical method.

Q: Q4 /Find the optimal solution of (LP) by using graphical method Max. Z= 4X1+3X2 Subject to: 3X1+2X2…

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Q: Use Lagrange multipliers to find the point (a, b) on the graph of y = e3, where the value ab is as…

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Q: In p(x,y) = 3ry – x* – y°, x is the average daylight and y is the average daily rainfall. %3D Solve…

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Q: a) Solve the following LP using Simplex Method. Max z = 1500x₁ + 2000x₂ + 2400x3 Subject to 3x₁ + x₂…

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Q: The least squares equation, y= 18.9476+1.1842x. If y= 66.3156, what is the value of x? *

A: On solving this we will get

Q: Q6. Solve the following problem using the simplex method: Maximize z =2x+y Subject to x+y<6 x+2y<8…

A: Given. Z = 2x + Y Constraints are  X + Y&lt;=6 X +2Y &lt;=8 Mathod is simplex mathod

Q: Q2) Find The root of the Equation fca)- x².x -3 -0 On L1, 2] using (the fixed point method), Where…

A: NOTE : There are no roots possible in the interval [1,2] of the equation f(x) = x2-x-3 = 0. The only…

Q: For what value of k will y=2x^2+kx-9 have a minum at x=3?

A: The given equation is,

Q: Q2) Solve the following problem using the simplex method: Maximize: z = 4x+3y x +3y s 3 - 2x +y s 5…

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Q: Find the general solution of y'' - 2y' - 8y = 24(x2+1)e4x by using VARIATION OF PARAMETERS

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Q: The maximum value of f(x, y) subject to the constraint g(x, y) = 280 is 5500. The method of Lagrange…

A: Consider the given information:

Q: Solve the problem. Maximize Q = x²y, where x and y are positive numbers, such that x + y = 540

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Q: a) Find the discriminant of y = 14x2 - 13x +7. %3D b) How many roots does the graph of y = 7x2 – 23x…

A: Given that, There are two equation following, (a). y = 14x2 - 13x + 7 (b). y = 7x2 - 23x + 4 In…

Q: find the local maxima of the function f(x,y) = 1 + x^2 + y^2 - 4xy with a constraint g(x,y) = x^2 +…

A: Given fx,y=1+x2+y2-4xy with the constraint gx,y=x2+y3-2=0.   We will use Lagrange multipliers,…

Q: Use Lagrange multipliers to find the extreme values of f(x, y) = x² – y² subject to the constraint…

A: Given the function fx,y=x2-y2 and x2+y2=1. Let gx,y=x2+y2-1. Find the extreme values of f subsject…

Q: Find the general solution of: y"- 4y' + 4y= e2x %3D

A: Method of variation of parameters : consider the differential equation        d2ydx2+P(x)dydx+Q(x)…

Q: Q3) Find the optimal solution by using graphical method: Max Z = x, + 2x2 2x1 + x2 S 100 X1 +x2 < 80…

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Q: What is the axis of symmetry for h(x) = 2x² – 4x +1 ? OA. X = O B. X = -2 OC.x=- 1 4 O D.X = 1

A: A graph of a quadratic function is a parabola.  Let the standard form of quadratic function is  y=…

Q: b a The cost of building 1 metre of each of the sides labelled a is R50 and the cost of building 1…

A: Method of lagrange multipliers 1) Solve the following system of equations 2) Plug in all solutions…

Q: se Lagrange multipliers to find the point on the line Y2x+3hat is dosest to the point (4. 2

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Q: a) Determine the real root of f(x) = 4x° – 6x²+ 7x -2.3 graphically. b) What will happen if partial…

A: Partial pivoting:  The process of partial pivoting involves the selection of largest absolute value…

Q: Q4. Solve the following problem using the simplex method: Minimize z = x- 4y Subject to 2x - 3y <6 x…

A: NOTE: Refresh your page if you can't see any equations. . for simplicity, use variables  the given…

Q: Use Lagrange multipliers to find the point (a,b) on the graph of y = e^(5x) where the value ab is as…

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Q: The population of a colony of squirrels is given by 1500 p(t) %3D 3 + 2e-0.1t

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Q: Is t3 t2 – 2dt , can be solved by 3 methods? -

A: Yes, the above problem can be solved by three different methods. The three methods are as follow:…

Q: The graph of 3x – 2y + z = 12 is a with x-intercept at A. Plane, x = 3 O B. Line, x = 3 O C. Line, x…

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Q: i) Find dp(v5,Vs), dp(v2,V4), and dp(V2,Vg). ii) What is the maximum distance between any two…

A: From the given graph, we notice that the edges in the given graph are 1-3, 1-4, 1-6, 2-4, 2-5, 2-4,…

Q: Use the simplex method to solve the following problem and verify the solution by the graphical…

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Q: Consider the LP: maximize z = c1X1+ C2X2 s.t. 2x1 + X2 11 -X1 + 2x2- 2 X1, X2 Determine all optimal…

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Q: Use the simplex method to solve the following problem and verify the solution by the graphical…

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Q: Find the local extrema of the cubic functionf(x)=x3−3x2−9x+2.

A: Differentiating with respect to x, we get Again differentiating with respect to x, we get