3. A quadratic has an axis of symmetry of x = m, and the quadratic has an x-intercept at (m, 0). The quadratic has a vertical compression and as x approaches infinity y approaches negative infinity. What is a possible equation of the quadratic? (Do not replace m with numbers).

Q: Find the maximum value of z = xy2 subject to 2x2 + y2 = 294; x ≥ 0, y ≥ 0. z =

A: Given information : z = xy2  subject to  2x2 + y2 = 294;  x≥0;  y≥0.

Q: Prove that there are no integer solutions (x, y, z, w) to the equation x³ +y³ 3z²+9w² +3. =

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A: A differential equation is an equation in x,y and derivatives of y.  A linear differential…

Q: B) Use the LU decomposition you found earlier to 6 Txl 3 1 -6 0 -16 x2 =| 4 8 -17x3 17 solve

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Q: 3. Consider in R? the straight line l of equation y = 2.x +1 and the point P = (1, -1). (a) Use the…

A: Lagranges Multipliers Method

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A:

Q: GIVEN: (xn , yn) = (1, 3), (2, 4), (4, 7), (5, 9) Determine the best-fit quadratic curve that…

A: GIVEN: (xn, yn)=(1, 3), (2, 4), (4, 7), (5, 9) we have to determine best-fit quadratic curve that…

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A: Solution: The inquiry says the worth of merchant selling high-quality bonds is equivalent to the…

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A:

Q: Prove that if you minimize the square of the distancefrom the origin to a point (x, y) subject to…

A: GIVEN Prove that if you minimize the square of the distancefrom the origin to a point (x, y) subject…

Q: 2) By using Lagrange multiplier method, find the maximum value of f(x, y, z)=x+ z subject to the…

A: Given function:-     f(x, y, z) = x + z subject to condition x2 + y2 + z2 = 10

Q: Find the best quadratic approximation, Q(x, y) of V9 + 7x + 5y for (x, y) near (0,0), Q(x, y) :…

A:

Q: a. Solve max f(x, y,z) = 3x² + y problem by means of Lagrange multipliers under the constraints of…

A:

Q: 3.4: Verify that the functions x(1) = 2e' and y(t) = -3e' are solutions to the system x' = 4x + 2y y…

A:

Q: show that y=seclx) is a solution to and use reduction y° -2tanGe)y'- of order to find a second,…

A: see below the answer and calculation

Q: 1. Assuming a portion of the trajectory of a nuclear missile fired when plotted in the Cartesian…

A: The equation of the quadratic curve of the nuclear missile in cartesian plane is of the form,…

Q: 15. Let z and y be positive numbers such that 2r +3y = 5 and f(r, y) = (r-3)(y+2) is optimized.…

A: We need to optimize the function f(x, y) = (x-3)(y+2) subject to the constraint 2x+3y=5

Q: Q 6/Find the optimal solution for the following (LP) model by using Algebraic and graphic method…

A: Solution Using Simplex Method -

Q: A curve through the point Q(4,3) has the property that the sum of the distances from each point on…

A: The distance between the points and is given by the expression . If 2 lines are perpendicular,…

Q: 14.Show that any separable equation M(x)+N(y)y′=0 is also exact.

A: Given: Mx+Nyy'=0

Q: 1nd the general and definite solutions of the diIference equations

A:

Q: quadratic form 1.) 2xy+6xz-4yz 2.)x2+y2+z2+2xy

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Q: 5. Given that a cubic equation x° + ax² + bx +c= 0 has zeros a, ß and y. Show that aßy = -c.

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Q: 3) Evaluate elz+y)/(z-y) dA where Ris the quadrilateral with vertices (0,1), (0,-2), (1,0), and…

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Q: - Given that + 2y = 0 and y z Iwhen = 0. A dr quadratic approximation for y is

A: We know ex=1+x+x22!+x33!+ ⋯

Q: Use least-squares regression to fit a straight line y = f(x) = Ax+B  to:   xi -8 -3 0 4 6 yi 7 4 2…

A:

Q: 4. Find the number of non negative solutions to x + y + z = 21. With the conditions that x > 3, y >…

A:

Q: Suppose the labor cost (in dollars) for manufacturing a particular product can be approximated by…

A: Given that the labor cost is approximated by the function Lx,y=32x2+y2-8x-6y-2xy+197.Here x is…

Q: 2a) find a solution of y" (x) = y(x) that passes the origin and go trhout the point (In(2),-).

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Q: 4. Find the orthogonal trajectories of the family of parabolas with vertices at the origin and foci…

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Q: 2. Find the least quadratic fit of the form y = ax² + bx +c for the data. Set up by hand. Solve…

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Q: 8:8 The profits y (Rs. lakb) of a certain company in the xth year of its life are given by 5 3.83…

A: A regression equation is used to predict the value of response variable at values of explanatory…

Q: 2. Consider the following (knapsack) LP: = 150r1 + 100x2 + 99x3 51x + 50r2 + 50r3 S max z 100 T1,…

A: We find the solution of the given linear programming problem we first find the solution of the…

Q: 3.3 Determine the quadratic function being the best l2 approximation for the fol- lowing point…

A: Given The given point cloud is -2,5,-1,-1,0,4,1,7,2,6,3,5,4,-1. Apply formula A*Ax=A*y

Q: x2 + 4y? – xy + 6x – 5y + 1. -

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Q: 2: Show that the line equation passing through two distinct points (a1, b1) and (a2, b2) can be…

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Q: Use Lagrange multiplier to solve. Max U = x+y+z subject to xyz = 8

A: max U=x+y+z subject to xyz=8

Q: 1. Show that y = c,x1 + c,x³ is a family of solutions of x?y" - xy' - 3y = 0.

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Q: 4. As an engineer and a scientist, a research has been conducted and the problem has been modeled…

A: We’ll answer the first part of this question since due to complexity. Please submit the question…

Q: Let (x, y,) be the solution of the following equations In 2 (2x) = (3y)n³ 3Inx = 2lny %3D Then x, is

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Q: The quadratic equation y= ax + bx+c (a+0) can have at most one extreme value (local max or min) over…

A: Here given quadratic equation as y=ax2+bx+c Since we know the one extreme value of the quadratic…

Q: 3. Find the maximum value of f(x, y)= 2xy subject to constraint 2x+y=12 using Lagrange Multiplier.

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Q: Show whether the two equations y₁ = using the Wronskian. 12e and y2 1.2e are independent or…

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Q: Show that ysecc) is a solution to i y"-2tanG)y 0, and use reduction of order to find a Second,…

A:

Q: a. Solve max f(x, y, z) = 3x² + y problem by means of Lagrange multipliers under the constraints of…

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

Q: Differentiate the following linear and non-linear equations, and give a reason that why its linear…

A: Since solve the first question for you. If you want any specific question to be solved then please…

Q: Suppose the labor cost​ (in dollars) for manufacturing a camera can be approximated by…

A:

Q: find the formula for a cubic polynomil ax3+bx2+cx+d with a critical point at x = 2 , an inflection…

A: