Express the quadratic form Q(x1, x2,x3) = 6x3 +3x3 +3x3 – 4x1.x2 – 2x2x3+4x3x1 to the sum of square, by Lagrange Reduction Method.

Q: Find the complete solution of (x + 4y³dy – ydx = 0)

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Q: 2 Write a polynomial in standard torm that has 6 solutions, approaches negative infinity as x…

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Q: Find a root of an equation f(x)=x²- x-1 using Bisection method

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Q: Determine the stepsize that can be used in the tabu- lation of f (x) = sin x in the interval [0,…

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

A: Use double derivative concept

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: Find the general solution to the nonhomogeneous, lincar difference equation X+2 - 4x = 6t - 1 By…

A: Difference equation

Q: Solve this problem using the indeterminate coefficients method: y" +2y' + y = 2cos(2x)+3x+2+3e^x

A: Given: y"+2y'+y=2cos(2x)+3x+2+3ex

Q: /4y² - 25 -dy

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Q: 35. By completing the square in the quadratic x² + x + 1 and making a substitution, evaluate dx x² +…

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

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Q: (c) Express the quadratic form Q(x1,42. 43) = 6xj + 3x+3x-4xx2 - 21213 + 4xar1 to the sum of square,…

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Q: Find the number of solutions to 6z1+9z2+20z3=150 where the zi are nonnegative integers.

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Q: (c) Express the quadratic form Q(x1,x2, x3) = 6x + 3x3 + 3x3 – 4x1x2 - 2x2x3+4x3x1 %3D to the sum of…

A: A detailed solution is given below.

Q: state where in the ty-plane the hypotheses of Theorem are satisfied 7. y′=(t2+y2)3/2

A: Given y'=t2+y232

Q: Find the maximum of f (x) = 4x – 1.8x? + 1.2x³ – 0.3x* using Quadratic interpolation (xo = 1.75, x1…

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Q: Find a general solution to the DE (D^2 + D - 6) y = 5e^2t by using the Reduction of order

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

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Q: Compute the quadratic form 1/3 x'Ax, when A = 1/3 [s 5 and X1 а. х%3D X2 -[:] b. х%3 c. x= 3

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Q: Solve for x: 1.2.1 2*.2**2 = 0 25 100 1.2.2 px p2-t2 + tx 2 1 1 1.2.3 X-1 x x+2 fthe squares of two…

A: As per our guidelines, we are allowed to answer only one question. Since you have asked multiple…

Q: Write down all of the product solutions satisfying: и +иу —D 0, 0 <x<2, 0<у<1. %3D u(х,0) — 0, и,…

A: Note:- As per our guidelines, We’ll answer the first question since the exact one wasn’t specified.…

Q: Find the complex zerős Of f(x) = x* + 13x² + 36

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Q: prove using the IVT. 2x + 3x = 4x has a solution.

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Q: Find J2z Әх у of z = x3 + 5x² у + 6

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Q: If mQT = (27x + 3)', mRT = (9x – 5) and mZRST= (10x-2)', find mRT. %3D T R. mRT

A: According to the problem, we have The Secant-Tangent Theorem says that  Measure angle RST=…

Q: > -3X1 + 9X2 + X3 = 6 • 5X1 – 4X2 + 15X3 = 9 • 4X1 – X2 + 2X3 = 15

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Q: Suppose the coefficients of the cubic polynomial p(x) = a +bx+cx^2+dx^3 satisfy the equation:…

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Q: Make a change of variable, x= Py, that transforms the given quadratic form into a quadratic form…

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Q: Find the general solution of the fifth-order DEQ. 2x(5) – 7x(4) + 12x" + 8x" = 0

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Q: 2. Determine the polynomial equation with integral coefficients whose roots are -1, -2, and -3.

A: Answer and explanation is given below

Q: The form of decomposing a single irreducible quadratic factor in agiven intecral is /(2ax +b)A+B…

A: We have to identify the given statement as true or false.

Q: Find an orthogonal change of variables that eliminates the cross product terms in the quadratic form…

A: Let the Quadratic form for the given expression is Q(x)=xTA x=7x12+6x22+5x32-4x1x2+4x2x3 , where…

Q: Select all quadratics which have real zeroes. O f(2) = (z - 4)² – 2 O f(2) O f(x) = 2x + 4r + 4 - 5a…

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Q: DETERMINE THE ROOTS OF THE EQUATION USING: REGULA FALSI METHOD f(x) = x³ – 3x + 1 Using a…

A: To determine the roots using Regular Falsi Method.

Q: Find the standard formf (x) = a(x – h)² + k of the quadratic function that has a vertex at (-2, 5)…

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Q: Use Cramer's rule and solve 6x-4z=26 7x+8y+5z=122 9x-9y=54

A: Use Cramer’srule and solve.

Q: find a quadratic polynomials whose zeores are  (i) 3,4 (ii) 2,1

A: So here we are going to use the formula for quadratic equation when zeroes are given. So I'm…

Q: How do I explan that x2+4xy-Sin(y2) is not a quadratic form?

A: To justify that the given expression in x and y is not a quadratic form in x and y

Q: 2) Find dy of: 7x 5 上 (3-2x

A: We know that  ddx(xn)=nxn-1

Q: 4. a. Prove that 8s + 13 L-1 (s² + 4s – 5) 5(7et +9e-5t) by using completing the square method.

A: Since there are two questions posted, we will answer the first question 4.a). If you want the…

Q: Evaluate the integral 1 xp- 9x² + 6x – 8 by first completing the square and using the substitution u…

A: The given integral is: ∫19x2+6x-8dx To evaluate this integral, first, make the square by adding and…

Q: Prove that there is a solution of the equation 2° + x² + 4 = 0, x in R.

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Q: The form of decomposing a single irreducible quadratic factor in agiven inteeral is / (2ax+b)A+B dx.…

A: To write that it is true or false.

Q: Make a change of variable, x =Py, that transforms the given quadratic form into a quadratic form…

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Q: Verify that y = ODE y" + 3y' + 2y = 4x². -4e-x-2e-2x + 2x² - 6x +7 is a solution of the SHOW ALL…

A: We have to verify that y=-4e-x-2e-2x+2x2-6x+7 is a solution of the ordinary differential equation…

Q: 5dz (z+4)Vz+1

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Q: If mzQPS = (15x+ 8) and mR = (10x-3), find mzR. %3D S.

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Q: Is X4 + 3X2 – 2X +I irreducible in (Z/5Z)[X]?

A: Answer

Q: Prove Formulas (1) - (9) Differentiate y = √3x². - 1 √5x = = (3x²)¹/³ – (5x)−¹/2

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Q: Determine the roots of f(x) = -1 - 12x + 18x² 2.75x a. Graphically b. Using Bisection Method c.…

A: Given function is fx = -12 - 12x +18x2 -2.75 x3