State the quadratic form of a general multivariate function in two variables and give the matrix representation a. b. State the quadratic form of a general multivariate function in three variables and

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Q: 2: Find the minimum value of f on the closed interval [-3,8]. Justify yokr answer..

A: To find the minimum value of f on the closed interval -3,8      

Q: nd x so that they are similar Deduce th

A: 1. Given,    

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Q: Question: Using Principal Component Analysis (PCA) method, find and plot the principal axes for the ...

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Q: Q2) Find all the local maxima, local minima, and saddle points of the function: f(x, y) = x2 + xy + ...

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Q: that to Sulve the fullowig Apply Jucobis equatisns me =4-5 yu=1-6 - 4 +37

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Q: Please show your solution clearly thank you L{e^4t-cos2t/t}

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Q: 1. Use the e – d definition of the limit to show the following: - (a) lim(5x – 2) = 3 - (b) lim VI =...

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Q: Q.1 Put the D.E ey"+2xy' + ây = 0, in self-adjoin form .

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Q: If So I; (x² + y²)sin(x)dædy = fo ,2 Sa(x² + y² ) sin(x) dydx then a, b are

A: if  ∫01∫y1x2+y2sinx dx dy =∫01∫abx2+y2sinx dy dx then find the value of a ,b

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A:  the solution to the linear system of differential equations

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A: Solution

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Q: In the quadrilateral ABCD, BC = BA and CD> AD; prove that ZBAD> ZBCD.

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Q: By solving the differential equation: 33 y = (x – 8)y' + (y')* It is obtained, as part of its singul...

A: We are given the following differential equation.           y=x-8y'+y'33 We further have that y(v)=α...

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Q: .z³ = 8i

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Q: Find the singular value decompostion of the matrix. 1 -1 1 -1 -1 1

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Q: Consi der the power series DO (2r +3) Σ V2n2 +n - 1 n=1 (a) Determine the interval and radius of con...

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Q: consider the points A(3,-3, 3), B(4, -5,1), C(-2,-4,1), D (6,3,-5) (a) Find the volume of the parall...

A: We have to find the volume of parallelepiped.

Q: dy Find by implicit differentiation. dx (1+ e*) =4+ In (x + y), y - x Select the correct choice belo...

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Q: Let A = {1, 6, 9, 10} and B = {5, 9, 10}. Indicate if each statement is true or false. 8 E A|Select ...

A: A={1, 6, 9, 10}B={5, 9, 10}

Q: (a) For each of the cost coefficients c;, 1 < j < 4, find the range of values for Ac, for which the ...

A: According to guidelines I can solve only 1 questions 

Q: The conjugate harmonic function v(x, y) of u(x, y) = In (x2 + y2) is *() + 1. 2tan -1 2tan-1 + C () ...

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Q: Solve the following system of equations using Gauss-Jordan elimination: = 0 - z = -9 = -3 4x + 4y 7y...

A: Gauss- Jordan Method is used

Q: ôu a?u Let u be the unique solution of where (x, t) e (0, 1) x (0, 0), u(x, 0) = %3D sin Tx, x e (0,...

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Q: 1. Evaluate the following integrals: e) dx |-x² + 4x – 3 f) . dx J (x – 2)Vx² – 4x + 3 -

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Q: 3(n+1)! (п —1)1 126

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Q: Let A E Mnxn(R), show that it is possible to express A as the product, A = PQ where P,Q E Mnxn(R), a...

A: Given: A matrix A∈Mn×nℝ   To show: A=PQ, where P,Q∈Mn×nℝ such that P is positive semi-definite and Q...

Q: If u(x, t) is a solution of u, = uxx * u(x, 0) = 1 + x+ sin (ax) cos (Tx) u(0, t) = 1, u(1, t) = 2. ...

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Q: A nutritionist is studying the effects of the nutrients folic acid, choline, and inositol. He has th...

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Q: 8. Consider the region bounded by y =- * , y = Vx, x=1. х

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Q: Find the main, median and mode for the given data. 11,8,2,517,39,52,42

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Q: Use the method of variation of parameters to find a particular solution of the following differentia...

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Q: The ingredients for your braised greens cost $1.32. You sell it for $4. What is your contribution ma...

A: Given that the ingredients for your braised greens cost $1.32. You sell it for $4.

Q: Advanced Math Question

A: Given the matrix  A = 9x8x27x36x4-5x54x63x72x8x9   &amp;  A=Mx15B =M2M3M4M5 we have to find the valu...