Compute the 1st and 2nd degree Taylor polynomials L(r, y) and Q(r, y) for f(1, y) = In(r +y?) at (1,0).

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Q: 5 4 Find a 2x2 matrix A for which A 6 5 3 -6 -2 LA=] A =/ (Type an integer or decimal for each…

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Q: Find the Laplace transform of the following function: 1

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Q: 10 2) z = (-j)()

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Q: Find the Taylor series generated by f at x= a. 8. f(x)= , a=D1 Choose the correct answer for the…

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Q: sinh (3tj) tcos(3-2)

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Q: Solve the variational problem S v +2y (x +y)] dx = 0, given y (1) = y (2) = 0. [x2

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A: Legranges interpolation

Q: then the eigenvalue corresponding to the eigenvector v is

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Q: AXYZ is isosceles with base YZ and M is any point on YZ. Prove that a. ZXMY > ZY Z. b. XM < XY M

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Q: 4. Solve the linear system below a + 2b – c + 4d = 1 —а — 3ь + 2с + 2d %3D 4 2а + 2b — с + 2d %3D 2…

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Q: G14. Draw two 'different' graphs with five vertices and degrees {1, 2, 2, 2, 3}.

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Q: Find the linear approximation of the function below at the indicated point. f(x, y) = V17 - x² – 4y²…

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Q: Give at least 3 examples of each type of matrices. 1. Nilpotent Matrix

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Q: ) The complex conjugate of z is denoted as z. Solve for z in the equation: 27(1 – j2) 2 - j3 5z 1+j2…

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Q: 5+3 %3D

A: Given,        Z=45+3j

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Q: (1) Let G: R → R? be a differentiable function such that G(1, -1,3) = (2,5) and DG(1, –1,3) = 1 -1 4…

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Q: e solution set of the equation 14x5 + 83x4 + 78x3 - 258x2 - 360x + 27= 0 i

A: To find the solution set of the below equation. 14x5+83x4+78x3−258x2−360x+27=0

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A: Given matrix is A=0-1010-1-31-92-6-2-23-6-1-41309-363-3-1-94-6-4

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Q: Consider a system of two toy railway cars (i.e., frictionless masses) connected to each other by two…

A: as given m1=2 kgm2=1 kgk1=64 Nmk2=32 Nm

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Q: How many values are in the range 17 to 118? 67.5   135   102   100

A: Range = maximum - minimum    Number of values = 118 - 17 = 101

Q: Find the Inverse Laplace Transform. Y (s) (s-5) (s² -6s +25) O est cos(4t) – e3t sin(4t) O est…

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Q: Using the composite division, find the rest of the border division ((4 x) 2 + a-x - 5 x  4-3 x 6+…

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Q: to = Gim En Gim n-sao NOW P C Em) = 1-0 ete-

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Q: atic Approximations The Taylor polynomial o by a twice-differentiable function f(x) at x = tic…

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A: Forward diffrence formula for first derivative at x=0,h=1/2

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Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.