Express x8. -x over Q[æ] and over F2[x] as a product of irreducible

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A: Solution

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A: The given question is related with complex integration. We have to evaluate the integral,…

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A: We have to apply the z transform properties.

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A: Centroid of the triangle

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Q: 1 Evaluate Iz|= 12.0 |z| = 12.0 dz (z – 10.0)³(z² + 169)2

A: Introduction: When we study complex integration, Cauchy's integral theorem and Cauchy's integral…

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A: To prove: No order can be defined on complex plane ℂ, such that ℂ is an ordered field.

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Q: 1. Solve the DE: tan xsin y y'+(3 tan x-2 cos y) secx= 0

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A: We need to explain which of the given statements are not true in the case of deductive reasoning.

Q: ÿ + 6ỷ + 9y = 0 dy + 2y = e- dx 4 d²y + y = 0 dx²

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Q: Solve the system of linear equations using Gauss-Jordan Elimination and Reduced Row Echelon Form 3x…

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Q: The z-transto Find the Z-transtorm the sI (u)x sequence x1(n) = x(3 – n) + x(n – 3). 2z-2 - 2z3 -…

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Q: Determine the z-transform of the following sequences using the z-transform table and the z-transform…

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Q: 1.Solve by logarithmic differentiation (x+1)(x+2)(x+3)2 Y=In( V(x+3)3(x+4)4

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Q: (c) If a > 0, then > 0. a

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Q: a) Write down the general solution of the system Az. %3D b) Say whether or not we have lim 7(t) = 0…

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Q: 9/1 3. A. .. Find the shaded region in the graph.

A: We have to find the shaded region.

Q: Use the direction field given below to sketch the graphs of the solutions that satisfy the given…

A: To find- Use the direction field given below to sketch the graphs of the solutions that satisfy the…

Q: Solve the DE: (cos y- cos x)y' +cos y sin 2x=0

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Q: Give the augmented matrix for the following system of linear equations. -3x1+10x2-6x3-4x4+8x5 = -4…

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Q: se Lagrange multipliers to find the indicated extrema of f subject to two constraints, assuming that…

A: Given: f(x,y,z) = xyz and x+y+z = 28 , x-y+z =4

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A: S = number of items shipped O = number of ordered items B = number of items backordered.

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Q: A contractor imported a bulldozer for his job, paying Ph 250000 to the manufacturer. Freight and…

A: Given, Salvage value, Vs=P20000 Service life (n)=10 years To find: Book value at the end of 6 years…

Q: Min Z=4X1+X2 S.TO 3X1+X2=3 4X1+3X2>6 X1+2X20

A: We are given the problem,

Q: Fixsy)ニメーーツ coustalaト: xty?こ4

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Q: Find two linearly independent solutions of y" + 3ry = 0 of the form Y1 = 1+ a3x³ + a6x® + · .. Y2 =…

A: We find two linearly independent solutions of the given differential equation  y"+3xy=0.......(1)

Q: V25, -9 -6- dx 3.

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Q: True/False: The relative maximum value of the function f(z, y) = z - e is -1. O True O False

A: The given function is                                          f(x,y)=x2-ey2

Q: lim xy + 2y - 3x - 6 (x, y) 4, 3) y +3 y-3 2 O 6

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Q: Use cylindrical coordinates to solve the integral. Sketch the graph of the region of integration.…

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Q: Let p be prime. Show that C) mod p = C for 0 <k< p What does this imply about the binomial…

A: See the following below.

Q: How many 5 digit even numbers can you form using all of the digits 1, 2, 3, 3, 5?

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Q: -4x e Find a particular solution to y" + 8y' + 16y= x3

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Q: Compute the line integral of the scalar function f(x, y) = /1+9xy over the curve y = x³ for 0 < x <…

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Q: Let -13 4 -8 2 -37 15 -28 -5 A = -6 4 -7 -6 0 0 1 Find a matrix P such that D = P-1AP is the Jordan…

A: Given that  -134-82-3715-28-5-64-7-60001 To find the matrix P such that D=P-1AP

Q: particular

A: We find particular solution.

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Q: Solve the value of the variables using Gauss Elimination with checking. Write the values of the…

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Q: Let V be the volume of the solid obtained by re

A: Given, the curves                  y=x,  y=x2

Q: L{2et – 4e4 } O 2(s-6) 52-6s+8 O2 (6-s) 52-6s+8 s-6 82 6s+8 (s 6) 2 6s+8

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Q: The Annual sales (in millions) of iPhones are expected to grow in accordance with its function f'…

A: Area in trapezoidal rule {\displaystyle \int _{a}^{b}f(x)\,dx\approx {\frac {\Delta…

Q: Suppose that at time t 0, 10 thousand people in a city with population 100 thousand people have…

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