3 Factor the following -4x² + 2x+72 4 Multiply and simplify (2x - y)²

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A: Detailed explanation:Solution By StepsStep 1: Check if  G   is a gradient field. For a vector field…

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A: Part (d): Determine whether R*/E is countable or uncountable*Restating the Setup:R = R \ {0}**: This…

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A: To determine if the given matrix A is diagonalizable, follow these steps for each matrix:Find the…

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Q: Exercise 6.4.9. Let 1 b h(x) = Σ x² + n²² => n=1

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Q: Find all the eigenvalues of the matrix 11 -14 -10] M = = 12 15 12 -4 -5 The eigenvalues are (Enter…

A: The matrix is:M=⎣⎢⎡​−1112−4​−1415−4​−1012−5​⎦⎥⎤​Step 1: Set up the characteristic equationThe…

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A: Question 49:Step 1: Find the inverse of the encoding matrix ( E )The encoding matrix…

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Q: How many way are there to arrange the letters in the word MISSISSIPPI so that either all the Is are…

A: Given letters,                      MISSISSIPPIThe word consists of 11 lettersM : 1I : 4S : 4P :…

Q: 2. Use Kruskal's algorithm to find a minimum spanning tree for the given weighted graph. a 5 b 4 C 2…

A: Sorted edges:e−f (1)h−i(2)a−d (2)b−e(3)b−c (3)d−h (3)e−h (3)c−f (3)g−h (4)a−b (5)d−g (6)d−e (7)e−h…

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A: a. Determine an equation for the combined function Y=g(x)f(x)​Given:f(x) = x + 3g(x)=x2+8x+15The…

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Q: Consider the vector field F(x, y, z) = (5xyz, 5xyz, 5xyz), the cube D = = {(x, y, z) | 0 ≤ x ≤ 4,0<≤…

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A: 5.b.y=2x2−3 6.a.y=x+51​

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Q: Consider the following matrices: A 31% 4 = [41 ¯¯ 10], b = [7 2 3 C=-37 4 D = 1 4 1. -2 -(9 0 7…

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A: Step 1: Compute B⊤BThe matrix B⊤B is calculated as follows:B=⎣⎢⎢⎢⎡​−111−1​11−1−1​1111​⎦⎥⎥⎥⎤​.Perform…

Q: 4. Let G be a group and let p be a prime number such that pg = 0 for every element g € G. a. If G is…

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A: Find stationary points: Stationary points occur where the gradient ∇f(x)=0. Compute: ∇f(x)=2Qx+b…

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Q: What is the value of the post fix expression ? 32 + 2 + 5 3-84 ± * - Also draw the free.

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Q: (a) Sketch the following set, M, in the complex plane: M = { EC || ≤ 1 and |zi| ≤ 1}. : (b) Find all…

A: (a)We can writeM={z∈C:∣z∣≤1}∩{z∈C:∣z−i∣≤1}The set {z∈C:∣z∣≤1} represents the circle with radius 1…

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Q: Course Name: Calculus with Analytical Geometry-1 Course Code: MATH 132 Do not use Artificial…

A: The problem is asking us to find the area bounded by the graphs of y = |x - 4| - 1, y = 0, and -1 ≤…