This is a combinatorics math counting problem: If σ(1) is not an element of {1, 2} and σ(4) does not equal 2, then how many permutations of [5] exists?

Q: The following set S of vectors spans R4. Find a subset BCS that is a basis for R4. S = 8 -3 Number…

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Q: For each operation defined below, either prove that it is an inner product on the given vector…

A: Given  vector space is  Pℝ  i.e. polynomials over the real coefficients and operation defined on  Pℝ…

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A: Given: f1x-1+f(x)=xx-1

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Q: Let C be the unit circle |z| = 1, oriented in the positive sense. Determine the following contour…

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Q: only HANDWRITTEN answer needed ( NOT TYPED)

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Q: Use the simplex method to find the maximum value of the objective function, given the constraints.…

A: Max P=21w+14x+20y+10z Subjected to constrain  12w+5x+2y≤303   w+x+y+z≤59…

Q: Consider the initial value problem given below. dy dx += x³y²₁ y(0.8) = 1.1 X The solution to this…

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Q: 1. For each of the following limits, write down which of the following techniques should be used to…

A: Since you have posted a multi subparts question according to guildlines I will solve first three…

Q: Suppose B = and {b₁,b2} is a basis for R², and suppose that Find B. Give your answer as the columns…

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Q: The set of polynomials s a basis for P₂. Find the coordinate vector of elative to B. [p(t)]s = B =…

A: Introduction: To find the coordinate vector for the given polynomial into the given basis you have…

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Q: SIMPLIFY the given expression: -5-[3+5 (-7)-5-3²-6×3]÷ 2

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Q: A. Use Simpson's 1/3 rule to find the following integration: 300 dx) by dividing it to four equally…

A: Given ∫37300x2-6dx and four equally segments i.e., n=4 So that f(x)=y=300x2-6x0=3; x0+nh=7 i.e.,…

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Q: Use the characteristic equation to find all of the eigenvalues and eigenvectors of the following…

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Q: 8. What is the minimum number of students, each of whom comes from one of the 5 boroughs, who must…

A: Let the required number of students be m.  Then, since there are 5 boroughs, number of students from…

Q: Let c[a, b] = (f:f: [a, b] → R be a cont. function), define d: c[a, b] * c[a, b] → R as d(f.g) =…

A: Let Ca,b=f:a,b→ℝ be continious function  define d: Ca,b∗Ca,b→ℝ as df,g=∫abfx-gxdx .

Q: The section BC is to be drilled in the direction of the vector 3i + 4j + k. Find the angle between…

A: Ans we are Given Data: 1- To calculate the distance AB. The section BC is to be drilled in the…

Q: y′′ + 16y = 32 cos(4x) − 24 sin(4x)

A: The given differential equation is        y'' + 16y = 32cos(4x) − 24sin(4x)…

Q: Consider the following. f(x, y, z)=√x² + y² +2 12.2.2015 •111~ f(x, y, z) V as an iterated integral…

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Q: Show that pq and (p ^ q) V (¬p ^¬q) are equivalent using truth table.

A: We will show p↔q and (p∧q)∨(¬p∧¬q) are logically equivalent using truth table. We will first write…

Q: 2-6 3 6 The matrix A = [a₁ s ro equivalent to the matrix B= 0 ag ܡ 2 -7 -1 -5 -1 0000 Give the…

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Q: Determine whether the statement is true or false. If lim_an = 0, then an is convergent. n→ ∞ False.…

A: False : Whenever the limit is 0 , the n- th term test is inconclusive.  (answer)

Q: 6-li -12i 12i 6 + li 2+6i -6- 2i The characteristic polynomial of A is (x+ Let A = The eigenvalues…

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Q: On the set of axes below, pentagon ABCDE is congruent to A"B"C"D"E". C" D" E" < B" A" y B A C D E ➜X

A: To Select: The correct option that maps pentagon ABCDE to A"B"C"D"E": a) a reflection over the y…

Q: Determine the real solutions to the syst y=log_(2)(3x+13)-10 y=log_(2)(x+5)-9

A: Ans-In this question we have to Determine the real solutions to the system  y = log₂(3x + 13) - 10 y…

Q: Prove that the closed interval [a, b] is homeomorphic to [0, 1]. Use topological definition of…

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Q: Find the unit rate. 486 games every 3 seasons

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Q: The range of a cosecant function is. The equations of two consecutive asymptotes of the function are…

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Q: ∞ Use the equation = Σ x" for |x| < 1 to expand the function in a power series with center c = 0.…

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Q: Q: A. Solve, in terms of Bessel function, the DE: 4xy" + (+4)y=0.

A: Introduction: Bessel functions are a family of special functions that arise in many areas of…

Q: Suppose that the integral I = (a) Determine b. b= (b) Determine f(x). = f(x) dz can be represented…

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Q: v1​=[−10​],v2​=[0−1​], andv3​=[−2−3​], which of the following is true?…

A: The given in this question is a set of three vectors: v1=[-1,0],v2=[0,-1] and v3=[-2,-3]. The…

Q: Find f'(x). -4 f(x) = (x6 +9) −4 f'(x) = [

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Q: 4. Solve the following IVPS: (a) y" — 2y' + y = e¯t with y(0) = 0 and y'(0) : = 1

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Q: What is lim an ? What is lim Sn ? n→∞ n→∞ lim an 2 and lim sn=2 n→∞ n→∞ lim_an=0 n→∞ and lim_an=0…

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Q: A small business is considering hiring a new sales representative (sales rep) to market its product…

A: The answer provided below has been developed in a clear step by step manner.

Q: A rhombus ABCD is such that: 1. A = (2, -3, 3) 2. B lies on the line L with vector equation: 2 4 y…

A: Remember that-: (1) Rhombus has equal sides, (2) Diagonals of Rhombus intersect at equal and same…

Q: Which of the following differential equations can be solved using method of undetermined…

A: To Find: Which among the following differential equations can be solved using the method of…

Q: (a) Find the critical points of f(x, y) = x² cos(y) + y² where - ≤ y ≤. (b) Classify the critical…

A: Given: A function fx , y=x2cosy+y2. To Find: Classify the critical points as min/max/saddle points.

Q: For each operation defined below, either prove that it is an inner product on the given vector…

A: Inner Product Space: Definition: Let V be the vector space. A function α: V×V→R, usually denoted…

Q: 4. (a) Is the following quantified formula true over the set of integers Z xy(x + y² > 0) Be sure to…

A: Ans-We are given  following quantified formula true over the set of integers Z .

Q: Let an be any series. Suppose that lim n→∞ an+1 an =c. Which of the following statements about the…

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Q: Find the amount of each payment to be made into a sinking fund which earns 5% compounded quarterly…

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Q: Consider the following set of vectors in P2. S = {x²,8 + x²} Solve for C₁ and c₂ in the following…

A: Given that the set of vectors in P2 .  S = { x2 , 8 + x2 }   Given that the equation c1(x2) + c2(8 +…

Q: 2. What does it mean for a relation from A to B to be a function? Explain why g(x) function from R…

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Q: 8. If a > 0, a 1, and b>0, b# 1, show that In b. loga (2)=(a)log, æ, Vx € (0,00). a, In particular,…

A: We know that for x∈0,∞loga x=logx/loga      a&gt;0 , a≠1Then , for any b&gt;0,…

Q: Problem 26 (*). Let A € Mnxn (F). The trace of A = (aij) is defined by tr(A) = a11 +...+ ann. (1)…

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