Theorem. E(X) = np If X has a Binomial distribution, then Var(X) = npq mx(t) = (pe¹ + q)

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Q: You must choose one problem from each category below. All exercise numbers are rom the Nicholson…

A: A penny is worth 1 cent. A nickel is worth 5 cents. A dime is worth 10 cents.Assume there are 'x'…

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A: Here given questions is from inner product,We find norm ||p|| and ||q||

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Q: Evaluate -ax fote Jo(bx) dx, a, b > 0. Actually the results hold for a ≥ 0, -∞ < b <∞o. This is a…

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Q: 4. Consider the sequence of functions {xk(t)} defined by xo(t) = 2 { Tk+1(t) = 2 + √² cos² (7) 2x…

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Q: Consider the function f(x) = 2x³ − 15x² + 36x + 1 over the interval [1,4]. Which statement in below…

A: Consider the function  over the interval .Which statement is below is false ?1.  is a local maximum…

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Q: Find the union and intersection of the following indexed family of collections. " (a) For each…

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Q: Create an excel program using this non-linear equation using the following methods: (a) (b) xe* —…

A: The equation given to us is as follows:(a) We are asked to create an excel program to find the…

Q: has eigenvalues A₁ H = 1 and A₂ = 5. The bases of the eigenspaces are v₁ the matrix A= 12 Find an…

A: We have to find the S and D matrix

Q: Consider the matrices below and find the requested products if possible a. Find AB. b. Find BA. A =…

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Q: A surface mount PCB placement/soldering line is to be installed for $1.300,000. It will have a…

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Q: Use the divergence theorem to find the outward flux of F across the boundary of the region D. F =…

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Q: Find the closest point to y in the subspace W spanned by V₁ and V₂ 2 2 - 1 y= a. 3/6 -2/6 丽··· -1/6…

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Q: How does the 2 in (152)(34) go to 6 instead of 1

A: Disjoint cycles: Two cycles  and  are said to be disjoint cycles if a point moved by thepermutation…

Q: 1.- Uncouple from the Neumann equation and identify the Sturm/Liouville problems corresponding to…

A: As per the question, we will present four different solutions to the Neumann equation in various…

Q: 9. Let u = : (4, -1), v = (0, 5), and w = (-3, -3). Find the com- ponents of a. u + w c. 2(u - 5w)…

A: We have u=(4,-1)v=(0,5)w=(-3,-3)

Q: If G is a group, then the set Z, defined by      Z={z∈G:zx=xz   ∀  x∈G}.  Prove that Z is a subgroup…

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Q: Let u = (1, 1, 8). Find ||||. Use that to find a unit vector that points in the direction of u.…

A: The given vector .We have to find the value of and the unit vector in the direction of .

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A: We have to find the cholesky decomposition of matrix A The procedure is given below

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Q: A. Solve the given problems: Show your solution. 1. Estimate the integral of a function from a=2.4…

A: For applying Simpson's 1/3 rule: the values can be tabulated as shown below.Enetr the values of…

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Q: uppose you are studying the growth of a bacteria population and you notice the rate of change of the…

A: Assume Population of the bacteria at time t be P(t).The rate of change of population is equal to 3…

Q: Solve the differential equation by variation of parameters. y(x) = y" 16y= 16x 4x est

A: Variation of parameters

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A: 1) a) Let         Let         Now, recall  the  fact  that…

Q: 6. Find the value of b if f(x) horizontal asymptote is y=-3. = ax² +5 x²-9b so that one of the…

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Q: that pn+1 an n! azn Pn(cos 0) = (-1)"

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Q: 2) Given S(xx)= In (x²+x), ansv A) Explain in one geoint B Dete answer the following questions: two…

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Q: -1 1 Let A 24 1 2 10 b= -4 4 The orthogonal projection of b onto Col A and the least-squares…

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Q: LetT: P₂ → P3 be the transformation that maps a polynomial p(t) into the polynomial (5t + 2)p(t))…

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A: A digraph, short for directed graph, is a mathematical structure that consists of a set of vertices…

Q: Let F = Vf, where f(x, y) = sin(x - 5y). Find curves C₁ and C₂ that are not closed and satisfy the…

A: In mathematics, a curve is a continuous and smooth path defined by a set of points in a…

Q: A = -3 2 -1 1 k A = 1 k² k k k² 050 [1 k k k² 7 1 5

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Q: Prove that x* = (1, 0.5, -1) is optimal for the following optimization problem min 1xAx+b²x S.t.…

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Q: 2x-10 x²-4x-5 1. Consider the function y = a) Sketch a graph of the function. b) State the following…

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A: Solve the D.E by using method for solving homogeneous equation.

Q: Let a = (5, — 4) and ☎ = ( − 4, k). - - Find k so that a and will be orthogonal (form a 90 degree…

A: Given thatCondition of vectors orthogonality. Two vectors a and b are orthogonal, if their dot…

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Q: Solve using Gauss - Jordan Elimination 3x₁ - 7x2 - 2x3 = 37 x₁ - 3x2 = 15 13 -7 -3 -2 37 23] 15 Ap)…

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Q: If coth (a)=-9 then cach (a)= (Remember that coth (z) <0 only when z <0. Use coth2 (2)-1-cach2 (2).)…

A: Given that  and  for .We have to find the value of .

Q: A group G is called metacommutative if there exists an exact sequence 1 → G₁ →G→ G₂ → 1 where G₁ and…

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Q: The strain tensor e¡¡is given by the following expresión: eij 1 x²x²x1x3 X3 x² x²5a² x² \X1X3 where…

A: As per the question, we are given a strain tensor eij, and our task is to verify whether the…

Q: A singular value decomposition of a matrix A is as follows: -0.5 0.5 0.5 -0.57 10 01 -0.5 -0.5 0.5…

A: We have to find A1 matrix and norm of A-A1 matrix And then find the rank of matrix

Q: Find the truth values of the following propositions using the truth tables: V:true F:False A. [(pvq)…

A: P ^ q is defined aspqp ^ qVVVVFFFVFFFFP v q is defined aspqp v qVVVVFVFVVFFFp &lt;-&gt; is defined…