Given: f(n) = 3n^3 + n^2 + 2 What is the O(n) of f(n) What are two constants c and k that prove your answer

Q: 5. Consider the vector space P2 along with the subspace, H= span {1+ 21°, 2, -f,1-f} Use coordinate…

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Q: Prove that if S is a bounded set then S is bounded.

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Q: ill in the mssing ontries lo complete the adjaceriny list representation of the given graph. 34 V…

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Q: Determine which number, 0 through 6, is the given number equivalent to in modulo 7. Write your…

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Q: Question 3. In parts (a) - (c), prove that for all n ɛ N: (a) n-1 £(:)-I- n k k=1 k=0 (b) £(:)-- n =…

A: Here we will use binomial series expansion  a+xn=n0an+n1an-1x+n2an-2x2+......+nn-1axn-1+nnxn…

Q: The equations of three lines are given below. Line 1: 3y=-4x+5 Line 2: 6x-8y=8 4. Line 3: y= For…

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Q: Let (G, ) denote the set of all 2 x 2 real matrices A with det{A} 0 Question 5. and det { A} E Q…

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Q: () Consider matrix A = and vectors x = and y = Calculate matrix B = (A – A")² and vector w = Bx.…

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Q: Exercises 6.1 In Exercises 1-8, show that the given set of functions is orthogonal with respect to…

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Q: Given a scalar field f(x, y)= xy + x² and C is the curve defined by the equation y =-x². Calculate F…

A: Given scalar field  fx,y=xy+x2 and C is the curve defined by the equation y=-x2.

Q: 1. The coefficient a, of the Fourier series of the periodic function f(t)= (2t 0<t<2 0 2<t<6 is…

A: Some of the books use the Fourier series as first coefficient a0, some of the books use this as…

Q: Construct a symmetric matrix A with eigenvalues A1 = -3 and A2 = 10 and corresponding orthogonal…

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Q: Consider a four-input function that outputs a 1 whenever an even number of its inputs are 0. a)…

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Q: Find the radius of curvature at any point x = - of the curve

A: Given,             y=4sin2x-sin4x at  x=π4

Q: Let G = { a+bi ∈ ℂ : a and b are rational numbers, not both zero } . Prove that G with the operation…

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Q: Evaluate the following problems using modular arithmetic. Write your answer as a modulus statement.…

A: To evaluate the given problems using modular arithmatic.

Q: Let f(z) =1+z+ z² (a) definition of Taylor polynomials. Find T3(z), the Taylor polynomial of f at z…

A: Given function is: fx=1+x+x2+x3+x4+x5

Q: 1. Use Euler's method to approximate the solution of the following initial-value problem at t = y' =…

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Q: Find the Fourier transform of f(x) = sin x. In what sense does the Fourier transform exist?

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Q: By using the sccant Methad findthe:voots ofeauation

A: We have f(x) = x-22-ln(x) x0 = 1 and x1 = 2 f(1) = 1-22-ln(1) = 1 f(2) = 2-22-ln(2) = -0.69315

Q: A trucker drove 144 miles to make a delivery and returned home on the same route. Because of foggy…

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Q: For the DE system x' = Ax Which of the following matrices corresponds to the phase portrait shown?…

A: (sorry Option First is not clear )  All Have Complex Conjugate Eigen values so All Option are…

Q: Use the Gauss-Seidel Method to these linear equations. How many iterations will there be until two…

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Q: (a). Use a linear approximation to estimate (1.99)4. [Hint: Use the linearization of f(x) = x*.]…

A: Use the following formulae, to obtain the solution. The linear approximation of the function fx at…

Q: a 1.F.5 To any vector v = in R³ we can associate a polynomial p.(x) = ax² + bx + c in P<2. There is…

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Q: Problem 6. Find all positive primes p such that n = 1001p satisfies that a" = a mod n for all a.

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Q: how that every Cauchy sequence {pn} is bounded.

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Q: Solve the following system of linear equations: 2x + 3y – 4z = 1, - 2w + x + y+ z = 0, w – x + y – z…

A: Given system of linear equations is w−2x+3y−4z=12w+x+y+z=0w−x+y−z=−1........1 We have to find the…

Q: Lotto 6-49 is a lotto game where the first prize is awarded if you choose 6 numbers correctly (from…

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Q: a) V = R", (x, y) = (Ax) · (Ay) where A e Mn,n is invertible.

A: Given that, V∈Rn,  A∈Mn,n is invertible matrix, i.e  A≠0 we have to show that x,y=Ax.Ay is inner…

Q: Let X be a Banach space an {xn} be a sequence in. X. Prove that if {xn} converges in norm in X, then…

A: Given: Suppose X is a Banach space and xn→x in X. To prove: xn→x weakly

Q: 3. Decrypt the letters XMMIFZXQFLKP if it was encrypted using an alphabetic Caesar shift cipher with…

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Q: Si Vzdz = 14/3 14/3+can unknown constant 16/3 not calculable*

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Q: B = f (2) da where f (x) > 0 for all a.Which of these statements is true about B? Bis the average…

A: The function fx represents a curve and since fx&gt;0 it can be concluded that the curve lies above…

Q: 2. Solve the initial value problem by the method of Laplace transforms: y" – 3y – 4y = 12e², y(0) =…

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Q: Find the centroid of the solid of revolution obtained by rotating the region bounded by y=x^3, y=8,…

A: We have to find the centroid of solid.

Q: Q5) by using the (graphical method) find the optimum solution of X1, X2 that the maximum Z=4X1+5X2…

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Q: 8. Use Newton's method to approximate the positive solution of sin r = 0.8x correct to five decimal…

A: Given, Sinx=0.8x →Sinx-0.8x=0. ie., f(x)=Sinx-0.8x So,f'(x)=Cosx-0.8 Let initial solution x0=1 We…

Q: Which of the following is false? O ("2) = 2(") k ㅇ ") %3 (4") + (F) k n(n+1) (":"): 2 2 O ()² = (?)…

A: We have to check whether given statement is true or false.

Q: Match graphs A-D in the following figure with the functions below. Assume a, b, c and d are positive…

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Q: Show that in the factor ring Z[i] / , the element x + is a unit.

A: Given a factor ring Zx2x+1=a0+a1x,+⋯+2x+1 |a1∈Z  As 2x+1+2x+1=0+2x+1 Since,  2x+1∈2x+1   as aH=H iff…

Q: 1. Solve the following ODE by the method of variation parameters 4y" – y = 1. (Other methods are not…

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Q: Construct a graph with vertices S, T,U,V whose degrees are 2, 0, 2, 2 What is the edge set? ST SV TV

A: Graph the graph, using Degree sequence

Q: If f (x) = 4x +7 and f (z) goes through the point (2,4) then f (x) ... !! 12 + 7x a' + 7x +c where…

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Q: 17] For each of the following equations, • find general solutions; • solve the initial value problem…

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Q: The perimeter of the triangle below is 59 units. Find the length of side VW. Write your answer…

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Q: 2. Prove: for all sets A and B, if A C B, then AUBC B.

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Q: For each of the following equations, • find general solutions; • solve the initial value problem…

A: Since you have asked multiple questions, we will solve one question for you. If you want any…

Q: In Table 12.5.1 on p. 135 in [Biggs] (Page 11 in the Cryptography compendium), the different cycle…

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Q: Find all proper nontrivial subgroups of Z; × Z, x Z;. Find all subgroups of Z; x Z, of order 4.

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