If n EN, then 1-3+2-4+3-5+4-6+...+ n(n+2) = n(n+1)(2n+7) 6

Q: Talking about sequences and limits .How can I from  | 2/n + 3/(n+1)  - 0 | < ɛ  get that the N = 5/ɛ…

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Q: Determine the group of field automorphisms of GF(4).

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Q: Estimate cos(x²) dx using (a) the Trapezoidal Rule and (b) the Midpoint Rule, each with n = 4. Give…

A: Solution :-

Q: Let B= (b₁,b₂} and C= {c₁.C₂} be bases for a vector space V, and suppose b₁ = 7c₁-4c₂ and b₂ = -9c₁…

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Q: Complete the following by calculating the cash discount and net amount paid: (If more than one…

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Q: (a) (b) (c) (d) (1+2i) ² 2 1/(1+i) √3-4i ein/4

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Q: For the following set of ODE's using Laplace Transform. ៩.៩ម dy₁ dt dyz dt +2y₁ + y₂ = 2 +y₁ + y₂ =…

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Q: Write the function f (z) = z³ + z + 1 in the form f (z) = u(x, y) + iv(x, y).

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

Q: 2. Show that Re(iz)=-Im z. 3. Show that Re(iz)=-Im z. 4. Reduce the quantity 5i (1-i)(2-i)(3-i) to a…

A: (2)  z=x+iy∴iz=ix+i2y        =-y+ix               ∵i2=-1Reiz=-yImiz=xRez=xImz=y∴Imiz=Rez∴Reiz=-Imz…

Q: 9x 4. y" -9y=3x 5. 4y" — y=xe*¹/2, y(0) = 1,y'(0) = 0 2y"+y'-y=x+1, y(0) = 1,y′(0) = 0 6.

A: y''-9y=9xe3x Finding the C.F D2-9=0⇒D=3,-3 Therefore C.F=c1e3x+c2e-3x P.I=u1xv1x+u2xv2x…

Q: Q=9₁jx²x-

A: Given gi j is a covriant affine tensor. To prove : Q=gijxixj is an affine invariant.

Q: Use the Midpoint Rule with n = 4 to approximate the integral. 13 [2³x². M4= x² dx X

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Q: an m x n matrix A. Claim 1: rank(A) / rank(AT). Claim 2: If the system Ax = b has a unique solution…

A: Theorem: For a given matrix A of size m×n, rank of A equal to ranks of transpose of A.

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Q: True or false: if an→a and b→ b then an-ba-b. Select one: O True O False

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Q: 3. Let A = 50 01 2 1 3 2 Onone of these 04 B 3 4 2 3 If A²B³ a b c d then ad - bc =

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Q: 2 Locate the numbers z₁+z₂ and z, - z₂ vectorially when z₁ = 2i, z₂ ==-i. 3

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Q: 1.5. Determine the absolute and relative errors of the approximceli 125.65 to the value 119.66.

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Q: Evaluate the summation for the indicated value of the variable. 1(1) + 2(2!) + 3(3!) + 4(4!) +…

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Q: 18. How many different equivalence relations are there on the set {a, b, c, d]? O 15 O 12 O 14 18

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Q: 4 Part 3 of 4 Required information NOTE: This is a multi-part question. Once an answer is submitted,…

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Q: and Consider the subspaces of V = R¹x³ Find a matrix X EV such that UnW=: X = span{X}. U = span{[5…

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Q: Find for x³ - ax² +axy + y³ = 0 using Newton's method. dy dx

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Q: ..HW... solve the following equat.1.9.4.2.......... -2x+y=1" ....... *****

A: Here we have to solve the given differential equation.

Q: If G is a group of odd order and x ∈ G, show that x-1 is not in cl(x).

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Q: Find all natural numbers b with 100 < b < 200 such that 5211b (mod 35)

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Q: Find an M and N which satisfy (M, N) = 395¹843759² and [M, N] =253¹05207²43759³6.

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Q: Write the addition and multiplication table for R={0,2,4,6,8} under addition and multiplication…

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Q: R(u, v): Let S be the surface defined by the vector function -2u,v +5,ve") for all (u, v) = R². Set…

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Q: 17. Prove or · disprove that (p → q) ✓ (~p → q) is logically equivalent to q.

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Q: Suppose that (sn) and (tn) are sequences so that sn = tn except for finitely many values of n. Using…

A: Let sn be a real sequence. A real number s is said to be the limit of  the sequence sn if…

Q: a. Find a nonzero element X in W. X= Let V be the vector space of symmetric 2 x 2 matrices and W be…

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Q: Problem 4. Polynomials p₁(x) = 1, p₂(x) = x and p3(x) = r² form a basis for the vector space P3.…

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