Find UBE3 B and NBE3 B for each collection 3. a. S = {[1,1+]:nEN} b. 3= {(1,1+¹):n € N} c. 3= [[0,3], (1,5), [2,4)}

Q: (a) Calculate the flux of the vector field F(x, y, z) = 27 - 4k through a sphere of radius 3…

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Q: For each real limit, explain whether it is convergent, divergent to to, or otherwise divergent (not…

A: Given : limx→1+ x3-1x-13 To Find : limit

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A: We have to solve the following initial value problem:                 y''-2y'+y=0,          y(0)=1,…

Q: Linda deposited $6000 into an account with a 3.1% annual interest rate, compounded quarterly.…

A: Given information Amount =$6000, Rate = 3.1%  = 3.1100 = 0.031, Future amount = $7500, Compounded…

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A: We have to solve the following initial value problem…

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Q: 3) Find the general solution: y' my = c₁emx, m is constant. .

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Q: Let p be a prime such that p mod 4 = 1. How many elements oforder 4 are in GF(pn)*?

A: It is given that, p be a prime such that p mod 4 = 1. We have to find the number of elements of…

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A: Given that the trigonometric equation 4sin2x-sinx-5=0

Q: Determine the Galois group of x2 - 10x + 21 over Q.

A: We have to determine the Galois group of x2−10x+21 over Q. Let E be the splitting field of…

Q: Diagonalize the following matrix: 1 13 5 7 -5 -7 -1 -1 7 not diagonalizable 60 0 -1 1 1 0-9 0 = 0 1…

A: Solution:-

Q: lternating group An is abelian if and only if n <=3.

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Q: Find the volume of the Solid formed by revolving the region bounded by the graphs of Y = √x₁₂ y=0₁…

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Q: Show that if n is an integer and n³ + 5 is odd, then n is even using

A: Introduction: The steps taken for an indication by contradiction (also called indirect proof) are:…

Q: 3.30. In Laplace's rule of succession (Example 5e ), suppose that the first n flips resulted in r…

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Q: Let C denote the set of all ordered pairs (a, b) with a,b & R. L.e., C:= {(a,b): a,b € R}. Define…

A: NOTE: According to guideline answer of first three related subpart can be given, for other please…

Q: Place the following functions in an asymptotically increasing order. n log(n!) nn > > > > > > >…

A: Given the functions

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Q: 18. The complement of (-∞,4] N [1, + ∞) in Eis¸ A.open but not closed B.closed but not open C.both…

A: The complement of (-∞, 4]∩[1,+∞) is: (-∞, 4]∩[1,+∞)c=1,4c=-∞,1∪4,∞

Q: Show that the power series (a)-(c) have the same radius of con- vergence. Then show that (a)…

A: A series is represented as ∑n=1∞ anx-cn where an's are the coefficients of the  series for n=1, 2, ……

Q: Find the circulation and flux of the field F = -x²i-y²j around and across the closed semicircular…

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Q: 1. Suppose we start with a zero balance. We deposit $10 into the account in the second month, $20 in…

A: Given: In this question, the given details are, Here, In first month there is no deposit amount,…

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Q: Assume that a rocket is in space and is following the path y = – 6(x − 7)² + 3, from left to right…

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Q: The given family of functions is the general solution of the differential equation on the indicated…

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Q: For all possible truth values combinations of its inputs (simple statements), determine the truth…

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Q: Find if the vector w = (-3,2,-6) can be expressed as a linear combination of the vectors v₁ =…

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Q: Solve the following problems (a) Find the eigenvalues and eigen-functions for the problem ƒ” (x) +…

A: NOTE: According to guideline answer of first three related subparts can only be given, for other…

Q: Suppose b and c are real numbers such that b-c> 1/2. Let {b}and {c}converge to b and N, both b c…

A: Recall definition of convergence.

Q: Porve the Cantor Bernstein Theorem if possible.  Theorem states: There is a bijection between two…

A: Hint: Let, A0=A and B0=B By recursion , let Bn+1=fAn and An+1=A\gB\Bn+1 This definition is slightly…

Q: What is 3600 sexagesimal seconds in radian?

A: Use the result , In Sexagesimal system, 1 degree = 1 minute= 60 seconds. Therefore, 60 degrees = 60…

Q: Suppose that you decide to borrow $17,000 for a new car. You can select one of the following loans,…

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Q: 29х u = e cos (9y) satisfies which of the following equations 2 O O O ( ди Эх 8²₂ до 2 du дх [amm +…

A: According to our guidelines we can answer only one question and rest can be reposted.

Q: Show that an integral domain with the property that every strictlydecreasing chain of ideals I1 ⊃ I2…

A: Let D be an integral domain in which every strictly decreasing chain of ideals I1⊃I2⊃... is finite.…

Q: Let f(x) = 12 + 5x]. Then for x <-, f'(x) = -2 The left-hand derivative of f(x) at x = - is The…

A: The given function is fx = 2+5x                                           = -(2 + 5x) , for…

Q: Let x1, . . . , xr be eigenvectors of an n × n matrix A and let S be the subspace of Rn spanned by…

A: It is given that x1, x2, …, xr are the eigenvectors of an n×n matrix A and S is the subspace spanned…

Q: Theorem 7.6. Suppose that both f and f are in L¹(R). Suppose there exist constant c₁ and c₂ such…

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Q: Determine the root of the function ln (x2) = 0.7 a. Analytical solution of 3 decimal-point…

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Q: 5. Write an equation for the line described in standard form and then graph the equation.…

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Q: Sketching a Function A Sketch the graph of a single function f(x) that satisfies all of the…

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Q: 4. The set S = {ão + a₁x + a₂x²: ao + a₁ + a₂ = 0}.

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