If a and b are distinct integers prove that a-b is a factor of an -b" whenever n is positive integer

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Q: solve question (g),(h) with complete explanation asap

A: We use Hasse diagram and use definition of supremum and infimum.

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A: A Hamiltonian path is a path in an undirected and directed graph that visits each vertex exactly…

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Q: Required information NOTE: This is a multi-part question. Once an answer is submitted, you will be…

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Q: Is the following graph bipartite? Why or why not? Justify your answe swer.

A: Yes, the Given graph is a bipartite graph. A bipartite graph is a graph in which the vertex set can…

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Q: the <t < c is

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Q: Put the problem solving strategies tos similar problems. e below. Numbers Result Rewrite the nu

A: Introduction: The triangular number sequence is a representation of numbers in the shape of an…

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A: The alternating series test for the convergence of the series is as follows. If the alternating…

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Q: 3) y= 3cot 20 3元 5T 3元 7元 2て 元 TC 4 4 4. 4 元2

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Q: y = a(0.1) %3D Write the original function. = a z a(0.4642)* = a(1 – 0.5358)* %3D :: Evaluate power.…

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Q: 6. Find the moment of inertia of the area bounded by the curve y2 = 4x the lin y = 2 and the y-axis…

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Q: Determine whether the following relation is a function from R into R. A Iso deter- mine whether that…

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Q: . Test for an extremum the functional I[y(x)] = [(x»+ x² – 2y²3y')dx, y(0)= 1,y(1)=2 |3|

A: test for an extremum the functional

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A: By graph we can see that

Q: 5) Solve the following system of linear equations by using a. Cramer's Rule. b. Inverse Matrix…

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Q: Find the number of right hand plane roots in each polynomial g6) = =s'445³+4s²+ 165+5 Case II : Case…

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Q: 2. Consider the function ƒ : R × R –→R x R defined by Determine the powers of f. (Note that R × R…

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Q: Gauss-Jordan Method 2w + 2x + y = 10 3w – y + z = -11 x + 5z = 5 -w + x = 14 %3D

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Q: EL Fit a straight line to the x,4 value in 지난 the following data X:11121314/516 9i lo.5 2.5 2|3.56…

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Q: Consider the vector space V = C2 with scalar multiplication over the real numbers R and let W and U…

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Q: Q 2: Determine the Fourier series for the periodic function of period 2n defined by: 70 when - T <t…

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Q: Write down the solution of the differential equation: y+4y +3y 0 if y(0) - 2 and y (0) =3

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Q: a.) Determine if x< = 2 (mod 7817) has solutions. b.) Determine if x< = 3760 (mod 4861) has…

A: x2≡2(mod 7817) has a solution if and only if  2 is a quadratic residue of 7817. Euler's criterion…

Q: Find the missing parts of the triangle. B = 11.7° b= 8.75 a= 10.79 If necessary round angles to the…

A: given B=11.7° b=8.75 a=10.79 using the sine law of triangle sin Aa=sin Bb=sin Cc substitute the…

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Q: Enable Editing e careful-files from the Internet can contain viruses. Unless you need to edit, it's…

A: Using Venn diagram we have to find these arguments are valid or not .

Q: 4.x – 6 2. Let f(x) = 1- (2х - 3)3" (a) Find the Taylor series representation for f about r 1.5 that…

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Q: 3. Fimd the exact atea of the Sure Pace curve y=V5-x 3{x55 by Yotating the our X-aris.

A: The given curve is  y=5-x  ; 3≤x≤5

Q: Expand f (z) = in powers of (z – 12). Also clearly mention the domain in which this (z–15) expansion…

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Q: a) Define a linear operator on R by performing the following operations in order: i) a shear in the…

A: As per policy, we are solving Question (a) only, Please repost the Question to get the solution for…

Q: Find a) Ra Py for ū =|2 3

A: The symbols Rπ2Py indicates that the matrix is rotated by π2 and the projection is on  y axis. The…

Q: Algebraically determine the value of x in the following equation. 8-3æ -x+1 16 Show your work for…

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Q: ) Let A be a nonsingular matrix, consider the 8 2 2 matrices A- -9- 4 10 2 (a} .- ) Find the…

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Q: Tell whether if the given sets are Finite, Infinite, Empty, Singleton, Equal, Equivalent, or…

A: We will use basic set theory concepts in this question

Q: Solve the following initial value problem with Laplace Transform  y''-6y'+15y=2sin(2t) with…

A: We use Laplace Transform to solve given differential equation.