4. x and y are two positive integers. (x,y) = 5, Icm (x,y) = 200 and 15, find x and y. gcd x - y =

Q: Q 8. Find the largest eigenvalues in modulus and the corresponding eigenvector of the matrix [-15 4…

A:

Q: Problem Set B, continued 24 Given: PÝ bisects ZVPZ. (2x + 7)°, LVPY ZZPY = (3x - 9)°, PZ = ¹/x + 5,…

A: Note: as students has asked question 25, so i solved that.by using congruent rules.

Q: Use Euclid's algorithm to calculate acd(33 + 35. 332 + 352).

A: I have used Euclid algorithm

Q: PROBLEM 5 A class with n kids lines up for recess. The order in which the kids line up is random…

A: There are n kids in the class and they lines up for races.  Since all n kids are different,…

Q: Discrete math question attached.

A: The objective of the question is to prove two properties of a one-to-one function f from a set X…

Q: п(3п — 1) 1+4+7+ ...+ (3n – 2) =

A:

Q: р-1 Suppose p = 1 mod 4 and g is a primitive root mod p. Show a = gʻ4 satisfies a? = -1 mod p.

A: p = 1 mod 4. g is primitive root modulo p. => order (g) = p-1.  => gp-1 = 1 mod p and gn ≠ 1…

Q: Prove that for any x, y ≥ 0, we have √x - √y ≤ √√x - y). (Hint. Consider the cases x≤y and y ≤ x…

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Q: 1. How many different bit strings of length seven are there?

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Q: what are natural numbers?

A: Natural numbers are the counting numbers begins with 1 and continued to infinity. That is, 1, 2, 3,…

Q: (6) +() + (^) = 2" is it ? 4---+ wh is that?

A:

Q: How does people exploit pattern in mathematics?

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Q: Let A be the adjacency matrix of the graph shown below. v3 v4 Without actually computing A?, A and A…

A: Let A be adjacency matrix. The elements of the matrix A indicate whether pairs of vertices are…

Q: A linear recursion is given by an = -2an-1 + 3an-2, ao = 2, a1 = 3 (a) Calculate az and az. (b) Find…

A: The solution is given as

Q: Prove the following statement using its contrapositive. Let m and n be two integers. If m² + n² is…

A: I have solved the question. Please go through that.

Q: Solve the system using the inverse of the coefficient matrix. -19 x+5y+4z = -24 x+4y+5z = -21…

A: The given system of equations,The aim is to find the solution to the system of linear equations…

Q: ???? 9 p T-S pvs a) qvr b) qv~p Questio Question c) ~pvr d) None of the choices above make the…

A: In the statement x implies y, if x is true then y is also true.

Q: Use the Gauss-Jordan method to compute the inverse, if it exists, of the matrix. A= 2 0 2 -3 0 3 2 0…

A: Inverse of the matrix exists if the determinant of the matrix is non-zero.

Q: 3. (b) Explain how Newton's interpolation formula better than the Lagrange formula.

A: Lagrange interpolation is mostly just useful for theory. Actually computing with it requires huge…

Q: Prove that every tree with n vertices has n - 1 edges (use induction)

A: We have to prove that every tree with n vertices has  edges.To prove this statement we will use…

Q: Q 6. Solve the following primal LPP and its dual by simplex method : Max. Z, = 5x1 + 12x2 + 4x3 ,…

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Q: Solve the boundary-value problem д2u k. ди at' 5,00 u(0,t) = 0, u(L, t) = 0,t > 0 u(x, 0) = 2L,0 < x…

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Q: Find a fundamental matrix of the following system, and then apply x(t)=(1)(0) ¹x, to find a solution…

A:

Q: Let g: NQ be a function defined by 2n³ + 6n² + 4n 3 3 (a) Factor the numerator completely. (b)…

A:

Q: 3. Let P(x) and Q(x) be propositional functions. Show that 3x (P(x) → Q(x)) and Vx P(x) → 3x Q(x)…

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Q: 5. Find the solution of the following system of congruences: 3x+4y= 1(mod11) 2x+5y= 7(mod11)

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Q: Construct a field with 5 elements. Draw the tables of addition and multiplication. Hint 1. Let the…

A: Let the elements of the field be {0,1,a,b,c} where we assuming a=2,b=3 and c=4 for easily…

Q: A landscape designer has to construct a rectangular flower bed with a perimeter of 100 feet and the…

A: We have to find the maximum possible area of the flower bed.Let us take -x= length of rectangular…

Q: c= c(a) >0 such that

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Q: Use implicit differentiation to determine the derivative of the following functions. 1. 3x²+2y²-81…

A: Given :3x2+2y2-81=05x2+4y=16

Q: Let A={(-1)" Find sup A and inf A. Provide some explanations how you got their values or why they…

A: