If there are 3 times more elements in X_{1} as there are in X_{5} find the following values :

Q: What are the solutions of x^2+x+10=0 over Z_11

A: Given query is to find the solution of the quadratic.

Q: Which of the following is equal to 64x2 - 36? 4 (4x- 3) (4x + 3) (4x +3) (4x – 3)

A: Given :          64x2-36

Q: for x belonging to Z,  prove or disprove 2x^2 +x +1 must have a remainder 1, 4, or 5 when divided by…

A: Given statement is false

Q: E = 5 3 -2 -4 2 -4 -4 0 -3 3 gota 2 2 2 4 4 -2

A: To find the entries 1, 2, 2, 3, 2, 4, 3, 4 of E-1.E=5-2-423224-4-404-323-2

Q: If z_k = 6, and z_3=15, what is z_(k+2)?

A: Since Zk=6 and Z3=15 and the common difference between each term in the sequence is 9, we can use…

Q: 7x 1+2x 2+1 x_3+8 x_4+9x_5 = 69 9x 2+3 x 3+4x_4+4 x 5 = 54 4x 1 + 6 x 2+5 x_4+4 x 5 = 40 2x 1 + 10 x…

A: We solve the following system of linear equations using the Gauss-Jordan Elimination Method:

Q: If lcm(a, b) = a² then %3D (a) gcd(a, b) = a (c) gcd(a, b) = 1 (b) gcd(a, b) = b (d) None of these

A: To solve this problem, we use the standerd result of lcm and gcd

Q: Show that 8.

A: A∞=Max∑j=1naij  for i=1 to n=maximum row sumA*=AT=ajiA*1=Max∑i=1naji  for j=1 to n=maximum column…

Q: let t eti = 올 h20 nit1 Compute Bo, B₁, B2, B3

A:

Q: 5. Compute A63, where 4-621 A =

A:

Q: 14x +4 4s4

A:

Q: In R4 suppose X = (11,3,-4,2), Y = (12, 10, 8,-1), and Z = (-1,7, 16, -22). If W = (a, b, 13, c),…

A:

Q: Find the normalized binary representation (in a 32 bit computer) of x = -0.7908. (if x = 0, contact…

A:

Q: Which member of binomial expansion of (2x^3 + x^-1)^10 contains x^6 ?

A:

Q: 2 ľ xe2xdx

A:

Q: Problem 3. Let a, b and n be positive integers. Prove that (a) gcd(an, b″) = gcd(a, b)” and lcm(a”,…

A: To prove the given statements, we will use the following properties of the greatest common divisor…

Q: = A positive integer is called perfect if it is equal to the sum of its positive divisors other than…

A:

Q: Exercise 2.8. Let a, b be real numbers and let a ^= (₁ 1) A and B -(1) What is AB ? Compute A² and…

A: We use method of induction to prove A^m .

Q: 6. (6x – 15)' (2r+ 1)

A: To find x ?

Q: Find follewing lemits x3-14x3+ lim 42x+2 b-X Answer 'as an in teger. orwholenember

A: Find the limit of the function (x3-14x2+42x+2)/(x-9) as x tends to 9.

Q: 5x-6)+((25x^(2)-36)/(x+3))-(1)/(x+2) as a single fraction in its sitr Show clear algebraic working.

A: The given expression is: 5x-6+25x2-36x+3-1x+2 To Do: We have to write the given expression as a…

Q: dr x2 + 4x + 2

A: We will use partial fractions to solve the integral

Q: S={(4,5),(4,6),(5,4),(6,6)} and S^-1={(5,4),(6,4),(4,5),(6,6)}. Find the composition of S and S^-1.

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Q: use the Pascal'striangle to expand (x+y)^(4) For f(x)=-45x^(3)-5x^(5)

A:

Q: how to solve the min z = 3x1+5x2 subject to  1) -3x1+4x2-2 4) x2>=2 5) 2x1 +3x2>=12 and x1 ,x2>=0

A: Given: The LP problem, Min z = 3x1+5x2 subject to -3x1+4x2≤12                        x1≤4…

Q: 12. 110 0 0 2 2

A: As per guideline we can solve maximum one question you can repost other.…

Q: A = [14]. -1

A: Here given A=111-1

Q: Express (2ry+ 2x- 1)-i (x2 - y-2y) as polynomial in the binomial argument z = x+ iy. O iz? + 2z + 1…

A:

Q: in the expansion of (x^2-(1/2x))^5 ) what is the coefficient of x^4?

A: Given that  (x2-12x)5 Apply binomial theorem:a+bn=∑i=0nnian-ibiHere,a=x2,  b=-12x ∑i=055ix25-i-12xi

Q: Show that 3x^2 + 4x + 3 ∈ Z_5[x] factors as (3x + 2)(x + 4) and (4x + 1)(2x + 3). Explain why this…

A: UFD- An integral domain in which every non-unit non-zero element can be uniquely  written as the…

Q: 6. Find the values \lambda such that - 2-2 3 det 2 3-A -5 -5=0 2 3 -5-2

A: Ans:

Q: For what value of k is x+1 a factor of x^4+2x^3-3x^2+kx+1 in ℤ_5[x]?   1 2 3 4 None of the above

A: