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

Q: In S_3 find all elements a such that a^2 = p_0 = identity, and all elements b such that b^3 = p_0 .

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Q: Find the sum of product expansion of the function F(x, у, 2) 3D (х + у)xz + хух + у z хух + хух + ху…

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Q: \text { 28. } f(x)=\left\{\begin{array}{ll}x^{2}+2, & x \leq 1 \\2 x^{2}+2, &…

A: Given piecewise function is fx=  x2+2   ; x≤12x2+2  ; x>1

Q: Use Newlon's Me thod with the runclion $r(x)=x^{2}-2$ and inilial value $x_{0}=3: to calculate…

A: Givenf(x)=x2-2            and     x0 =0 newton method  xn+1=xn-f(xn)f'(xn)

Q: find the general solution for      Z_xx+Z_x +x+y+1=0

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Q: How many injective functions have domain {a,b,c} and codomain [100]?

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Q: 1. Add (1, 5) and (2, 3) on the curve Y^2 = X^3 + 3X + 8 over the field of 13 elements. 2. Add (9,…

A: Given Information: The curve is given as y2=x3+3x+8 over field 13. To find: Add the given points on…

Q: Suppose d(10!*x) = 2700, here x is another integer. What is the minimum possible value of x? Here…

A: given : Suppose d(10!*x) = 2700, here x is another integer and  gcd(10!, x) =1.

Q: Suppose X - N(-1, 2). What is the z-score of x = 2?

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Q: Let X_4, X_6 the number of 4 and 6 you obtained in 4 rolls Compute the covariance of 1_{X_4>1},…

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Q: A polynomial of degree n is developed using the interpolation method which based on the n-1 number…

A: Note : As per our guidelines we are allowed to solve one question at a time. Kindly repost the rest…

Q: Show that the diophantine equation x^4 - y^4 = z^2 has no solutions in nonzero integers using the…

A: To Show: The diophantine equation x4-y4=z2 has no nonzero solutions in integers using the method of…

Q: show that Aut (Z_2 *Z_3) is isomorphic to Aut(Z_2)*Aut (Z_3)

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Q: Find all critical numbers for f(x) = ×^3 - 3x - 5 and determine if each is a local max, local min,…

A: To find all critical numbers for fx=x3-3x-5 and to determine if each is a local max, local min, or…

Q: Jump to level 1 u= = [2,0,4] v = [1,8,3] ux v= [Ex: 5 Check 14 Next Ex: 5 2 " Ex: 5 3.

A: Given query is to find cross product.

Q: The set from problem 1 is a_(n+1)=sqrt(3+2*a_n), where a_1=1 For problem 2, it shows that A is not…

A: 1) An increasing sequence limits to its supremum. 2)A is unbounded if it goes to infinity.

Q: Construct a Boolean function of degree 4 that has value 1 if x_{1}=x_{3}=1 and x_{2}=x_{4}=0

A: To construct a Boolean function 𝑓(𝑥1,𝑥2,𝑥3,𝑥4) of degree 4 that evaluates to 1 if and only if…

Q: Use arrow notation to write a rule that describes the translation of M’N’O’P’ to MNOP

A: Here we have to find the translation in the given rectangle of M’N’O’P’ to MNOP

Q: To find the P(Z > 0.93) find the row containing---- in the far left column. Then find the column…

A: Given that P(Z>0.93).

Q: c) Find the edf of X. 2. A contractor is required by a county planning department to submit one,…

A: Note: According to Bartleby guidelines we can solve maximum of three subparts in a question and rest…

Q: S*(1+ 2') %3D 14 + C In(7) In(14) 7t+1 In(7) 14t+1 + C In(14) 7t In(7) 9t + C In(9) 7t + C In(7) 7t…

A: The given integral is: ∫7t1+2tdt Now, shift the 7t under the brackets.…

Q: P(5' U T)= [ Choose ] P(odd and T)= [ [ Choose ] P(even and H)= [ Choose ]

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

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Q: By using Eisenstein's criterion we can conclude that the polynomials x^3+4x^2+3 and…

A: Using Eisenstein's criterion we can check a polynomial is reducible or irreducible. For that some…

Q: 2. What is the largest possible c in (1) if X=R² and x₁=(1,0), x₂ = (0, 1)? If X = R³ and x₁ = (1,…

A: Given: c To find: a) X=R2b) X=R3

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: Which of the clusters are the base for R ^ 4? Explain the reason. a) S = {(1,1, 0, 1), (1, 1, 1, 1),…

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Q: Question: 1) A box containing 10 yellow balls, 6 blue balls,9 green balls, and 5 red balls. A random…

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