For groups Gı and G2, determine the center of G1 × G2.

Q: Find the LCM of the given polynomial. x3 - x,  x3 - 2x2 + x,   x3 - 1

A: Given: x3-x,x3-2x2,x3-1

Q: Find r

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Q: Determine if b = 5 is in the span of vi = |2 V3 =

A: Given three vectors v1=024  , v2=14-2 , v3=-3-15. To check b=353 is in the span of v1,v2,v3. Which…

Q: Show that (p+ 9) A-g = -(p V q) Clearly indicate which rule was applied at each step.

A: we have to solve given problem:

Q: (x) = 2x - 1 and r(x) = x + 5,

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Q: Find the LCM of the given polynomial. x2 - 4,   x2 - x - 2

A: we have to find the LCM of the given Polynomial  f(x)=x2-4p(x)=x2-x-2

Q: Find the order of the given elements in the factor groups. (a) 7+ (3) in Z15/(3). (b) (3, 1) + ((1,…

A: a) we need to find the order of the element 7+<3> in ℤ15/<3> Since,…

Q: Find G.M of the following Numbers : 2,3,0,5,-6

A: Given,  2,3,0,5,-6

Q: O Find the domain of

A: As per the bartleby guidelines , for more than one part only one has to be solved. Please upload the…

Q: Let  ƒ(x) = 6x2 − 2 and g(x) = x2 − 2x + 5 to find the value. ƒ(2 - r)

A: To find: The value of f2-r. Given: The function is fx=6x2-2. Formula used: a-b2=a2+b2-2ab…

Q: List all the groups of order 91. You must justify your answer

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Q: Find the Loplace inverse For the Pollowing -10 - 10 S+8S +29 (2 8-3 5+ 3) .

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Q: Determine x so that x, 2x + 7, 10x -7 will form a G.P

A: Topic- geometric Progression In G.P ,coomon ration between consecutive terms is  same for all terms…

Q: Find the value of a for which 4 1 is in the set 2 H = span -3 4 -2 a =

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Q: Suppose G(x)=3x2+x+4. Find a number b such that G′(b)=7

A: The objective of the question is determine the value of "b".

Q: Find the domain of r(t).

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Q: What is the Roster notation for A = {y|y is a power of 3 between 0 and 100}

A: The objective of the question is find the  roster notation of the given set.

Q: In the following Caylayitable fora group G. C(2)H 2

A: G is an abelian group so that every element of G must be commutative with 2.

Q: . In the group (Z19 – {ô}, -19), Find the inverse of the following elements. 2 11 (LO

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Q: y2. lim y²-4 y-4 y-2 ソー2 lim (x2 + 3x)

A: Limits Definition Let us consider a real-valued function “f” and the real number “a”, the limit is…

Q: Explain the formula for the Hermite interpolating polynomial?

A: In any polynomial function if the values for the function is known for some data points and the…

Q: The domain and the rang -2 of the 1- Exp (- x) are

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Q: Find the elements in the alternating groups A3, and A4, respectively.

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Q: For each of the following groups, find all the conjugacy classes and write out the conjugacy class…

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Q: You and your roommate are playing your stereos at the same t

A: Given, the relationship between the number of decibels β and the intensity of a sound I in watts per…

Q: g(x)=-3/(x+17) + 29

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Q: find of the f llowing 2. 2 -5x*

A: Solution of question is written in below steps.

Q: A half-fraction 2^5-1 was chosen to be [X5]=[X1][X2][X3][X4] Set up a definition relation and use…

A: We construct half fraction of a 2(5-1) design X5 = [X1][X2][X3][X4]

Q: The V27 is between integers and

A: we know that a=a2 1=12 =12=22 =43=32=94=42=165=52=256=62=36 27 is greater than 25 27 is lesser than…

Q: Find the composition m(n(x)), where m(x) -8 !! r+11 and n(x) 11.

A: Given m(x) and n(x). To find the composition of functions.

Q: For the polynomial f(x)=x3−2x2−5x+6 what is the end behavior as  x⟶+∞ Group of answer choices…

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Q: For the pairs of integers a=40, b=148, find the gcd g and integers x and y satisfying g=ax+by.

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Q: Determine which of the following statements are true. (check all that apply) Group of answer choices…

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Q: Let G be a group and a E G be such that o(r) 20. Find the orders of r, xt, a0, al4 and r30. %3D

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Q: List all the groups of order 17. You must justify your answer.

A: Given Group of order 17

Q: determine the defining relation by hand a 2iii6-3

A: We have given that the defining relation is  2iii6-3.

Q: v(4-V) 384 for 2くんく14

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Q: Given that A'. = 2. find

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Q: Rewie the polynomial in the form ax+ bx+c and then identify the val b, and c 9x – a2 8. - - -

A: Identify the value of a,b,c

Q: Find the Loplace inverse For the Following - 10 S + 8S +29 2 (a8-35-) (2 5-38+ 7)2

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Q: The end behaviors for p(x) = (x + 8)(x + 1)² (x – 10) are:

A: We can use the concept of limit In order to solve the given problem.

Q: In the diagram, AA'B'C'is an image of AABC. Write the algebraic description for the transformation.

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Q: Do the polynomials x² + 2, 2x² – x + 1,x + 2, and x² + x + 4 span P2?

A: Solve the problem as shown below see if they are linear combination of each other and then verify,

Q: Is f(x) = x^2 + 1 a standard form or a vertex form or both? (I'm confused because it has 2 terms,…

A: Yes, fx=x2+1 is a standard form and a vertex form both. The standard form is given by fx=ax2+bx+c…

Q: 7

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Q: Find the asymptotes of:Q(x) = 2x^2−5x−12/3x^2−11x−4

A: Simplify the Q(x),

Q: find a - x2

A: It is difficult to understand the integrand. Whether it is sqrt(9-x^2) or sqrt(a-x^2).

Q: Determine the coefficient of x° in (a+x)5.

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Q: Prove the quotient rule by rewriting (A/B)' as (A*(B)^-1)'

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Q: find are to the right of z = 1.83

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