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Q: We know -that in a gDoup, ab and ba can be different. what about the order ab and ba ? cas of {t' is…

A: Let G be a group and a be an element of G. Then the smallest positive integer n such that an=e is…

Q: OProve thut it M s Noetherian, than Me is Noetherian.

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Q: & Find the'differen co o the approxcimate numbers *+:5 and 36-8 having absolute erroy o.02amd…

A: Let the approximate numbers be a=27.5 and b=35.8 with absolute errors of ∆a=0.02 and ∆b=0.03,…

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Q: is 3% For n= 7 find brufx) where baskx) %3D werght functiom for Berntein sype operetucs

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Q: Determine if in the following diagram AADB is congruent to ACDB. D A They are congruent. O They are…

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Q: Slhow that for n > 2, 1 n+1 2n k=2 Here, we write II=m ak to denote the product amam+1… an.

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Q: for Ea, , if lim a,=0 then the root test fails n = 1 Select one: O True 18 O False

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Q: What is the order of in GL2(R)?

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A: The empty set is path-connected. The above statement is  TRUE.

Q: Let, a, = 3, a2 = 4 and for n2 3, a,= 2an-1+ an-2 + n + 1, express a, in terms of n. %3D %3D %3D

A: The nth term of A.P is given by an=a+n-1d we have,  a=3,d=4-3=1an=3+n-11=2+n we get,…

Q: Let f: [a,b]-R be afunction and let c<0, then for any Ac[a,b] sup cf=c inf f

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Q: Let, a, = 3, a2= 4 and for n2 3, a,= 2an-1+ an-2, express a, in terms of n. %3D

A: we have the nth term of A.P is given by  an=a+n-1d here,  a=3, d=4-3=1an=3+n-11=2+n we get,…

Q: If AMNO = APQR then O= because of O «R because of CPCTC O AR because of SSS O 40 because of…

A: Congruency is the term which describes that two objects have same shape or size. If two triangles…

Q: Chow that ॥२ + १n + 3 (nt) (2nt3)(2nt5) (nt 4) 36

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Q: Let filN >N be defined by f(n) = Ź v(d) for all nEl din where r(R) is the number of the positive…

A: A multiplicative function on the set of natural numbers is a function T such that Tnm=T(n)T(m)…

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Q: Simplify. 4n + 3(n - 5) + 2 n + 6 13-ח 7n- 13 7n+ 6 Done Ysheed in any manner wmour epress enen…

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Q: Choose the correct definition of from below. O A. kl(n- k)! n! O B. kl(k-n)! k! c. nl(n- K) O D. (n…

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Q: How many ways Com you orenge lo buks bokishelfthat fhes Apace for that has space for only on a 5…

A: This is the problem of permutation and combination. So, there are 5 places for 10 books on the…

Q: Find a counterexample to show that the statement is Falso- Q. (x+)(R-1) のFor all numlbers X.-メくメ %3D…

A: Part (a) -x&lt;xTake x=-1--1≮-11≮-1 Therefore, the given statement is not true for all values of x.

Q: Answer the following multiple-choice. awestion below algebra #14, A is a 3x3 matnx. The soutuns to…

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Q: Which quantification proves a nonnegative number minus a negative number is positive? A Vxay(x 0) ^…

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Q: Osrc> lete he Riemen th four sclbinenals ight entpaints sum for f(r) - ( -r? Osr6> , taking tHe…

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Q: Given that 70=(등+(2a+4)%, 들 -8t ) is not smooth on R. Then, a = O -3 O 3 O 2 O -2 O 33

A: To Determine :-  Value of a. Given :-  The given  r→t =  t22 +  2a +4t , t33 - t2 , t44 - 8t is not…

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Q: Find formulas for A(x) and B(x) valid on [4,7]. (Use symbolic notation and fractions where neec

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Q: It S, ving R is a subuing of , and S, is subning of ving Re sulbring of ning a show that SixS, is…

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Q: Express x = In(t), y = 8 – 3t in the form y = f(x). (Use symbolic notation and fractions where…

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Q: Given the equaition 4x-12y=20 a.) Write a set of paametic cqyatan to olescnbe a paint miving aling…

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Q: Complete ecen ouanticatic eaqucation. parts a-c for Clutingihe Lasle LF tme aiscrimincand. a…

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Q: The pair of trangles below have two corresponding parts marked as congruent. What addtional…

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Q: Ife = whare r and y are real mmbers and x> 0, what is the vahue of y in terms of r? O In (2r) O…

A: given that                                                  ey=12x, x&gt;0 we have to find y in…

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A: Given differential equation is  d2ydt2=t+cost               1 Initial conditions are y0=1,  y'0=2…

Q: polyhomial iS equivalent t0 2n + 5)²? O 4n? + 25 O -4n? + 25 O 4n? - 20m + 25 O -4n? - 20n + 25

A: Given,  A polynomial  -2n+52  We have to find the polynomial equivalent to -2n+52

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Q: If z < o when -0, then 2 is one of the even numbers that is an odd number. O True

A: NOTE- AS  WE ARE ALLOWED TO ANSWER ONE QUESTION IN ONE SESSION SO, I HAVE ANSWERED FIRST QUESTION…

Q: Identify the indicated submatrix. [o 1 -9|-5 A = 9 -1 0 7. Find A12. 25 -7 0 Select one: O B[ 9] O…

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Q: Considering only the values of a and ß for which sec asec Bcos (a – B) is defined, which of the…

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A: First convert into simplest form and then check for discontinuity by finding left and right limits…

Q: O solue the following Set of tao equitions by Gramer's mle med by A 2メ」+3Xz = 8 X, - Xz - 1 %3D

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Q: A store sells cat toys for $3 and $5. A kennel owner wants to spend at least $15 but no more than…

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Q: If is a non-negative measüráble functic sa real number then Sa fx)dx = 1 Sf(x)dx E %3D

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Sequence and Series

A sequence is defined as a collection of things. Series is defined to sum the things one by one in the sequence.  It was invented by German mathematician Carl Friedrich Gauss.