9) For the sequeace 0,2,4,6,• Calculate Soo.

Q: that Sup antl Shaw SA thut inf

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Q: If p = (u, v, w), show that Ipl < lu + |e| + |w미 а. b. Ju| < \pl, \v] < \pl; |w| < \pl.

A: (A) (|u|+|v|+|w|)2 = |u|2 + |v|2 + |w|2 + 2|u||v| + 2|v||w| + 2|w||u|…

Q: 5) convert the Following higher Lin earDE to system af other liner DE ? Y(4) - Eyl3).

A: Given differential equation is

Q: 2. If AC = 32, h = 19 and C = 41°, find ZABD.

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Q: 00 and bi liz =1 ニ 1 1 4 3 3 こ 16 16 Findd acu) and ce) with syodem of recucrens sceladianships)

A: the generating functions a(x) and b(x) with system of recurrent relationships

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Q: The points (4, 5, 2), (1, 7, 3) and (2, 4, 5) are vertices of alan h O Equilateral Triangle O…

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Q: Which of the illustrations below corectly shows the assembled house?

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Q: a, bez show that 19-612 lal-lb/

A: Note: We have the triangle inequality of real numbers as  |x+y| &lt;= |x| + |y| for any two real…

Q: 2. Given: Circle Q in which mÃB: mBC:mCA = 2:3:4 Find: mАB, твС, тCА, тL1, mz2, mL3, mz4, mz5, mz6…

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Q: 3. Prow tt 1리 + 20+ 2, | 스 12+121+ 121 with graphical rpresentadin.

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Q: How many triangles can be drawn on a palne using 8 non- collinear points?

A: Given:  How many triangles can be drawn on a palne using 8 non- collinear points?

Q: find tue fuirel degree 18 maclaunh polynouial for the fuchie (2x-1)?

A:

Q: explain these results in APA 7e give as many detail as posible Boxplot-Incongruent Condition 35- 15…

A: From the given output of Boxplot We interpret the outcome.

Q: Does {(1,2), (–2, –4), (3, 6)} span R??

A:

Q: 2. what ic the nth -term Tormul a For this (equen ce 2, 6, 12, 20 30, 42 ?

A: Given that  We have to find nth term formula for the given sequence :  2, 6, 12, 20, 30, 42.....

Q: Find the of me circie eauation endpoints of a dlameter are p (-1,1) and o(5,9)

A: Putting the formula of cicle we have

Q: Prove or Disprove: Va, b, c E N, if a | bc and c| ab then b lac. (Here | denotes divides.)

A: We will disprove the given statement by giving a counter example that is we will give values for a…

Q: Prove the following is a Pythagorean Triple: (5, 12, 13)

A: Given, (5, 12, 13) To Prove: Given set of numbers is a Pythagorean Triple.

Q: 7.) Consider the smallest individual cubes and assume all stacks are solid. Determine the number of…

A: Consider the first figure, the length is 6 cubes, width is 2 cubes and height is 2 cubes. Total…

Q: 4. Consider A={m,a,t,h}; C={x:x=3n,1šns4,neN}; B={s,t,e,m} ; D={x:x=2n,15n 56,nEN} What is CUD? *

A: Here given that                         A={m, a, t, h}                         C={x:x=3n, 1≤n≤4,…

Q: 9. If O is the origin, then R, • Ro. 90 : ( – 2, 5) → (?..

A: Given, O is the origin of coordinate axes. To find the rotation around origin about 90 degrees. The…

Q: A occtor 60 Trad 0 = 60 1.05 Asector =( (1,07) (1.07) 2. 21.73- A miongle = .94 =4,22 = Agector -…

A: This question is based on circle menstruation.

Q: Derive the eauation of the natu Val cu bic TnterPolat ing sPline for the falowlhg (1,!) , (2,1),…

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Q: If p = (u, v, w), show that Ipl < lul + |미 + |wl а. b. Ju| < \pl, ]v] < \pl, ]w] < \pl.

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Q: a) Comider the word "colla boration ". al How many distinet neamengemente q the bitten cre there ? 9…

A: To find the total number of arrangements of the letters in the word  (a) collaboration (b) collar

Q: If MZTSV= 38°, MLUSW= 40°, and mZTSW=61° find mZUSV.

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Q: In the accompanying diagram of circle O, AB and BC are chords and mLAOC = 96. What is MLABC? In the…

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Q: the of coplex nurburt Deseribe and give 13 set %3D 2+14

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Q: Derive k, kkg and ky fourth order Runge Kutta methed-

A: Range Kutta

Q: Prove: Va,b,ce Z, if a|b and a|c then a|(b-c)

A: ab  &amp;  ac This means that b &amp; c are multiples of a. ⇒b=a·k  &amp;  c=a·m     where k, m∈Z

Q: A. Compute for the sum of interior angles of the following polygons. 1. Undecagon 2. 17-gon 3.…

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Q: Evaluate by interpreting in terms of areas: 64 – z? =) dz 4+

A: evaluate the following

Q: Compute è, and eu based on sit) = う 6stく) tンlo

A: Given  St=1         t&lt;623    6≤t&lt;749    7≤t≤10 0         t≥10

Q: Prove the following is a Pythagorean Triple: (16, 30, 34)

A:

Q: Sort these cards into 2 collections of 4 with one card left over. If 2 congruent segments are added…

A: If 2 congruent segments are added to two congruent segments, then the totals are congruent. That is,…

Q: If X, then Y. If Y, then Z, y is true, So:

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Q: LetZ:Nlo,1), Find p(IZI>-I |121< 2)

A: Given Z~N0,1

Q: Convert the rectanyular conndihates of the given poIAE a phengul corelihates (5,2,7)

A: Changing the coordinates we have

Q: А — {а, с, е, һ, i, m} B = {a, b, d, f, h, j} |3| AUB = { } AN B = { (AN B)° = { }

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Q: Determine the interrr Con vergence for Hhe Suries pelguamik in { polymomich in .o], Bl [-t,o], C)

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Q: If "C,, = "C, then n is equal to 4.

A: Hello. Since your question has multiple parts, we will solve first question for you. If you want…

Q: (N, +, .) (R, +, .) (Z, +, .) (Z7, +, .)

A: As per the company rule, we are supposed to solve the first three subparts of a multi-part problems,…

Q: O A planar triangulation is constructed from a planar graph, and adding edges without edge…

A: We will be solving Q.2 as mentioned. A planar triangulation is constructed from a planar graph and…

Q: 4. If mZROS = 57° and ZROT = 165° , what is MZPOT. R. 57°

A:

Q: The point on the directed line segment from (2,0) to (14,12) that divides the segment in the ratio…

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Q: +7, 2. ylgn O İhi O

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Q: Compute the first 5 Legendre polynomi als , ..., L, (x), (These Solutions, P,x) , where n is a whole…

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Q: 2. If (x, y) is a sa

A: As per the guidelines, we are supposed to solve one question. Kindly repost the other question as a…

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.