ntial Ques on less tha nber divid

Q: 11 Prove that

A: Laplace Transformation: Given a function Ft defined for all real t≥0, the Laplace transform of Ft is…

Q: Whenever n is a pOsitiv integer (n > 1). (15 points) %3D

A: Follow the procedure given below.

Q: D prove tHhat kin

A: " Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: 1 of 2 0.005 0.0025 0.025 0.001 -/1 IND O

A:

Q: Prove dis prove that the or smallest non- commutative ving is of order 4-

A:

Q: Is given in th

A: The most repeating games used by the researchers that can be played quickly. It is discovered that…

Q: 7n + 129 = 45 7n + 45 = 129 %3D 7n 129 = 45 O 7n 7n - 45 129

A: # we are entitled to solve one question at a time , please resubmit the other question if you wish…

Q: What is thie generalized union and in tersiection of where ^. positive integers

A:

Q: Decide whether the following not proposition îs true ; " There exists no positive întegers ^ Such…

A:

Q: 3. From Fermat's theorem deduce that, for any integer n 20, 13| 1112+6 + 1.

A:

Q: 2. Show that In (- - ) = ( + 2nn)i where n = | .... .... ..

A: Consider the following expression: x=ln-12-32iex=-12-32icosx+isinx=-12-32i

Q: Proe the tollowing Statement . Fa dyer n22, n'3 is. never dinsible by 4. any thint. comosder h as…

A:

Q: Let X: Uc4) out of st andard er dere d uniferm

A: From the given information, X=U4 out of 8 standard ordered uniform and Y=U5out of 8 standard ordered…

Q: -, first prove that )" 6.

A:

Q: c) Prove that if X and Y are eauivetonee eanclasses of the either ald paid of XxY are inci dent N…

A: Given: X and Y are equivalence classes of ~. To Prove: Either all pairs of X×Y is either incident or…

Q: Q/show the Converg ence or the divelgence of the follo owing Series: Sinn 2.

A:

Q: If In elnx - = In (x – 4) = In2, then x %3D

A:

Q: (b) Evaluate de using Simpson's one third rule with 6 intervals.

A: Given-             ∫031x3+4dx. Evaluate Using Simpson's one third rule with 6 intervals.

Q: Theorem 3: Ifconverges to l, ther any subsequence ofalso comverges to l.

A: We have given that sn converges to l. Let snk be any subsequence of sn. We need to prove that snk…

Q: 2. Prove that |µ(n)| _ S(s) S(2s) n=1 if s > 1.

A: Riemann zeta function is a complex-valued function defined as ςs=∑n=1∞1ns.  There is a relationship…

Q: Q prove that for ony natural number n,2+4 +2n=1/n+1) %3D

A: The solution is given below.

Q: (금) a1/ Prove that cothx in ()

A: Note:-     as per our guidelines we are supposed to answer only one question. Kindly repost other…

Q: Prove that the Ving of ComPelX numbers C¢,+.)is fielol

A: Solution is given as below:

Q: L-provebymatchematicalinduction that れーk .........

A: Thanks for the question :)And your upvote will be really appreciable ;)

Q: 23. Find de V100- tan O coton 2 Opbon 1

A: We have the given integral as ∫dx100-9x2 On solving the given integral furthermore, we get the…

Q: Prove bey wnduc hiou that for n22.

A:

Q: Prove that the nth Fibonacci number fn≤αn−1, where α is the golden ratio.

A:

Q: 6. Prove that ER, # 0.

A:

Q: Evaluate: 5 tan (z) dz =. O 5tan(z) – z +C O 5cot(z) – 5z +C O 5tan(z) – 5+C O 5 tan(z) – 5z+C O - 5…

A: Given: I=∫5tan2xdx We know that 1+tan2x=sec2x…

Q: 1 ient of in al</z] <2 is

A:

Q: Least residue of 45^37 mod 19 when using Fermats Little Theorem

A:

Q: ) that Prnve Seck -1

A: Dear student as per our rule in one session we can only solve one question. Please post the other…

Q: Prove the following tautologies by starting with the left side and finding a series of equivalent…

A: Consider the provided question, We have to prove the given tautologies. (a)

Q: 2. Show that (i) tan 48° tan 23° tan 42° tan67° =1

A:

Q: Company decided i clentidul Computers amongite to distoibute ito employees m how many different cun…

A: From the given information, Total computers to distribute among the employees = 5 Total number of…

Q: EX Find theno of letter strings of length H that contain the letter y exactly 3-himes and contain…

A: Total number of letters = 26 Letter y can occur only thrice. Letters m,b,t,k can occur only once.…

Q: 13 is discret coply on asetR Shotr the t Ris dines th Ror not

A:

Q: 17. prove that Edln H(n/d)7 and σ(n ) σ(n) Σ %3D

A:

Q: X Оп = 0 = 0.7853 = 1.5707 3 л = 2.3561 4 n = 3.1416 1 4 л 2 f(x)= sen (2x) f(0п) = sen(2x0) = 0…

A:

Q: 5.) For nzIiecove that teger 1prove 'Dirision Algarithme ncntl) (2ntl16 is an in integer Use the

A: To prove that, for n≥1, nn+1(2n+1)6 is an integer

Q: bea 4 saquence of iid Cuntinmeus dis tribntion r.v. Let N=min {n: AこX,2め2..こメのー/ta < Xng. Find ELN]…

A:

Q: OFind the sohution of the intial Value plablem ty'=y+3Vy312, yle)=0 B) nune.ofithe given arswes

A:

Q: Let n ∈ Z, Is it true 4 | n4 – n? Prove it or counterexample.

A:

Q: 22/Prove thet Ris aferfect cface

A:

Q: Find all Hy reer digit numbers with diteterent digite sucu that tyose Hyree digit aumbere au…

A:

Q: Proe the tollowing Stadement . Fa any indyu n2 thint. conosder n'} is lay never dinsible 4. h as odd…

A: We will prove the given statement by taking two cases

Q: If Sen(x)=-0.6 and x is in III cuadrant. Calculate: a)Sen(3x)

A:

Q: if N=xYフ。 Prove tha+ xx

A:

Q: {(1-2))_ in n=1

A:

Q: 7 Write the quackatie fundion anose nertex b (-2,5) and wise 4-int is -1 in Staniald foron

A: The quadratic function has vertex -2,-5 and whose y-intercept is -1