For all NEZ, itn is odd and a?tb' for same adbt s", thenn mad 4=1.

Q: EX/ show that im Cosy-1

A: Given limit is : limy→0cosy-1y To prove  limy→0cosy-1y=0 Use the trigonometry formula,…

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Q: - 21 , Prove that + (n? m' ) yn=o 2.

A: According to the Leibnitz theorem, dndxn(uv)=C0nunv0+C1nun-1v1+C2nun-2v2+... Formulae used:…

Q: Show that for A symmetric inf. = Amin(A).

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Q: 3.) Prove (cA)" = cCA) %3D

A: Let A be a m×n matrix so A=(aij)  1≤i≤m and 1≤j≤n ie A has m rows and n columns. By AT we mean…

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Q: Express In V16 in terms of In 2 and/or In In 16 =[ (Type an exact answer.)

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Q: В. Prove that A ERT ~ ASKY by SSS Similarity theorem. Statements Reasons 3 4 By Computation 15 %3D 4…

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Q: Which of the ing moion can be nduced to be asepehle gation y--1da + de = 0 Oa Ony Oh Orly Cc Orly…

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Q: fired supremum of As 3n +2 Inew y. 2nt/ Prove your arswer

A: This problem is based on finding the supremum.

Q: 2. fow く2 <a 30 20 Prove thot 大2 %3D n 21

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Q: Prove both sides equal πU (PN ₂) = (π Up) N (π UV).

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Q: - Justify the last two steps of the proof. Given: RS UT and RT US Prove: ARST AUTS

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Q: - check the exi's tence of limol of the Lunetiom 41n at X= 1 %3D 2X+/ こ Xラ-3

A: To check: The existence of the limit of the function. Given: The function is fx=2x+1     -1≤x≤1x22-3…

Q: Prove that %3D 3 and hence. deduce that. 3--(n+3)Jn43+ (n+s)Jnes to 2.

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Q: V218 in 7 in 13 in No, the relationship of the sides DOES NOT follow Pythagorean Theorem No, the…

A: Using Pythagorean theorem,

Q: if JERLA.b] and it hex)- J(x). except for finite mumber of Paint in Cab] then that he Rlab] prove.…

A: if g ∈R[a,b] and if h(x) = g(x) except for a finite number of points in [a,b] then prove that h…

Q: for n>2, 5 . Deermine for whpch n, n2-2 let |anlく,

A: Given  an = 5nn2-2

Q: Prove inf { ñt nEN}= %3D

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

Q: dy If then de impossible to calculate O In(æ)

A: 7.  slope of tangent line  slope at point ( 4 ,2 )

Q: 1. If PR = 25, QR = 6 and NR = 10, find MR. %3D %3D 2. If MR = 12, NR = 9 and PR =3 QR, find PR. %3D

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Q: If delta is large according to Cohen's classificantion, then the difference between u1 and u0 is…

A: Given that - If delta is large according to Cohen's classificantion, then the difference between u1…

Q: Ex: @ write out the expessien R(n=4) jki in full. wuich aue free and which ane dummy indices ?…

A: We write expression of curvature Tensor

Q: Verify S Tokes' Theorem To 2.

A: Introduction: We know that stoke's theorem is given by the formula, ∮CF.dr=∬s2∇×F·n.dσ

Q: iiion 125 correct to three

A: To find the approximation of (25)^1/3

Q: Show that yn ez, if n³+5 is odd then n is even For the toolbar, press ALT+F10 (PC) or ALT+FN+F10…

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Q: If tanh '() = 1- 12/3, then z = %3D In + 종 In O In In

A: As per the question we have to solve the complex equation and find the exact value of the complex…

Q: Use Lemma 5.4.3 to find RT if RS 6 and VR = 4.

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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: -Calculate the Four ier Serie for, fuay =0, -2saso %3D 2 n, Ond plat the fe-

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Q: FOR N=195, by fermat's theorem an-2 =

A: Given: FOR N=195, by Fermat's theorem an-2

Q: 3) Prove There exists a real nubrsSo Surh thot

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Q: cos (o,+ O>)+ ì s:in (8,+Ə.)) Prove this kW- Mon 183O

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Q: w on ƏN and cos (|Du[²))ui + u(|Du|³ + 1) < –(2- :- cos (|Dw[?))wii+ w(|Dw|3 + 1) i=1 en u < w on…

A: Sol

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: If the mth term of an AP be 1/n .And nth term be 1/m.then show that it's (mn)th term is 1

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Q: For xn = 5n² + 9n³ + 1, an = en = n², prove or disprove: an = O(an) (n → 0)?

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Q: 2. Find the exact \ength af the following curvis

A: Arc length L=∫ab1+dxdy2dy

Q: Evaluate tne below exprassion using De Moivres meorem-

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Q: and are 2 soihions and w Cy,,Y2)(to)to what con conclude ? we

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Q: Prove that S. 8 dx √π 2

A: This question is related to integration using gamma function.

Q: 12) a-:]- B-[:: ind AR 3 0 3 -2 1 Find AB. %3D -2 1 0 4-3

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Q: 9 show Itat Ihe maclayvin Sevies For Hense is メ+ メ t.. 4- X

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Q: 5|8" – 3", Vn EN

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Q: sed on the slot machine shown to the right, in how many ways can we obtain bars on all three whe…

A: The following solution is provided below :

Q: By 2 Cas X the Same. way prove that

A: Prove that J-12x=2πx cosx

Q: what expressi on is equivaient to this. (n-a)!

A: n!(n-2)!+n=n×(n-1)×(n-2)!(n-2)!+n  [we use the idea of factorial]=n(n-1)+n=n2-n+n  [distribute n]=n2

Q: what Reasow: Complete the proof that AHIK = AGJK. I HI I HJ GNew Givew Given K 26全CH Z GkJ Î CHKI ?…

A: angle G = angle H ( right angled angle) angle GKJ = angle HKI ( vertically opposite angle)…