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

Q: S(9i + 3tj + 7t k) dt. -1

A: The given integral ∫-119i+3tj+7t6kdt Integrate by taking dot product with idt, jdt, kdt

Q: Given: LM = NO; LLMO = ZNOM Prove: ΔLΜΟ-ΔΝΟM M. N.

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Q: OLet @ = (0,1)n Q = {x€ @104 x<1}. Prove that %3D 2) 2000m

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Q: Evaluate S, 5y²dV where E is the reqion below x + 3y + 6z = 9 in the first octant.

A: we need to evaluate the integration over the region using the triple integral. First we will find…

Q: Compute for the value of tanh (1 – i) Iny + 2.13i In 2 + 2.13i 2 In 5 - 4.25i 2 In v2 + 2.13i

A: To Compute: tanh-11-i Concept: 1. tanh-1z=12ln1+z-ln1-z2. lnz=lnr+iθ+2nπwhere,…

Q: Show that cl S = SU(Bd S) %3D

A: LetS⊆R, claim: closure(S)=S∪Bd S =S ∪ S' by definition bd(S) ={ x∈ℝ/x∉S° &amp; x∉(ℝ-S)°} let  x∈S∪S'…

Q: now tha 4.31) and that cov(y-ΣΣ) Σ- as in 4.32). – E,. x) = ΣΣΣ as in (4.32). %3D

A: E(y-∑yx∑xxx) = E(y)-∑yx∑xxE(x) = μy-∑yx∑xx μx AS E(y) = μy E(x)=μx ∑yx is the covariance marix…

Q: 5. Use Taylor's theorem to write down an explicit formula for R, (1). Conclude that R, (1) + 0, and…

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Q: Show that the series 3. + + 4 To t (-1) Lonverges absolutely.

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Q: Prove this! P (an) = W/ NM) [M-N (p-q)" ] 8 Npq %3D exp

A: your question is not clear i think some error in the question plz confirm it.....

Q: Verify by mathematical induction 1. 2(2i– 1)° = n²(2n² – 1) for all n21. 33 n(n+1) 2. Prove: Vn e…

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Q: у" + Зу" + Зу' +у%3D0

A: We have to solve the differential equations

Q: 19. f' "'In rdr r'In r dr

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Q: 0/ the Valke of & that makes the Velteof the fumetion 2.

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Q: Prove that L ={(1Z*)"10" | n e N}is not regular.

A: The given language: Then, the above language can be rewritten as, To prove that L is not regular.…

Q: 2, 5x .3 b) Y = In 60(х, + + X, 2. 3.

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Q: 1)z = e(4+j3) In(6230") 2) z = (-;)(* 2) z = (-)(r)"

A: (1) The  given complex equation is                                                Z=e4+j3ln6∠30°

Q: S Prove that L(cos 3t) (s²+9)

A: Given L(cos3t)

Q: o prove that knVA=| Test the seuence (ConViordív) of (10) an = (^_-) ) an 15 ら 9n: 3ntl 3n-1 (の+ (7)…

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

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

Q: To prove that dx In /1+ (In x)² + In x + C x/1+ (In x)2 we use the substitutions

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Q: Evaluate S, 5y²dV where E is the reqion below x + 3y + 6z = 9 in E the first octant.

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Q: Prove that Z(Sn) = {e} for n ≥ 3.

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Q: prove that var (XY) == 0} 03+ 2} · o3+ 13.03

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Q: Assume that |Xn] 0. (Hint: first, prove that P(|X|>c+1) = 0.)

A: Answer:

Q: Show that os fj ex* +en+ 22n+1 + (2n+1)n! 25 e*(22n+3) dx – |2 + ... 5(2!) (n+1)!

A: The given integral is ∫02ex2dx. Using Taylor series, the exponential function can be written as:…

Q: nd C such that AC=E

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Q: convcrges for all r. n! n=1 Σ 24. Show that

A: To show the series∑n=1∞rnn! is convergent for all r; ratio test can be used. Ratio test rules that…

Q: ronskian of the DE : xp(x)y' + 3y = 0 = er² et? et?

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Q: Compute 32+n21-3n n=0 If this is divergent, input "O" as your answer If applicable, submit answers…

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Q: Find e² in the form of u + jv and le²| for z = 2 + 3nj

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Q: Show that Z, dv=2010 %3D if B= 2) : -1 Śn s3, ISySY,e

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Q: If k> 0 such that k S x 8k dx = 7 then

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Q: 2) Show that L(1-x*)P",)P"mx) dx = 21(1+ 1) Sim 21 +1

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Q: a) Let Z = 7 – 13i, find: i) Im ) ii) (Re Z)?

A: Complex Numbers: The complex number is basically the combination of a real number and an imaginary…

Q: Q3/A/ Prove that ) + ",) = C). %3D إضافة ملف

A: As per our guideline we are allowed to do 1 question at a time. I think you hav already done 2…

Q: 1. Let s, =2+j8 md -, = 4+j36. Show that a. -1+- = -+- 1 -1- -2 -1 -2 = -1-2 -1 : b. C d. =2 ||

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Q: In ALMN, LN is extended through point N to point 0, mZMNO = (5x – 13)°- mZNLM = (x – 4)°, and m/LMN…

A: Solution-

Q: Find o v' (+2) dt. Show the computations that lead to your answer

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Q: dv Prove that 4u/2n

A: We use Gamma function to prove the given result.

Q: Prove that S. 8 dx √π 2

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

Q: What is the net crarop for fW={+5,05 as we qo from x=2 to X=5?

A: The given function  f(x) = x2 + 5

Q: Q2) let A = [ 1 find e4t using Gauss-Jordan method.

A: First we will find the eigenvalues and corresponding even vectors of the matrix by Gauss-jordan…

Q: B a. In the figure, if AX = (3x + 1) cm, BX = 4x - 1 cm, AY = 4x + cm, YC= 5x-1 cm and x = 2, prove…

A: SOLUTION-

Q: %3D in Fin d E(S an d Var(s)

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Q: Then show that N(A) = R(AT)+ and N(AT) = R(A)+. %3D 11-1 02-3 -1 1-2 N(A) = N(AT) =

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Q: Suppose / (s) - (÷)*" valuate: Js(x) dr +C 3- In (5)

A: Given      f(x) = 1512-3x

Q: Let A + 0 and ACB. Show that NB CNA.

A: Given :A≠∅A ⊆ B