prove tらット IF Sequeree divergent to is THEN is boumdad below. the thif every conveng ent Sequenca i's i's Use bounded assist.

Q: 3. Evaluate the line integral for fxzds on the line segment from (3, 2, 6) to (7, 9, 10)

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Q: 5) Find tue soletion of the differen tiel equation dr Sec't which paffes dt fant +1 turough the…

A: Solve the differential equation by separation of variables.

Q: EXample (H-): let XaulY ae C.g. VS waith joint. →くKく4 <s Findd the Valueofe. @ Fined pCicXくて→2くりく3)…

A: The integration of joint density function over entire domain is equal to 1. That is…

Q: Not sure how find these

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Q: Theorem 23. If u, v E Q then we can find integers a, b, d with d > 0 such that u = a and v = d'…

A: By Division Algorithm we know that,               Let a, b be two integers with b&gt;0. Then there…

Q: 4 Given fax) = 3 Caloulate flA) with domain (2,'e

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Q: 8-1) Assume that two surfaces to create a curve : 炉 x² + x²-x²3² = -7 are intersectiong 3x₁² + x₂ +…

A: Introduction: In three dimensional Euclidean geometry, the directional derivative of a surface is…

Q: 4. a) Prove that A i) V=I I+A 1+A ¡¡) fx+nh = Σx=0 (7) 4¹ fx.

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Q: Calculete Je by integlat: to 12+-3)dt Letter S, ot number 5 -st thenz 3.

A: Calculate integration by part in the following way:

Q: 5. Wohat is the time complysily of the flloing Tecurence latian Te) - 8T4) + QL) , { f n² >rl M (거 à…

A: Given,  Tn=8Tn/2+⊝1, if n2&gt;MM, if n2≤M where M is independent of n.

Q: Let fca) satis fies Cauchy Riemann Eguation , then (f(z)" is also satis fies cauchy Riemann Eguation…

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Q: Use a proof by contradiction to prome that integer ond 3n+z then

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Q: A new flag pole for a school campus measured 25 2/3 feet. It was put 4 1/2 feet into the ground and…

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Q: Given that w = f (u, v) And u = xz. , V = dw = X az aw aw Prove that Z - ду

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Q: 30) Find all poin ts (if eny) at honzendal and Verticel fongancy :::: to tul unne Anyw ans: a)…

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Q: n topulogical manikuld - show that Mis locally compact 6

A: This is a problem of differential geometry.

Q: 6.1 let T be a l'iner transformatio from Mga into M,a Sub that %3D

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Q: 1う× ) did Fis erimitive af F af F 2) did p is integrable

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Q: 7)Debermine whether the inkegra) is covergant. Pivergank If its convergant, evaluate it.

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Q: Coshlutv)= Coshucoshv+ Sinhu Sinhk

A: we will use sinh(u)=eu-e-u2    &amp;   cosh(u)=eu+e-u2

Q: 12 Let (RTR) is topological Space Such that TR-243 U2GSR=R-G-G is finste} Find buz), Z², Z. z' then…

A: Here given ℝ, Tℝ is a topological space such that Tℝ=ϕ∪G⊂ℝ: ℝ-G=Gc is finite This topology is known…

Q: どタ -e -at u Ct) = (a +jwjñ+!

A: To prove that tne-atut↔n!a+jwn+1 It is known that  ut=1 , t&gt;0=0, t&lt;0 Therefore,…

Q: XG);t waSin (e

A: The equation of X(t) = t2 – 2t and W(x) is given, now find the derivative of W (X) with respect of X…

Q: 32²+2 (2-1) (2²+9) I: zp

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Q: lemma: let f X→2, cont. J I' yCY with Subspace topalagy and then Fly :Y-→ (restrection of Ĥ to Y)…

A: Result: is continuous iff and only if f-1(V) is open in X whenever V is open in Z. Given:  is…

Q: Let I^Ncrip)and qnG6) be cudop endant 5how tuat X1y~NB(t!,.

A: Given information: Given that the random variable X follows negative binomial distribution with…

Q: 19) fiud eq uilibrium Point for the demond arol Supplie fumetion of Dq = - 1.259+ 475 and S) =…

A: Given D(q) = -1. 25q + 475 S(q) = -1. 125q + 266 For Equilibrium, D(q) = S(q)  0.125q = 209 q = 1672

Q: if 2= とonと final dž Point C,1) In

A: Note: We will answer the first question since the exact one is not specified. Please submit a new…

Q: If C, C2 Cn are Constovts 1-1 . a,, uzXz) ---- Un (X)ave livffen antiable 4111 funetions at x with…

A: Introduction: The differentiation of a function y=fx is defined as f'x=limh→∞fx+h-fxh This is…

Q: @ Let A -a Find Cenditiens on a,b.c and d that AX =o has infailely many Solution. what must there…

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Q: 2. If f(x,y)= te Vy of=D0 then show) that 49 c) of af =0 dxay

A: Consider the given function. fx,y=1yex-y24y (i) First, we have to show that ∂2f∂x2-∂f∂y=0. First,…

Q: the integret fector of the bifferentiel e qration →き x28x he is 2. O Not found

A: Consider the given differential equation xdy-ydx=x2y3dx and rewrite it again by doing…

Q: Let C be the line segment from point (0, 1, 1) to point (2, 2, 3). Evaluate line integral yds. C

A: To evaluate the line integral

Q: (9) Ur = = UF'(A)) and that f Prove that f-1 (μη) = - U ΜΑ»). ΑΕΛ

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Q: Theorem. (Distributivity: HAV (BAC) = (A v B) ^ (A V C) HA A (B VC) = (A AB) V (A VC) V over ^ and ^…

A: In this solution we will prove the distributive of ∨ over ∧ and distributive of ∧ over ∨. The given…