DeMorgan's theorem states that Select one: a. (A + B)' = A' * B b. (AB)' = A' + B' c. A' + B' = A'B' d. (AB)' = A' + B

Q: mly collect the dat

A: Null hypothesis(H0): Reasons are not significantly relegated to the type of worker   Alternative…

Q: Find diagonal matriy D is similar with A a A = [3 8-5

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Q: Prove fulay's formule -CstD)4isin LO)

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Q: (7) In general, (SOT)CSnT.But, (SnT) + SnŤ.

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Q: Prove Taylor's theorem.

A: The objective is to prove Taylor's theorem. According to Taylor's theorem we have, If fx be a…

Q: Grien V=In (xity?) show that dye

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Q: Let x = {1,2, 3, 4} and P= { {},{2,3} , {43} - っ- %3D nd

A: X=1,2,3,4P=1,2,3,4

Q: Hiw- prove that %3D

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Q: cosulen Dhe probubily densty functren OTherwise which randen werclde Xfellews Find pobebility Tht

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Q: Suppose you are given four natural numbers w, x, y,z e N such that w>x and y > z. Show that ly – w|…

A: It is given that w, x, y, z are natural numbers such that w>x and y>z. Now we want to show…

Q: A. Homo ge neous Higher Ordered DE (0-704 - 310° ° + 103o² 1030² + 1500 - 216) y:0

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Q: Prove az - ae that d az dz

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Q: prove that div A マ - Kr

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

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Q: 2. Find the desivative ofy= Binx

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Q: Prove that MSE(Ô) :

A: Consider, MSEθ^=Eθ^-θ2 Here, θ is parameter and θ^ is an estimator              =Eθ^-Eθ^+Eθ^-θ2 add…

Q: An electromagnetic wave does require a medium to travel. O True O False

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Q: Show that |1 - (x, + x,) - (x, + x,) X,*z = (x, – ,) (x, – y2) (x2- ,)(x2 - 2) 1 -(), + x2) 1 - (y,+…

A: See the attachment

Q: Prove %3D 11

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Q: Evaluate using cauchy's Residue Evaliate theorem.

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Q: Q: Prove that tim %3D

A: We have to prove the limit

Q: Differentiate y = laz az-1 In r Option 2 None of these 2n In z Option 3 Option 1 2ln-1 In z

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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: Sketch ler=qcose

A: The given curve is  1-r2=9cos(θ)

Q: let (RiZ) be the usual top on et B-1 ineN] Find B.

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Q: =8, d=9 ation u such that (a, b, c, d) = p

A: The value of a, b, c and d are given as follows, a=5, b=13,c=8,d=9. To find the permutation μ, such…

Q: see the equation as attached here

A: Solution:Given    0<an≤bn and∑n=1∞an divergesTo prove:∑n=1∞bn diverges

Q: 6) Prove mathematically that (1 grad = 0.9 deg) %3D

A: Since, this is a multiple question according to the Bartleby Answering rule, only first question is…

Q: Show that is Reciz) e -ImZ p (ii) Im(iz) = Relz). %3D

A: Solution:- we have to show that  (1)    Re(iZ) = - ImZ (2)    Im(iZ) = Re(Z) where , Z = x + iy

Q: Use linearization to approximate In(1.2).

A: we can use the following formula for approximate calculations: f(x)≈L(x)=f(a)+f′(a)(x−a). where the…

Q: State Green’s Theorem

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Q: (b) State Heine-Borel Theorem.

A: (Heine-Borel Theorem). A subset A of R is compact if and only if A is bounded and closed (with…

Q: What is Rolles Theorem and how do you find "c"?

A: What is Rolle’s Theorem and how do you find c

Q: Find ſ using residues.

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Q: prove: sE121y |Re(z)+| Imcz)l

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Q: 23. -(-Cnd)→e -evd dz

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Q: (a, 0) is not measurable.

A: In this question, we check the given set is measurable or not. here we use the condition of Lebesgue…

Q: 24. Find the Fowrier r fas - -IN X

A: Hv

Q: to itself. Show all your work to recei

A: given as,

Q: Proved that cosh fas/ (cashZ+L)

A: To prove :  cosh2z2 = 12cosh (z) + 1

Q: 2 la), Pu (aw by Re currence relation

A: We have to find out P2(x) and P4(x) by recurrence relation. We know that the generating function…

Q: -64- Eke n Calcul afe th udlue of Z.Z ?

A: according to company rule we answer only first question and rest can be reposted.

Q: Prove that S. 8 dx √π 2

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

Q: Why is it called the sandwich theorem?

A: If we have three sequences fn,gn, and hn and limn→∞fn=L=limn→∞hn then limn→∞gn=L.

Q: ion Prove that for

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Q: Find leng th of the Cardioid Vsa6 from e -oto0 - 1 %3D

A: Use the formula of the length of the polar curve. L=∫0πr2+drdθ2dθ Here, r=aθ3 and drdθ=ddθ(aθ3)=3aθ2…

Q: find inmporopor integreal STæra o dze

A: To solve the improper integral

Q: nly.

A: Given equation is :  -√3 sin(x) + cos(x)

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: Prove that 1- cosh -1 x= In(x+ Vx- -1 1 x+1 2- coth -In x-1 X = - Vi+x? .2 1 3- csch -1 x = In(-+

A: