(금) a1/ Prove that cothx in ()

Q: EX/ show that im Cosy-1

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

Q: Prove that neQ

A: Given ddxxn=nxn-1

Q: Howin If Z=RCxy) and u=xayg V=x-y show that 3

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Q: prov

A: we have to prove ,  (xx)x=x(xx)

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

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Q: Construct a proof that ZEIF = ZGIH. н

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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: Prove that S3 = Inn(S3) = Aut(S3).

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Q: Hiw- prove that %3D

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Q: Prove that.

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Q: Let feC-2,2], fo-o. Prove that Max -2

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Q: Prove using the IVT,  √2 exists.

A: To prove using IVT, 2 exists.

Q: gion enclosed by y

A:

Q: Prove az - ae that d az dz

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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

A:

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: Prove %3D 11

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Q: 2), Compute SE. di where Fュく-,) C is s shown

A: The general form of a vector valued function in three dimensions is given by F→=F1,F2, where F1 and…

Q: 81/ show that *if ve(Xジーズ) oif v=(

A:

Q: defined by ф Kerф %3D (1,-1] Kerø = {i,-i} Kero = {i,1} Kerф %3D (1,-1,1, -)

A: Option (d) is correct.

Q: Evaluate using cauchy's Residue Evaliate theorem.

A:

Q: Prove inf { ñt nEN}= %3D

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

Q: 6. If u=,%) prove that xu, + yu, + zu, = 0

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Q: 2. Show that 1 2 = (1 - )( - )(? y)

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Q: Hew.b prove that CAXB)-Ais atways-Zero

A: Topic:- vector  algebra

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

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Q: bounded by + 22 %3D

A: z>0z=x2+y2z=1-x2-y2Intersection;x2+y2=1-x2-y2x2+y2=1-x2-y22x2+2y2=1x2+y2=12x2+y2=(12)2;  circle…

Q: Prove tuat fsecodo-On/sece + tanco

A:

Q: Prove that ∆ + ∇ =∆/∇ −∇/∆

A: We have to prove that ∆+∇=∆∇-∇∆

Q: 2. Prove ΣΫ; = Y 3 Prono ΓΥΠ |

A: Let X be a Random variable with a Probability density function or probability mass function f(x)…

Q: 3. Show that Z, -

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Q: az Q.7 If z(x + y) = x2 + y?, show that lax = 4 ду. - +(1 - ax ду.

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Q: 4. Prove that, VR, -11-

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Q: (4). Show that of X~UCO,!) as Y=-n-X)~ txponenkalla),

A: i) Uniform distribution : If X follows Uniform distribution over interval (a, b ) then cumulative…

Q: Prove that Z(D,) # {1} if and only if 2|n (hint: if 2|n look at ri).

A: Let us suppose, Dn=e,r,r2,..,n-1,f,rf,..,rn-1f and nis divided  by 2. Then, n2 is a integer. We see…

Q: A postulate can be proven to be true using mathematical rules. O True O False

A: True.

Q: 3. Prove that: na” u[n] = az (a-z)2

A:

Q: to itself. Show all your work to recei

A: given as,

Q: Prove: 4 x,,x2x, ER, then |x, +x, +.. + x,| s |x,|+|x,|+... + |x,|

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Q: Consider the folowing diforential eguaion %3D Solve the diffirential rquation

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Q: A prove that Newboń's for ward formal?

A: Note: Since you are asking the prove for Newton's forward interpolation, but the given formula is…

Q: Prove that commutativity hol

A: Let x,y∈V and  x=(x1,x2,x3,......xn-1,xn)        &       y=(y1,y2,y3,......yn-1,yn) Then we need…

Q: Prove that: • sin z =-i In (iz± Ji-z2) ban 근 =

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Q: Prove: |I| = 1. %3D

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Q: For what values of aand b is {u, v} an orthonormal set?

A: A set of vectors form an orthonormal set if all the vectors in the set are mutually orthogonal and…

Power Operation

Power operation is topic of algebra in Math. It is use to represent repeated multiplication. Very big number and very small number can be easily express using power operation. Power operation is useful in many fields. In space engineering, it helps in representing the distance or size of particular heavenly body. In medical field, it is used to represent very small size. In medical field it helps to mention size of bacteria or virus. 

Exponents

The exponent or power or index of a variable/number is the number of times that variable/number is multiplied by itself.