3. ncnt) use PMI to prove that E

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

A:

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° & x∉(ℝ-S)°} let  x∈S∪S'…

Q: Prove the following version of Darboux's Th

A: To prove the Darboux's theorem:

Q: Hiw- prove that %3D

A:

Q: Prove thiat dx Ś (areten()) ) = し 4+X

A:

Q: If Z= cos20+isin 20 prove that = sec² 0 %3D (Z +1)

A: We have to prove L.H.S = R.H.S

Q: cond, and third prizes be drawn from a box containing 120 names?

A: A box containing 120 names 3 prizes be drawn

Q: Functional theory and functional analysis

A: According to the given information it is required to prove that:

Q: 3- Vn n=1

A:

Q: Show that (hcs) de = 1 In 27 e %3D 2. 20 (ite")(2 + 1)

A: To show: ∫0ln 2e2x1+ex2ex+1dx=12ln2720. Concept used: Integration of ∫1vdv is equal to ln v+C.…

Q: 6. (a) Find the units digit of 3100 by the use of Fermat's theorem.

A: We need to find the last digit ,therefore find 3100≡xmod 10 According to Fermat's little theorem…

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: Prove by mathematical induetion. Ine I+2 +2+2 +2° = 2.

A:

Q: If b is dviisible by a (a|b) and b in different than 0 then |a| is less or equal than |b|

A: The given statement means the following.

Q: 5. Prove that if A and B are similar then dim(ker(A)) = dim(ker(B)).

A: We have to prove dim(ker(A)) = dim(ker(B)).

Q: (Superman Versus m ers arrive according uho

A: System 1 Customer arrival rate in a Poisson Process λ Service time  3μ System Capacity…

Q: B) Show that coth-x = In ()

A:

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

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

Q: Prove that, IXI<a Rf and If -aL X Z a

A:

Q: Prove that Vtan a de – 7//2.

A:

Q: 5. Use De Moivre's Theorem to evaluate (1 – V3i)%.

A: Demoivre's Theorem

Q: By using Caushy Riucman Prove that? e ae

A: We will use the following result :  Result : Let the function f (z) = u(x, y) + i v(x, y)  be…

Q: Prove that • I %3D

A:

Q: Suppose csc(4) = 2 where A terminates in QIV, and sec(B) = -3 where B terminates in QII %3D

A: Given that                                     we have to find value of…

Q: Evaluate using wallis formula: (4-x2)/2 dx and let x = 2sine 0.

A:

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

A:

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: Given: HT || SF, LH = LS and HT SF Prove: AHOT ASTF

A:

Q: Which of the following is false? QCZ

A: To show that all the elements of set X are the elements of set B, the subset is used like, X⊂B   1.…

Q: 12 २ (४) = dt | २स Prove !- \) ২-০০) = २(-०० ) 3D \

A: Given that Qx=12π∫x∞e-t22dtTo prove:1. Q-∞=12. Q-x=1-QxSolution:we know that ∫-∞∞e-x2dx=π       ...…

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

A: Hv

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

A:

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

A:

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-

A:

Q: Theorem 5 there is auniqe Reul for X=2 Sit X ER

A:

Q: About proportionsIf a/b = c/d and r/s = m/n , form a single proportion involving the eight…

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: AB is tangent te OC at point A. mod

A: Given : AB is tangent to the circle at the point A. ∠ABC = 37°

Q: Show that if E,=1 a, diverges, then En=1 | |a,| diverges. %3D

A: Given, We want to prove that

Q: 1- (In x)? If u= In x, then dx=?

A:

Q: If p,q,r are prime number but p is not equal to q, then what is gcd(p,q)? What is the smallest…

A: It is given that p and q are prime numbers. Assume that gcdp, q=d. Then, d is the greatest common…

Q: (a) Prove that x, y = -1, y = 1 1 (b) Prove tha and n: m and

A: This is a problem of Number Theory.

Q: . Prove that, e²i = e²1=22. ez2

A: Let,z1=x1+iy1z2=x2+iy2z1-z2=x1+iy1-x2+iy2=x1+iy1-x2-iy2z1-z2=x1-x2+iy1-y2…

Q: 8. Given: ON bisects LJOH, LJ = LH Prove: JN = HN JNH

A: here, in given ∆OJN and ∆OHN ∠JON=∠HON                                      ∵ ON bisect ∠JOH∠J=∠H…

Q: 10- Prove that a.b3D la+bl2- la-bl? /4

A: Prove that a.b= la+bl²- la-bl²/4

Q: To test this null hypothesis, we compute t using a special case of the formula. state the formula?

A: In this case, we need to write the test statistic formula for testing the null hypothesis.

Q: e){x*,x%,x}on(0,)

A:

Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.