Q3- Give an example of two denes not equal X subsets of (R,T) and (z, of ). ( Explain your answer ). coc

Q: 2. (i) Show that for a discrete dis.ribution B2> 1. (ii) Show that B2> B1

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Q: 1- iz If z = x +iy and w =- z-i show that w = 1= zis purely real

A: Use modulus property

Q: Grplain why Ž diverges, 27 41 even though has a finite liniit 2 t 2

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

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Q: Consider the ODE system x' = A et + 3 with A = 4 1 3 a) Use the method of diagonalization to find…

A: Note: According to bartleby we have to answer only first question please upload the question…

Q: 3. Find two elements a and b in Z25 such that a and b are units, but a +b is not a unit. Justify…

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Q: Q4/Find Loplace transtorm of £(4)= et by using} defining fanotion ر م ) ) st e" dt

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Q: a) Show that fi (x) = cos x, f2(x) = cos 2x are orthogonal on [-7, n].

A: As per our guidelines we can answer only 1 question so kindly repost the remaining questions…

Q: - Let X1, X2, ...,Xn~N(0,0) and T = Fi (T),Var(T)

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Q: 6. Find the Maclaurin seriés for f(r) = (1-x)-2. %3D

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Q: gorean Theorem. 12m 14m

A: Topic pythagoras Therorem

Q: I independent, and that o+zz-5 = 7. Based on the provided information, answe owing questions: ind…

A: Since the question has multiple sub parts we will solve the first three sub parts. Please resend the…

Q: Compute 4n — бп? lim Vlan| for a,n %3D 3n2 +7 n-00

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Q: Prove by the indirect method: Given: AMPN is not isosceles Prove: PM + PN

A: Concept used: Step of indirect proof: First assume opposite of conclusion of the statement. After…

Q: 1. Let, a1 = 7 and for n 2, an An-1 express an in terms ofn. %3D ". **

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Q: spectra of TT* and T*T are real and cannot

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Q: aps odrbes show that uyx = 1+ - and that var(Y|x) does not exist. on 1

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Q: 4. Using Z(n)= Show that Z(ncos no) = (z-1) (z'+2)cos0-2z (2-2zcos0+1)

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Q: Prove of disprove if the given DE is exact. 2x^2 +4 =2(3-x^2y)y'

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Q: show that Ф (x, y, z) = аф PDE : агф дуг + дуг I х2 +у2 +Z2 024 072 satisfies the

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Q: ag show that: coth's =ţ he (xal/, X-1

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Q: S Prove that L(cos 3t) (s²+9)

A: Given L(cos3t)

Q: az Find for z = x'y'eV

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Q: Find the the fellowing ODE 's general Solution of ODE'S x³ - X %3D

A: Given ode xy'+4y=x3-xy'+4yx=x2-1

Q: Question- let G De 4. H and k. then of ZLHS and 2

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Q: (6) If u, =*-!P«(x)Pn -1(x) dx, show that nu, + (n – 1)n-1 = 2, %3D and hence evaluate u„.

A: Given un=∫-11x-1PnxPn-1xdx

Q: OFind all Max. , Min, seddle Point for the fure tiens below: 3xy - 15 X +.

A: We need to find max. min. and saddle points of given function.

Q: 2 / The eanation rasine itis an e quation of acircle passing through the origin and center onthe X.…

A: Polar to cartesian conversion:

Q: Verify Eular,s theorem for z =ax2+2hxy+by2

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Q: dn-1 for allneZ with n2 2. Prove that for al Let di = 2, and dn ne N, d, =. %3D %3D %3D

A: Since you asked to solve for multiple questions. But according to guidelines we will solve the first…

Q: Y is neither on the interior, nor the exte Y lies in the interior or in the exterior of Y lies on…

A: In this question we will use basic of algebra. We will use basic concept of interior angle and…

Q: Q/Use Definitien 13.4-1 +o prove that f(x,r}>x+y' is difterentialeat (o,0).

A: Given function is  fx,y=x2+y2

Q: c If in is an involution of X, show that (x, y)in = (yin, xin) is an involution of X2). %3D

A: Let X be a lattice We have to show that (x, y)in=(yin, xin) is an X[2] X[2] is a 2 x 2 matrix We…

Q: Give an example of two denes not equal X subsets of (R,T) and (z,7or ). ( Explain your answer ). cof…

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Q: Give an example of two denes not equal X subsets of (R,Te) and (z, cof). ( Explain your answer ).

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Q: The characteristic of Zs[x]/ is 6. O None of the choices

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Q: リ この Shmo that e す。 are soluting of I

A: Note: Here, we will consider the differential equation y'''-6y''+11y'-6y=0....(1) instead of…

Q: Tofology 2. EX しT X={12/3/4 /5,6 T=Eメ,中っをり,立る, りろ4。 LeT {1,3,4), Topology ? زژه اوم.

A: For the given statement

Q: Let yII + yI - 42y = 0 Find all values of k such that y = ekx

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Q: lestion 25 Consider the following IVP: y" + 3y' + 2y = 12x?; y(0) = a, y'(0) = b

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Q: əz əz if z = z(x,y), x + y + z = e¬-(x+y+z) , show that дх ду ax

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Q: uppose that X~N(µ, o²) and that P(X 3.6) = 0.6554, what are the alues of u and o?

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Q: R Given: OR L ON Prove: ZROT is complementary to ZNOT Proof:

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Q: Using the Wronskian, determine if the sets are independent. a) {sin 3x, cos 3x} b) { ex, e-x}

A: Here we use the statement that if wronskian is non zero then sets are inpendent.

Q: ii) Given Z, = -1 + iv3 and Z, = -v3 + i, show that In (Z,.Z2) # InZ, + InZ2

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Q: 4/5elve R(X)= X-2X-5 Using secant e thed, Cerreet apto 2 decimal plases.

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Q: Q3- Give an example of two denes not equal X subsets of (R,Te) and (z,ror ). ( Explain your answer…

A: