az az and Find z = x* In(1+ ry + xy

Q: Let X1 ∼ Gamma(k1, λ) and X2 ∼ Gamma(k2, λ) independently. Show that X1/(X1 + X2) ∼ Beta(k1, k2).…

A:

Q: let f: [o,0o] - [o,00) be decined by Fla) =x? IF is a homeomor phism Detemine

A:

Q: Q2] Find the lower bound of Iz - 3|if |z - il < 1

A:

Q: Find 3²y of z = In(xy)

A:

Q: Ferentiation of the posit (1), and a(t) to any poi

A: From the graph, v(t)=dstdta(t)=dvtdt

Q: 4. Prove that for n > 0: E, 2* = 2"+1 – 1. sk3D0

A:

Q: Use AAS to prove th Given: ZR and ZP a QR || SP

A: Given that, ∠R and ∠P are right angles. QR¯∥SP¯ We have to prove that, △QPS≅△SRQ

Q: 2. Find all volves of tand u x(t,4)=0 and simultomebusly such that =0. 3. 5x-11* C.

A: Get the equations for:  fx=0fy=0 15x2-11y=0-11x+3y2=0 or 15x2=11y3y2=11x

Q: () = 2 sec(a O conon1 O pton 2

A:

Q: gorean Theorem. 12m 14m

A: Topic pythagoras Therorem

Q: Find the reductión Bormula Bor d x In (a+bshmx)"

A:

Q: Q.4// prove that: cothx = In, |x +1 -1 х —1

A: let y=coth-1(x) x=cothy We know that cothy=x=ey+e-yey-e-y xey-xe-y=ey+e-y Multiply ey on both sides…

Q: 6. Find a²z дгу of z = In(xy)

A:

Q: Reduce to Canonical form Ur + 5 Ury + 6 uyy = 0 None UgE = 0 Uen = 0 = 0

A: compare the given equation with Auxx+Buxy+Cuyy+Dux+Euy+Fu=G therefore, A=1,B=5,C=6 find B2-4AC…

Q: xy If z show that: x- y

A:

Q: 3- Vn n=1

A:

Q: Find the rank of A= = xS+ x + invertible. [exham S] O A MOITERUD 225 10-4 and explain why it indic 4…

A: NOTE: Refresh your page if you can't see any equations. .

Q: Prove that 1/(nx) → 0 pointwise, but not uniformly on (0,1) as n → co.

A:

Q: 6. Use a substitution to find S (x* + 1)" z³dx.

A: Here we use substitution we find∫x4+111x3dxHere we substitute x4+1=du…

Q: Find y,(x) if y = In(In(Inx)).

A:

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: 7. Find a pair of integers (x,y) such that 4021x + 2014y= 1.

A:

Q: Queston #o 4 Show that X, Ixe, where x, and Xe E IR X= (1,1,1, -1) Xz = (4,2,2, -1) %3D

A:

Q: az Find if yz – In z = x + y ax 3.

A: We have              yz-lnZ=x+y

Q: in(Zg++s)indeyclic grauf2enerated by I, Z,3

A:

Q: Find all values of z such that cosz = 4.

A: We find all values of z such that cos(z)=4

Q: Prove: If the characteristic equation of ay" + by' + cy = 0

A:

Q: 4. Let xn → 0 and (yn) be bounded. Prove xnYn → 0.

A: Hello, thanks for your question but according to our guidelines I am answering just question number…

Q: let z- 5 dy By chain Ruie

A: Given z = √x dy/dx = (1/2√x)•(dy/dz) We have to find d2y/dx2 .

Q: 11. Prove the absorption law x +xy=x using the other laws in Table 5.

A: To prove: x+xy=x We use the following identities (1) x=x·1 (2) 1+x=1 (3) xy+z=xy+xz    ( This is…

Q: Derive the moment generating function of X ~ Bi(n, p) and using the MGF compute E[X] and Var[X].

A:

Q: 2. What is the largest possible c in (1) if X=R² and x₁=(1,0), x₂ = (0, 1)? If X = R³ and x₁ = (1,…

A: Given: c To find: a) X=R2b) X=R3

Q: If u=u(y-x/xy,z-x/xz) prove tha x^delu/delx+y^delu/dely+z^delu/delz=0

A: Consider the equation

Q: 1 find func- 88. Finding a Composition If T(x) = %3D Vi + Vx tions f. g, andh such that fo goh = T.

A: Given: T(x)=11+x To find f, g, and h such that f∘g∘h=T

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

A: Hv

Q: 2 (x) 2. prove that s

A:

Q: Find Š Clim sup and s Clim inf) nt (-1) (znt) of Sn=

A:

Q: Find the joint characteristic function of X and Y if SxY (x, y) = 1 exp

A:

Q: 8. Theorem h° = %3D

A: The figure given below represents the circle. From the angle subtended by the same arc theorem, The…

Q: Let Xi- N co,1) and n=2 auel T= Xi+ Xz Show that Tis a %3D Sufficiency Stabisuic Statistic.

A:

Q: 5. Use Cauchy's Residue theorem to evaluate dz; Có lz-il =1 (2+1)

A:

Q: 4. Prove that d x" = nx"-1 ミクー! de

A: To prove that ddx(xn) = nxn - 1

Q: In x y = (In x)“

A:

Q: Prove: le* a. ſ csch x = In - |+c lex+1

A: As per Bartleby guidelines rule I am answering only first question as Both question is not subpart…

Q: x2/3 is (are) The critical number(s) of f(x x – 1

A:

Q: 5. Let A z 3 4 87 8- ーん Prore that find ite diogonel form. A it diaganalianllen and

A:

Q: Rouché's theorem for p(z)=z^6−5z^4+z^3-2z ;|z|=1

A:

Q: Consider x1 = (I11, F12)" and x2 = (12n,I2)". Let x = (x}, x})T and IPPP 1 P P Cov(x) = PP1p PPP1…

A: The  first pair of canonical variables, or  first canonical variate pair is the pair linear…

Q: if :z = cos 0+isin 0 2z² z²+1 prove that: 1+itan 0

A: