Suppose, X|6 ~ Binom(n, 0) and 0 ~U (0, 0.25), then E(Y)is equals to, a) b) c) 2.15 8n 1.25 n d) 8

Q: Show that a fomws with R>o Ssee igue] may be descuibed panometuicaly by u cU,N] Cosu, (R+ o…

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Q: Show that |qbu)|&x + 7元? the closed on interval [-元,T」 fo1 -π2 2くだ gluen that glven gux) for

A: Given g (x) = x +x² To find the maximum value of g(x). We can differentiate the function and equate…

Q: 2. Cuven that 7, = -2 +ui, Z= -2i + 3 and E, - |-i. Gvaluate the followshng %3D 2 | 국 2

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Q: 5.Use thelefinition to Rrave that Jw wh- 2

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Q: O REDMI NOTE 9S Solve the disserential equat ilon with disscussion of Soluiton? x4-y=4²XLincx) %3D

A: Given differential equation is xy'-y=y2×lnx.

Q: 18, then Ku = 3 and µ4 Af U2 %3D %3D Select one: O Platy O symmetric O Lepto O Meso

A: Solution-: Given: We find

Q: Find the asea enclose by the cuo ves 4= 8-x2 and y=c?

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Q: Show that : sup {reQ:r<a} =a, for each a e R. %3D

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Q: 7. Show for y = u.v that y"= uv"' + 3u' v'" + 3u" v' + u''' v.

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Q: XYZ is given with X(2, 0), Y(0, −2), and Z(−1, 1).  Which of the following can be used to prove that…

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Q: 12) Show that D. ldi-del is shortest distance bet uleen ax-by+c2di i and ax+by tcz =dz?

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Q: 1 Using Convolution theorem, find (i) L (s+a)(s+b),

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Q: Compute ff, x²ydA,where Dis the triangle bounded by x = 2, y = 1, y = 1 –

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Q: Let Z, = 2 cis 30° Z2 = 3elli %3D Z = In (1 + i) If Z = Z,Z, +Z3 Find IZ.

A: First we convert all expression into a+ib form then make necessary calculation.

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: しt A and B be similar inrertiblo matricen Ghow that and B" are rimilar

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Q: 6. If y = In(r+ 1) In z then what is dy/dr? %3D

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

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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: 2) Eliminate the arbitrary enstant, 4 y= x*+ Cix + Cz e-X

A: Given problem:- Eliminate the arbitrary constants. of y= x² + C₁x + C₂ e-x

Q: 16. Write a two column proof. Given: OSTUV U V. Prove: AVXS = AUXT T S 8.

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Q: af af дх ду af az and of. HINT [See Exam Find 24 fx, у, 2) : x² + y2 + z2 af af ду af az %3D

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Q: Dyani wrote a proof to show that ZXWY ZYZX. What is her error? Since ZWXZ LZYW, LXZW LYWZ, and XW…

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Q: 1) Prove that Ym,n EN such thert m¢ nt = n<m using the princdple of in duction!

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Q: Let X and Y be independent and distributed as N(u, 1). Is T = X-Y sufficient?

A: According to factorization theorem, If the likelihood function L(x,θ) can be expressed in the form…

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: et A be 4X4r nas non-brivial . -son-

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Q: △XYZ is given with X(2, 0), Y(0, −2), and Z(−1, 1).  Which of the following can be used to prove…

A: Given △XYZ is given with X(2, 0), Y(0, −2), and Z(−1, 1)

Q: Fin d the sc cond soluhen prr tk edo te edo If Konow that y, =x IS a solotień

A: We will reduce the order of the given given second order homogeneous differential equation using the…

Q: In R', the point (1, 1, 1) does not belong to the cylinder x + y = 2. Select one: True O False

A: Given problem:- In R³, the point (1, 1, 1) does not belong to the cylinder x² + y² = 2.  True  False

Q: (3) Determine whether The following tundions are unitermly continious. Justity your answer Ca) f:…

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Q: 12 If SU = 37, find the length of SUR. S. %3D 151° R. T.

A: Given: SU=37(Note this represents diameter of given circle) And measure of angle SOR is 151°, where…

Q: Show that Z, dv=2010 %3D if B= 2) : -1 Śn s3, ISySY,e

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Q: Find the indico 6. 2. 3+ 2 1..2+4+8+ 27 t. 4. 3. 12, (4)"- n= %3D1 2.

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Q: Which rec tor lield s are not conservative %3D O F(ay)= (3x² - 4 y 4y=-2x> r.

A: Note : As per authoring guidelines, when multiple subparts are posted, then only first three…

Q: prove that dv v 21/12 الله duz 2 2

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Q: Verify that the conclusion of Clairaut's theorem is valid, that is, that uxy = uyx u = x4y3 - y4…

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Q: 火2sin C&) for ダチo fcx) = { for x =0 show that Con tinods or not

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Q: 12. Prove: ΔUΧΖ-Δ AUXZ AYVZ ~ Z.

A: Given: chord UXChord YVand the Center ZTo…

Q: Selve the fallowing euler Cauchy.eg:using net hed of variation? O xy.3x y+ 6X.y-6y= Xs,in X 2. %3D

A: Disclaimer: Since you have asked multiple question, we will solve the first question for you. If you…

Q: f Shoo that the interior operat1on has the tollouni ng Propeities. if E, CE2, then interier (E) C…

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Q: SU SW. Complete the proof that ASTW ASXU. T. V W Statement ZW ZU SU N SW ZS ZS 4 ASTW ASXU 2.

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Q: 2! ODEV de venten egrimin yözyım alonını bulumz eksni etrafioda döndənuess te duçon

A: A=integration a to b y(t) x'(t) dt

Q: Show for all x, y in R |x+ys]xl + ]y!

A: consider left hand side  and use the result x=x2 x+y=x+y2=x2+y2+2xy≤x2+y2+2xy≤x+y2=x+y

Q: pes of animals are treated by at least on r. Scott, and Dr. Baker)?

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

A: Prove that a.b= la+bl²- la-bl²/4

Q: 3 tari' (xty) , Prane that x2+ ydz Sen 2z be

A: We have z=tan-1x+yx-y This implies tanz=x+yx-y Let u=tanz Then we first need to find the degree of…

Q: ncuentra la solución general de la EDP az az 2, дх ду (1+ z-x-y) necar si existe una solución que no…

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