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Q: Given y, = Bo + Bıyt-1+ E; and ɛ, i.i.d. N(0, o²), compute: (a) E(y;). (Ъ) Var(y;).

A: Given information: In the given model the current period is predicted on the basis of its preceding…

Q: If t(x)=0.08e^xx^2 and a=5, what is t′(a) to the nearest tenth?

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Q: 2. In the figure, 21 = 2, 23 = L 4 and BD = CF. Prove that AC = EF and AB = DE. E В F D C 2.

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Q: If §dx = A(B In|2 + x| + D In|2 – x) + C, then the value of 2A(B – D) is

A: This question can be solved by using the concept of some special integrals.

Q: %3D 7. If mBC = (9x – 53)' and mCD = (2r + 45)", find mBAD. E

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Q: If 23z = 3, find 49z-2 %3D 19683 a) О 4 b) O c) O 2187 729 d) O 16 4. e) O 19683 f) O None of the…

A: I hope that this solution will help you .Thankyou. Best regards.

Q: Given, dr = b(cosedr+rsinėdė);r(π) = 1. Find (1) 1 1+b O 1+b 2 1 1+b O b -(1-b) 1+b

A: We have to find the value of rπ2

Q: Let X b(n,-) and E(x) = E(2– 6x) find n.

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Q: Given z = (1 + iv3)100, then %3D find the value of Re (z) / Im (z).

A: The solution is given as

Q: 0.6 e da, using Simpson's by taking EaN=6

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Q: letecx= ae de Where Alo=0, then e

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Q: Let w e H and suppose that (1+ i)w(1+ 2j) = 1+ k. nd w (your answer should be in the form a + bi +…

A: Given function is, 1+iω1+2j=1+k

Q: 5) If DE = 4x +1 EB = 12x – 31, and CD = 28, %3| find AD. A E D C A) 4.0 В) 17.0 С) 19.3 D) 24.4 B

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Q: When A is arbitrary, we have U 4R c (UA)", N 4s cn An.

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Q: If f (z, y) — е"у, then fr (1, In (3)) —??? (а) е (b) e³ (с) 1/3 (а) 3 (е) 3ln (3)

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Q: If x I y and y I z, then b

A: For the lines l, m & n, if l∥m & m∥n, then from transitivity rule l∥n.

Q: If X~N(u , 5), Find u if P(X>12) = 0.02118 %3D O a. 1.85 O b. 2.03 O c. 11.89 O d. 22.15

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Q: If S 3D [x|0 <x<12}, М 3 [x| 1 <х < 9}, and N %3D (x | О <x< 5}, find а. MuN b. M N N c. M' N N'

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Q: Consider ADEF, where m/D = 42 - 5, m/E = 3r + 15, and mZF = z+10. Whatis the aue o 2?

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Q: %3D 10. If DE = 4x + 1, EB = 12x - 31, and CD = 28, find AD. %3D B A E D C

A: Given quadrilateral ABCD is a rectangle. DE=4x+1EB=12x-31CD=28

Q: If y? dy = is =I, then O a. 1/2y O b.x/2y O c. 2y/r O d. None O e. 2/r

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Q: Find the value of t for which 1 V3x+1 O none of the choices 6 O 3 O 5 O 4

A: Here, given that: ∫1t13x+1dx=43

Q: if P ( CnX) = 0.6, PC' n x) =0,2, Then P(C)x)= a. 0.24 O b. 0.81 OC. 0.75 O d. 0.57

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Q: If S,° f(x) dæ = 12 and S,' f(x) dx = 3.6, find

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Q: Show thet the fens- 14 ベ+ ナ (A+1)(2p+1) (P+1) (241)(38+) (uluse convedges if 8a and divesgus if Bsd…

A: We will use the following results to solve the given problem : Result 1 : ( Ratio Test )  Suppose…

Q: O lf A,B,GE Hn CR) and G is non-s show that a) CA =GB> A=B 6) AG =BG =) A=B igelar, then

A: The solution is given as

Q: Evaluate Sc (5x+2√y) ds ds where C is given in the accompanying figure. CH (1,1) 1- Z y=x y=x² X…

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Q: If X~N(u, 5), Find u if P(X>12) = 0.02118 %3D O a. 1.85 O b. 2.03 O c. 11.89 O d. 22.15

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Q: If 9 = {(2, y) | 0 < y sa < 3}: then: y. Væ +1 dæ dy =

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Q: Let p= 29 and q = 31, and let e = = 101 %3D (a) Find n = pq and o(n). (b) Find d.

A: Since you have posted a question with multiple sub-parts, we will solve first few sub-parts for you.…

Q: Given that t f"CX)= Coscacde el (ib)=8 Cand find:

A: We can solve it by integration.

Q: Find the value of c such that E enc = 4 n = 0 3 1n 4 C =

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Q: 19. C are 30 and 45 respectively. If BD IS /erpendicular to AC, then AD: DC A. 12 B. 1:3. C.3:1. D.…

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Q: In OP, PE = PB, PE I DF and PB 1 CA. If DF = 3x + 16 and AB = 3 – x, find x and DE. F X= DE =

A: It is known that any perpendicular drawn from the center of a circle to the chord, bisects the…

Q: : Given a .v. メ=リ34,5, then O af y= 3x-2, then find E(Y),VCY) and MCt)-

A: Solution

Q: If z = x – 3y, then w = 2 Using the calculation above, mark the s

A: Linear span: Let V represent a vector space, and S=v1,v2,...,vn represent a subset of V. If every…

Q: Evaluate the following: 6. Se (y, 1) - dr where r(t) = (t3 –t, 2t) from (0,0) to (6,4).

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Q: If mZKNM = 71°, then what is mZKNC? %3D В D C A →F N H K L J

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Q: If fi f(x)dx = and f f(r)da = 1, then 6 f(x)dris O None of the others. O 18 O 12 O 2 O 10

A: A detailed solution is given below

Q: (9) Let X z b(n,) and E(3x) = E(3– 5x) find n.

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Q: The soluhion of P.D.E 3 + 2 du o, u(x,0) = 4e* is @ 4e © 4e O 4e

A: 3∂u∂x+2∂u∂y=0, ux, 0=4e-x Characteristic curves are given by  dx3=dy2=du0 Solving the first two,…

Q: a|b and alc albn + ст Vп, т E Z

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Q: a) Is it reasonable to assume X; and Y; are independent? b) Is it reasonable to assume X; is…

A: According to the answering guidelines,  we can answer only three subparts of a question and the rest…

Q: Let C: |z – i| = 3 and I = $. dz. Then e 6z z2

A: By using Cauchy integral's formula for nth derivative.

Q: Find T, N, B, K and t for r(t) = ti +÷e2'j when t = In 2. 2

A: answer is in next step

Q: If S= 1+3+5+7+9+11+... + 99, then 49 s-Σα r=0 where a,

A: 1. Given, S=1+3+5+7+9+11+…+99 Then, S=∑r=049ar Find the value of ar.

Q: . Given: AB > AC; BD = EÇ Prove: BE > CD A E D

A: AB&gt;AC and BD=EC in the triangle

Q: If A, = 1x | x = kn, k E Z}, find (a) A2n A5; (b) U An, for n e N. n=1

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Q: If ry? +: 10 ++y= In then dr at y = 0 is Select one: O a. -10/11 O b. -5/6 Oc. -1/2 O d. -6/7

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Q: Let w = r. In(xyz), then which of the following is 2 O a. O b.0 O d. O e.

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