M„(Z) D This Option

Q: 3 Evaluate e*+y dxdy O e4 – 2es – 2e³ - O es – et – e3 O es – 2e4 + e3

A: Integrate in the given order and put the limit one by one.

Q: P(z < C) = 0.4565

A: P(z &lt; C) = 0.4565 C=?

Q: 11. If d || e, mZ6 = 9x - 4, and m28= 4x + 67, then a. m25 = 6 7 b. m27= 8 e

A: Supplementary and corresponding angles

Q: Let n = p1"1. P2“1... p,"r, then Ean µ(d) T(d) %3D This option O This option None of the choices

A:

Q: d. None of the above (3) Based on part (2), we can deduce that: dw a. 1+ w2 Jo dw dw 1+ w? dw dw 1+…

A:

Q: Example 4: If K. stock value of XYZ Ltd. for: = 11% and E = 715, calculate the 1) r= 12%

A:

Q: S(c^~q) S→(-avr) a p

A:

Q: u(k, l) = f(k – l) + (2/5)*g(k – e) + /18(3k – 4)k, v(k, l) = f(k – l) – 2(?/½)*g(k – l) + /18(3k –…

A: It's just a problem of substituting. It is given that the equation (5.212) is the general solution…

Q: e 24-7. Which group (i) or (ii) is more skewed ? (1) Mean = 22; Median (ii) Mean = 22; Median= 25;…

A: Given : Group 1 : mean = 22 Median = 24 S.D = 10 Group 2 : mean = 22 Median = 25 S.D = 12

Q: B (m,n) = %3D Γ(m) Γ () a O . Гm+n) Гm+n) ьО .b Г (m) Г (n) .C Гm)Г(n).dО

A: We know that nzn=∫0∞e−zttn−1dt, where z is a constant. This implies n=∫0∞zne−zttn−1dt Multiplying…

Q: The evaluation of S S 3y³e*ydxdy is e - 1 O

A: Given: ∫01∫0y2 3y3exydxdy

Q: 8. If e || f, m27= 5x, and m28 =x+ 22, e then a. m/7= b. m29 = 7 f 6.

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

Q: Let C z-1=3 and1 = §, = dz. Then

A: The solution is given as

Q: Question If F (s) then (s+1)² +4

A: The inverse Laplace transform of, L-1ss2+a2=sin(at)L-1as2+a2=cos(at)L-1F(s-a)=eatf(t)

Q: What is the equivalent z-score of x = 13 if u = 10 and o = 2? * %3D 1.5 O -1.5 2.5 O -2.5

A: As per the guidelines we are allowed to solve maximum of 1 question   Given: x=13μ=10σ=2

Q: 2 Let C: z-2|=1 and I = dz. Then C z2-4

A:

Q: 2 Delermire if fW=x s is even, odd neither.

A: As we know that a function f(x) will be  1. even function if f(x)=f(-x)  2. Odd function if…

Q: АРТЕ -> Z. K E. P.

A: Given : 2 parallelograms of the same size

Q: k dr Evaluate J – YE * +*+ Va + In|VE – 1 +C 뚝+ -VE+In|VE- * +* + Va + In|Va – 1| +C E +* - a. 6k *…

A: In this question we will use basic of calculus i.e concept of integration. We will use integration…

Q: 1000 1000 2. Find Eb, if E(4b, – 5)=16. k=1 k=1 1000 1000 1000 1000 1000 а. —1290. b. Уь, —1254. с.…

A: Given ∑k=110004bk-5=16

Q: There is a ________% chance of randomly selecting a consumer who cannot live without both google and…

A: Given data about the brands American's can't live without

Q: P = R-C, for R %3D N

A:

Q: Assume w = 4 and r = 2 when t = 0. Does the number of worms increase, decrease, or stay the same at…

A:

Q: M [e-ax; p] = Гр) Re (p) > 0

A: It is a simple, formula based proof by using laplace. Mf(x); s= ∫0∞xs-1f(x) dxM[e-x; p] =…

Q: 1. Find the degrees of freedom needed for a test of independence. Male Female Voted 34 45 Did not…

A: (1) The summarized table is, The no.of rows is, 3 The no.of columns is, 2

Q: g. What can you conclude from the results in (d), (e) and ()?

A:

Q: /| (9x + y – 2z) dS. Is Evaluate S: z = x + 0 < x< 4, 0 <y< 7

A: Given: ∫∫S9x+y-2zdSS:z=x+y2, 0≤x≤4, 0≤y≤7

Q: A. Evaluate the follow 1. S dy 3+√y+3

A:

Q: x(n) = a¹sin (w¸n) u(n)

A:

Q: d(a, C) := ínf d(a, x)

A:

Q: s+1 If F(s) = (s-3) then

A: Given: Fs=s+1ss-3

Q: (b) Pr[X > 0.6n] < 0.85. Let X be the number of HEADS after n fair coin tosses. Show that

A:

Q: Show that E(r(r + 1) =- n(n + 1)(n + 2), n E N.

A: We have to show that ∑r=1n(r(r+1))=13n(n+1)(n+2)           ∀n∈ℕ

Q: µ²(d) Let n = P1“1. P2ª1... P,“r, then Laļn 7(d)

A: Number theoretic functions or arithmetic functions are very important in number theory. There are…

Q: e-s s(s + 1) ]) «(-| f(t) =

A: Here we have to find out inverse Laplace transform.

Q: If F(s) then (s+2)2+4

A: To solve the laplace transform

Q: d. What happens if P < M for all t?

A:

Q: 9. С ФD 10. (А ~ С) N (ВФ D) 11. В' U C 12. (B U C) N (в ~ C) 13. (A U BN C)~ (D Ф B) 14. (С ~ В U…

A:

Q: w/A w/N .cO .d O

A: Concept:

Q: e Va € R, if 1 ≤ a, then ³n € N, 2a + n n+1 <a

A:

Q: 7. Find k so that dx ke + C.

A:

Q: 3 21 27 Let I =|||yz'dxdydz . Then I= 4 0 -10

A: Given  that a triple integration(I) ,  we solve and prove it value is 27/4 is true or false. We know…

Q: 1. В 3 S 2. ~K 3. (B = S) Ɔ (~R v K) What rule, if any, could you immediately apply to two o

A: Introduction: Some rules of inference: Modus Ponens: a⊃ba∴b Modus Tollen: a⊃b~b∴~a

Q: (E,E2 – k)z(k, l) = 0, - (E1 – kE,')z(k, l) = 0. -

A: The given operator form is: E1E2-kzk,l=0             (1)

Q: (27) Let X = P(2) and E(-x) = E(5 – 5x) find 2.

A: Given: A random variable X follows Poisson distribution Mathematically, X~Poi(λ) The probability…

Q: 1) GiLen: m= l62° m/2=26° Find: miCE andl m BD %3D

A: Given: m∠1=62°m∠2=26° To Find: mCE⏜ and mBD⏜

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

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

Q: 1 f (t) = t – bet) (aeº а-b (ае&t — eat – beat)

A: This is the problem of Laplace transform.

Q: E. Let 2-(e-e(3). Shn that Zy-4(xe ye")=2.

A:

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.