use the Yatio test to determin Cun er div 3.6.9 (3n)

Q: (c) Infer E[W] without resorting to lengthy calculations but make sure you justify your inference.…

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Q: Find n, where (x²+ ax+)² o(x"). Hint: expand (x*+ax+J

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Q: Show that E[X]= a +V and o = b 4 4 -

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Q: |u| ≤a is equivalent to __________ .

A: Given |u| ≤a is equivalent to __________ .

Q: If F (s) = then %3D (s+1)2+4

A: Using inverse transform properties, f(t) is given.

Q: jpechudu - 2tan"e.c tan "(sinhu) - c

A: To prove:- ∫ sechu du =2 tan-1(ex) +C                     = tan-1(sinhu) +C

Q: (c) Is ergodic (d) Is wide sense stationary

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Q: d given the following: Sy = u² + 6u – 2 u = 4x² + 8x +1 %3D

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Q: flt) = Ualt) U, It) (t -3)2 + o uslt) sinzlt-s)

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Q: Let C z-1=3 and1 = §, = dz. Then

A: The solution is given as

Q: Qa. If Fes) = T , fined fcts %3D -2)-५) -৪)

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Q: evaluate using the appropriate method or combination of methods.

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Q: alp heve fore, lasie closer together than a and "a and c" oY b and C"

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Q: Find the most general antiderivative. 7 9) SWi-Zndt

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Q: What is (compute) T ges E Messages

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Q: 4. If E(R) exists, show that |E(R)| < E(|R]).

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Q: Find the following. u = 3(4, 9) %3D (a) u|| (b) v|| (c) |u+ v|| (d) (e) (f)

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Q: Explain why AGHL ~ AGJK K I UE E

A: Explain the similarity

Q: Suppose that X and Y are unknowns with E ( X ) =12 and E ( Y ) =20.  If E ( XY ) =225, then what is…

A: E(X) = 12 E(Y) = 20 E(XY) = 225

Q: S(Võ +) 1 do

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Q: 2. If u = x + y + z' - 3xyz, find the value of x- +y+z

A: To find the partial derivative of the given function u(x,y,z)

Q: y' + y = y²

A: Given: Now,           y' +y=y2⇒dyy2-y=dtIntegrating both sides we get,⇒y=11-et+c1

Q: The DE : y' =e3x-7Y is seperable Select one: O True False

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Q: In r dr

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Q: al HL b7 SAS C) NOt Co ng ruent

A: We will prove what relationship these two triangles have.

Q: let R = (-2, 7). Calculate the following: The components of u = PŔ, where P = (1, 2)

A: Given,               R=(-2, 7)   and   P= (1, 2).    The components  of u=PR⇀=?

Q: af 10x +11ly and = 11x. Which of the following is the best definition of (x,)) = If %3D Əx

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Q: Let X = n(u,4) and Var(2x) = E(4–7x) find u.

A: As per our guidelines we are suppose to answer first question .

Q: he coefficient ao of Fou +2 t. く?

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Q: Find the value of x in Q. x=___

A: A line perpendicular from centre of a circle to the chord is bisect the chord.

Q: 3. fualende Zdv, where, E- (nyE):0くn<l,o<y<1-n,oくまく1-1-

A: We have to evaluate the triple integral ∭E z dV where E is the region containing the set of points…

Q: Only F, H and J please.

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Q: two variables are independent, each with the pmf given in the accompanying table (so X,

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Q: Suppose that  X  and  Y  are unknowns with  E ( X ) = 12 and E ( Y ) = 20.  If E ( X Y ) = 225,…

A: It is given that, E(X) = 12, E(Y) = 20 and E(X,Y) = 225.

Q: LetS 2 x;-x)2 be a biased estimator foro, then the bias= ni= 1 Select one: a. -D1 b. in d. 1 1/n

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Q: Which method can be used to prove AEFG AG H. LL E.

A: We have to prove  ∆EFG ≅ ∆ IHG Given ,  ∠GEF = ∠GIH  IH = EF

Q: B 2. 7.2.Preve that CD= 24 SnR Vzt2 cosx

A: Use trigonometric ratio to solve

Q: Find the following antiderivative. far 5z + 7dx

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Q: What is the best substitution to make to evaluate S O u = 3x Ou = e³x u=1+e³x Ou = e-3x e³x 1+e³x dx…

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Q: Check That

A: Given: ∂2W∂U∂T=∂2W∂T∂U  for W=eUT

Q: Interpreting Pearson's r <0.2 102 O = very weak relationship stationali.

A: x 33 31 32 28 33 26 34 32 28 27 y 6 4 4 1 3 3 4 2 3 2 r =…

Q: Show that S ťe dt = 3VI

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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: Find an expression of for y = 2*ev*, Hint: (a*) = a* . (x) · In a

A: We can find the derivative as below

Q: 3) Find the deri vative of cscC (x) (xf3)' X4

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Q: c- Verify Clairaut’s Therom f(s,t) = s²t + In(t²-s)

A: In the question it is asked to verify Clairaut's theorem for the following function given in…

Q: let fho=3*-1지 , t E=(12] 州 fefE)?

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Q: асe of A is

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Q: 5xdx 4+3x2 3dx 7-6х+3x2 5xdx V7- x2

A: We put 4+3x2=t and defferentiate both sides with respect to t and solve the integral. For 1st follow…