P(A/B) + P(A/BC) = 1 Select one: True O False

Q: Q2/ Fin x in the

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Q: Yk+1Yk – 2yk - -2 into the linear o quation ea

A: Given,                     yk+1yk-2yk=-2                                (6.38)

Q: Find A V Al2) v Al3] , given [1 0 01 A = |1 0 1 lo 1 ol

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Q: = .7 and p, = .6. Test Ho: (P, – P2) =0 against Ho: (P, - P2) >0 using. .05 a =

A: Hypothesis testing about the difference between two population proportions is otherwise called…

Q: L{cosh 3t} = %3D s2+32 Select one: O True O False

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Q: Consider a, = V4n² + 3n – 2n for n > 1. %3D -

A: Introduction: The sequence is a set of functions with the set of natural numbers as the domain of…

Q: what is 2t+4s if t=5 and s=3

A: The given expression is 2t+4s.

Q: dp dz 11. if p = q³/2 12. if z dq dw Vw² – 1

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Q: Q3\ Provk that I p'ct) =- Pco) +SF(s).

A: We have to prove  L f'(t) = -f(0) + s F(s)

Q: B. Suppose that y1, Y2, ., YnidN (0, o2). We wish to find the most powerful test for Ho:02 = o3…

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Q: evaluate nCx px qn-x  for n=5 x=2 p= 1/2

A: Given: n=5 , x=2 , p= 1/2 We need to find, nCx  px  qn- x We know that, nCx= n!/[(n-x)!(r)!] q= 1-p

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

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Q: OProve that (r=s)Er S is toutology?

A: The objective is to prove that r≡S≡r↔S is a tautology.

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

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Q: L{cosh 3t} = s2+32 Select one: O True O False

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Q: Min. z = 4x1+3x2 s.t. 5x1 + 3x2 2 15 4x1 + 2x2 < 16 X1 20,x2 2 1

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Q: Hw N A = 4 2N 4: 2N- N kt sk. Cousturt predecasor reguwes, ot leasd 10

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Q: Q4 Determine i) S Inßx x²dx Sax+8 ii) çdx x²+4x4B

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Q: for n>2, 5 . Deermine for whpch n, n2-2 let |anlく,

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

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Q: Q.8 If v = (x² + y² + z?)¯/2, prove that a2v + ду? = 0. ax2 az2

A: We find second  the partial derivatives lf given function with respect to x, y and z and then add to…

Q: 15% at Goldstein's. A pric riced at $119 He a

A: Given, Cox's and Goldstein's department stores give discounts to college students, 10% at Cox,s and…

Q: dz 14. Evaluate S z(4+2)

A: Given: ∫dzz4+z23. Evaluate the value of the integral.

Q: |=5| (t - T)e2Tsin2T.dT 52(s² – 45 + 5), Select one: True False

A: We will check whether the given statement is true or false using convolution theorem.

Q: In SOR method the value of 0 < w <1 Select one: O True O False

A: The SOR method is called as successive over relaxation method . The is called the relaxation…

Q: In SOR method the value of 0 < w <1 Select one: True O False

A: We will use the formulation of SOR              (Successive over Relaxation) Method to     show what…

Q: Find the probabiliti (a) {Y < 8 – (2|X|/3)}, and (b) {Y < 8+ (2!X\/3)}. Compare the two results.

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Q: n! Verify that Ex1+…+xr=n,xi20 r^n for any r, n>1 x1!x2!...xr!

A: Consider the given information. Let n is greater than equal to 1 arbitrary. Use the mathematical…

Q: a2 z a2z If z = In(x² + y²), find + 2 Əx2 ду?

A: The given function is z=ln(x2+y2).

Q: So (X) exp survival functio II

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Q: O N (AT) = R(A)-

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Q: nd y axsis labelled ?

A: Morphospecies on A Morphospecies on B Morphospecies on C 7 13 3 7 9 4 2 4 4 4 4 2 11 14 10…

Q: 3 II vcos (=") dz dy dz Evaluate 0,

A: Then given integral is  ∫01∫0z2∫03ycosz5dxdydz

Q: dx Evaluate S o 9x2+4

A: Solution is given below:

Q: Evaluate C and P4. pune 4. 11 C3D 11 3 7 4 %3D | = *a+

A: Given, C311 P47 We have to evaluate them.

Q: What would be your decision based on your p-value Reject Ho since the p-value > 0.1 Reject Ho since…

A: Sample proportion =98/245  p = 0.4   The test statistic is given by   p-value = 0.0504

Q: 5. For non-negative integer n and r, where 1<rsn, show that (n-r+1)"C,1=n(""C,). r-1

A: Given n and r non negative integers with  1≤ r≤ n. We need to prove (n-r+1)nCr-1=n(n-1Cr-1)

Q: z+i dz = + ni. 23 + 2z2 Select one: True False

A: According to the given information, it is required to check whether the given integral is true or…

Q: What is KN + IK? GHI J KLM N -4 -3 -2 -1 0 1 2 3 4 KN + IK =

A: It is given that,     We have to find the value of KN+IK.

Q: (mp + mp)V = (mẸ + mp)V¢cOS & = mf(V)F + mp(Viz)p = mgVg COs0 + mpVp (mp + mp)Vy = -(mp + mp)V¢sin o…

A: From the given equations we have,mF+mPvfx=mF+mPvfcos∅       ...........(1)mF+mPvfy=-mF+mPvfsin∅…

Q: 7. f(t)=3e" cosh (In 21) -2t in two ways.

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Q: (d) Could p(y) for y = 1, ..., 6 be the pmf of Y? 92 --Select-- , because p(y) : y = 1

A: The given function is P(y) =y2 /92         y=1,2,3,4,5,6

Q: Sc dz, where C is |z – 2| = 5. z (z-1)2 Evaluate:

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Q: Is AXYZ ALMN? Why? N X N Y L N M DISM

A: To identify whether the given triangles are similar or not.

Q: toxyız)=e xehe of Lexe fie rehe rexe

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Q: a) Expand Ca-b)Catb) b) Hence, expand ox-y+2)(ctytz)

A: a) Expanding (a - b )(a + b)  (a - b)(a + b) =  a(a+b) - b( a+b)                        =  a.a + a.b…

Q: How we dlittiluwrI x fasy)- z=0 The answer is af DE Kindly gue me alelail.

A: given function is                                                        f(x, y)-z=0 now…

Q: Is ~ pV ~ q true or false?

A: Given: p: It is the year 2020. The symbol ~ represents negation. ~p: It is not the year 2020 q:…

Polynomials

Try substituting 1. You will get 6 and not 0. Try other real values also. What About -2? Let us check.