1 Show that xn-m)}-2X(2). assu me. Zera 1c

Q: (m) For ro = -8, 11 = -7, 12 = -6, 13 = -5, I4 = -4, f(z1)Ar,

A: Given

Q: mly collect the dat

A: Null hypothesis(H0): Reasons are not significantly relegated to the type of worker   Alternative…

Q: 7. Remwrite the..either.five.exated.nt.agrmls. 1-X FCX ng , Z)dydzdx ZA z= 1-x2 ...... y=1-メ

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Q: Show that 1/2 ( Tn + Mn ) = T 2n

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Q: O max(x,z) О тах(хә 10xz + 3x + z suисh that 3 > 6х + 3z. О mincә 10xz+ 3x + z such that 3 6х + 3z

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Q: 2etūsw ER' such that and iov-2.Than (3ü)(B)

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Q: Let S = {2x,1 – x, x² + x – 1,x + 1}. Then %3D

A: The correct answer is

Q: a) Lin 5) x2+2y2

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Q: A Moving to another question will save this respons Quèstion 1 If y = u - 4 and u = 3x2 + 10 , find…

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Q: 5. Show that b, is always positive, by establishing the equation (Qn-1,Qn-1) (Qn-2,Qn-2) b,

A: We will apply the properties of inner-product to prove the given statement.

Q: 15.f mOT-(27+ 3)', mRT- (9x – 5)" and MRST - (10x-2), find mi.

A: Given,         QT⏜=27x+3° , RT⏜=9x-5° and ∠RST=10x-2° .

Q: If X is a positive number such that : X² – 10X = 9VX Then X – VX = ?

A: given:x2-10x=9xsquaring both the sides:x4-20x3+100x2=81xwe get x=0, x=1, x=19±372.but for the…

Q: Suppose csc(4) =2 where A terminates in QIV, and sec(B) = -3 where B terminates in QII

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Q: Express y as a fiunetion af k if y - 2r+5, 1- V3t -1, and t- 3k - 5.

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Q: 3e dt 10. SET A.

A: We will use the concepts of definite integral

Q: Let X,X2, ,X, be a ranc *(X), = 0*(1– 0)1-x; %3D

A: from above distribution is binomial  f(x)θ=θx(1-θ)1-x  ;0<x<1 E(x)= nθvar(x)=nθ(1-θ)…

Q: In (x²) esin(2r)

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Q: В. a = lass)-(21-1) given that w= In(6x + 2y³ – 3z).

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Q: 2/3 Lal(2x²4). (2x+3 3

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Q: z equals 1 If 1, then וא

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Q: Calculate x - z. (Image 24 JI 8х -2 2x +1 3z z + 22

A: As per the guidelines I am supposed to do the first question among multiple questions. So I am…

Q: 1, z2ー

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Q: 6. Prove: 4 |x – y| 0, then x = y Vx, yER

A: To solve Q.6 Prove: If x-y<ε, ∀ε>0, then x=y ∀x,y∈ℝ If (Given) Then (To prove) ∀ε>0,…

Q: Use linearization to approximate In(1.2).

A: we can use the following formula for approximate calculations: f(x)≈L(x)=f(a)+f′(a)(x−a). where the…

Q: 42. Show that S 4xys + %3D 1- x2 1- y? 1– 22 (1 – a²) (1 – 3²) (1 – 2²) if xy + xx yz = 1

A: Given that  xy+yz+xx=1 Prove that the expression

Q: Let æ² + y² + z² = 3xyz, th = 3ryz, th

A: Given that, x2 + y2 + z2 = 3xyz We have to find (del z)/(del x).

Q: Suppose csc(4) = 2 where A terminates in QIV, and sec(B) = -3 where B terminates in QII %3D

A: Given that                                     we have to find value of…

Q: Let x³ + yª + 8x + 3y = 7. Computeat (2,1)

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Q: 3. f(г, у) 3D In(х +y)

A: The differentiation of  ln x = 1x

Q: It is possible to regress x1 on y. a. True b. Falas

A: From the given dataset we have to check that , is it possible to regress X1 on Y1  or not.

Q: Exp (tr/0.32) MT BF due to tr : (9.6X1018 )x 250x106 x1 fose T 0.3ns - TrE 14:99 N 151(D-flip flop…

A: the first step is MTBF=exptr/0.37n9.6×10-18×250×106×1 given tr=14.99≈15n substitute the values…

Q: 2. Factor x from ax + bx

A: We have to factor x from ax+bx.

Q: 3 4 Evaluate [, S* 2dydx

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Q: S x²(In x)²dx

A: We can solve the integration as below using integration by-parts.

Q: Find du if u = ln (2x4+2)

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Q: -, z) = ( %3D

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Q: 11 ,5 -2d*¨f -2 2 4df

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Q: 8-JIE FCx²_ ye, y-z²) =• then Prove that + Xそ 2Z

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Q: Verify that Jp+1(x) + 2J½(x) – Jp-1(x) = 0

A: We have to prove given result:

Q: the 1) By uing of far 3 deliv ahve 3x at X-2 . %3D

A:

Q: Show that |Aut(Z2 × Z2)| = 6

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Q: 2. Evaluate f'(5) for y = v2x² – 1 hor Ju OIT

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Q: Find ß so that {1, x, 1+ 6x²) on (-1,1) is orthogonal.

A:

Q: 2P 2+ y= since) see' (=?)

A: y=sin(z)sec-1(1+zz2)

Q: EVALUATE S(3sin t - 2cos t) dt

A: Topic = Integration

Q: 5. ) If 3x + 4yi = Z2, what is x + y equal to?

A:

Q: 16 3. Show that for x2 + 2xy - 3y² = 4, y" (x-3y)3

A: We will find y" as following.

Q: dt 7) /2-t

A: 7).∫-∞-2dt/2-t                         = ∫-∞-2(2-t)-1/2dt

Q: Find a number 8 such that if |x – 2| < 8, then |4x – 8| < ɛ, 11) where ɛ %3D 0.01.

A: Ffind the delta