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Q: ds if s = Find dt 7t + 3 ds dt II

A: We have given;

Q: z = If X – y show that: =D0

A: Given: z=xyx-y And x2∂2z∂x2-y2∂2z∂y2=0   As we know that; The Quotient rule; fg'=f'·g-g'·fg2 The…

Q: In Problems 99–106, analyze each polynomial function f

A: f(x)=x3+0.2x2-1.5876x-0.31752

Q: Let xn ≥ 0 for all n ∈ N. (a) If (xn) → 0, show that (√xn) → 0. (b) If (xn) → x, show that (√xn)…

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Q: 8. Given that (2x-x*); 0<x<2, S(x) = ; elsewhere. a) Calculate E(X), E(X²) and E 2- X

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Q: If f(z, y) – e . In(9y) , then fz is given by: O - 9e In(9y) o - 27 e In(9y) O 9 e In(9y) O 27 e…

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Q: 2. If w = f(x + ct) + g(x- ct) show that c²wxx = Wtt C= constant.

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Q: (3) Let X = n(µ,4) and Var(2x) = E(4-7x) find u.

A: Given,X~n(μ , 4)

Q: 2.If alb and alc then al Cbx tcy) for all X>YEZ.

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Q: If vx 2 0, the the condition on |x – 9| that will assure that |Vã – 3| < 3.10-2 is: O ]x – 9| <…

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Q: If x'8, 18 = y" 12 18 = Z ', prove that 3,3 log, x, 3log, y,7 log, z from an A.P. %3D

A: Given:-  If x18=y12=z18,  To Prove:-   3logyx, 3logzy, 7logxz from an A.P.

Q: 1. Find for y = In () (A)+ 1 3x-2 X-1 1 x-1-x2 (B) x2 - -- x-1 x (х-1) x2 x2(x-1) x-1 1 X-2 (D) (E )…

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Q: let y = 3 x2 + In x - ex find y' O 6x + (1/x) + ex O 6x-(1/x) - eX O 6x +1 + ex O none of the above

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Q: 3. If f(x, y, z)= In xyz te(3.0²), find f,,f, and f-· 4

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Q: Prove that E, k2* = (n – 1)2"+1 +2 for all n > 1. =D1

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Q: S eln (1-t) 1-t - dt ed to you in any form

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

A: As per the company's rule, we are supposed to solve one problem or three subparts. As there are two…

Q: If f:(0,∞)→Rf:(0,∞)→R is defined by f(x)=xln(2x)f(x)=xln⁡(2x) for every x∈(0,∞),x∈(0,∞),  then…

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Q: HW klx) = 2x+5 ㄱ 1. Find ke-¹(x) 2. Prove by kokorklok

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Q: Suppose z = 1+ li. Then |z| =?

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Q: Suppose we observe X1, X2, ..., X U (0, 1). Show that nX(1) 4 Exp(1). с.

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Q: The characteristic of Z3[x] is 6. a) True b) False

A: Determine whether the given statement is true or false.

Q: Show that g(t) = t2tant takes on the value ½ for some t in [ 0 , π/4 ].

A: gt=t2tant on the interval 0, π4. When t=0, g0=02tan0=0 When t=π4, gπ4=π42tanπ4=π2161=π216=0.6168

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: Consider the following LP Min z = 3x, + 2.x, +7x, s.t - x, + X, =10 -2x, + x, - x, <-10 *,X,,x, 2 0…

A: Hi! As per norms, we will be answering the first question. If you need an answer to others then…

Q: 2. Let G = Z,xZ4, and find [G:H] for: a) H = {0}xZ4. %3D

A: We have to find [G:H]

Q: Given x (0) -2,x (1) =1, x (2) =2 evaluate X(k) by using DFT.

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Q: Let X~N (6,2) and P(X>a)= 0,3 Find a?

A: GivenX~N(6,2)Mean(μ)=6standard deviation(σ)=2

Q: Consider the following LP Min z = 3x, + 2x, +7x, s.t - x, + x, = 10 -2x, + x, – x, <-10 1 Solve the…

A: Given, Min Z=3x1+2x2+7x3s.t,                    -x1+x2           =10              -2x1+x2-x3≤-10 The…

Q: Suppose E(X)=2, E(Y)=4, E(Z)=10. X, Y, Z are dependent. What is E(2X+3Y+Z)? Can not compute with…

A: Given,E(X)=2E(Y)=4E(Z)=10X,Y ,Z are dependent

Q: FOR N=195, by fermat's theorem an-2 =

A: Given: FOR N=195, by Fermat's theorem an-2

Q: 10. Show that S t2 if 0 1, 2(1 - e-) then Ldf %3D

A: Laplace of differential equation.

Q: 4 Evaluate f, S, 6xy² dydx

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Q: Prove that x" dx „n+1 + C, n + 1 for n + -1.

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Q: HW KLX) = 2x+5 7 -1. Find ke-²¹ (x) 2. Prove by kok orklok

A: Let's find inverse function.

Q: If X~N(0,1) then X2~

A: In question,  Given that X~N(0,1). Then we'll find the distribution of X2. he solution is below,

Q: Suppose thát the captain of a ship that is in distress must send a

A: sollution is given below:

Q: 1. Let x (x,) E l. Find x if 11-- a. x = 2 %3D

A: This is a question of functional analysis in lp space.

Q: If z3 + In(e 2 -2 e+e) = 0 az find at the point (0,0) O -3 0 3 О-2 O 2

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Q: Let z=xin(x2+y²-eª)-162xy, x=te°, y=et. If the value of when s=2 and t=1 is equal to Ae?+Be", then…

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Q: 26. If z = In(x² +y²), find x- ду Əx A) х с) у в) х-у D) 0

A: If z=ln(x2+y2), We need to find x∂z∂y-y∂z∂x.

Q: x | X> 3) =? and E [X | X> 3] =?

A: X ∼ exp (λ)  having pdf  f(x)=λe-λx      x&lt;0

Q: Determine s' (x) ifs (x) = x-7 + e-8a O s'(x)=x6 - e-8x O s'(x) = -7x-8 - e-8x-1 O s'(x) = -7x-8 -…

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Q: Write equation for each ellipse

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Q: Suppose that X ~ Unif(-1,1). Compute (d) P(X = 0.5), (e) P(X² > 0.5).

A: Let ,  The pdf of X is ,  = 0 ; otherwise Our aim is to find the following :  d) P(X=0.5) e)…

Q: 1 If w = f(x, y) = x²y+ \y, then ƒ(÷,x“) is .. 1. O 2x2 2. O 1 3. O 4. O x4 +

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Q: 4/5elve R(X)= X-2X-5 Using secant e thed, Cerreet apto 2 decimal plases.

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Q: find the general for al soluh'an 3yC3) (e)

A: The given differential equation, y(4)+3y(3)+3y(2)+y'=0