11. Given: WX||YZ; XY||ZW Statements Reasons Prove: AWXY = AYZW Y 3. Z. W

Q: Hw. Determine t posdise red nd d. Sinx a x 2 In(X):07, de. os, Xa. 2, 3-tealion by e position fndla)…

A: NOTE:- By bartleby rules, only question (1) is answered

Q: suppos e fx(x)= 22 , o<x<77, and y = sinz . find fyld) and Fyl4) -

A: As per the question, we are given a probability distribution function (PDF) as : fx(x) = 2x/π2  for…

Q: 3. Let f(x, y) = zsin ry. Find: (a) f(x, y) (b) f(x,y) (c) Syy(x, y) (d) fyz(x, y)

A: Given function is f(x, y) = x sin(xy)

Q: 18.8. (a). Let y be the contour z = e", - TOST traversed in the %3D positive direction. Show that,…

A: To solve the given question we shall use the following formula: Cauchy integral Formula: Let C be a…

Q: Find the value for x. ABCD - JKLH A D X = 5 Submit Question B 4 C H L 3x + 2 J 4x + 2 K

A: Given that the rectangle ABCD~JKLH. Find the value of x.         A rectangle is shape having four…

Q: Calculate , if xyz Ax, y,2) = x² – x²y³ -2 3 = x -x y -Z A.5 1 C. No one correct. В. D. E. 7 Е.

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Q: 1 e x² + y² + 2² dv₁ v ¡dV, where E = {(x, y, z) | 1 ≤ x² + y² + z² ≤ 4}. 6. Evaluate

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Q: Given f(x, y) = = fx (x, y) = fy(x, y) = fxx (x, y) = fay(x, y) = − x5 + 4x²y² − 6y6, find

A: The objective is to solve the above question.

Q: 19. Evaluate 2 2+x2+x+y SS S f(x,y,z) dzdydx where f(x,y,z)=4. 0 0 0 Answer: 112

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Q: Evaluate Va? + y? dA where R= {(x, y)|1< x² + y² < 4}. 4.

A: We will convert this into polar coordinate so it will easy to calculate this We consider…

Q: 2. If z = x° In 2.xy, find at 1,-

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Q: 1. Lif f(x,y,2)=2exp(-5xyz)cos(15z) Find ôxôz

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Q: 2 and y = If x:y:z 4:6:9 and z = 45, then x =

A: Given:          x:y:z=4:6:9     and   z=45To…

Q: 0< x < 1, 0 <y < 1, 0<Z, 1 a.) Find P(x<0.5) b.) Find P ( x < 0.5 on 4 (0.8) c.) Find P(x<0.8, 850.9…

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Q: 25. Which of the following is the answer for secx = V2 A. E + 2nk|k E Z}U {+ 2rnk|k € Z} 3 B. G+…

A: We will solve the problem

Q: BLet f sohisfies the following data 3. 2. 2. Use Muller's mc th od to fnd a, st

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Q: Let f(x, y) = x(y - 3) and F = Vf. If r = with 0 ≤ t ≤ 2, then [F. dr is equal to: a. -7 b. -11 c.…

A: We find the line integral in the following way

Q: -Prove that 2x² - 8x = 22 has at least one soution on the interval IVT. [5,10] by using

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Q: 5. Prove that |xy| = |x|-|y| for x, y eR.

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Q: Which of the following is the true match for cartesian equation and the corresponding parametric…

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Q: is harmo Q4) Find the result of the following: Find z for Inz = 1-in? 1. 2. I (7/2) =? (Gamma…

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Q: Ex let x be with pmf 1=,2,3, 16 O find c P(X)2)

A: We want to find the value of c and P(X≥2) and P(X2=9)= ?

Q: (1) 11 - || If y is such that ry = ds, then snow that : d²p dy² + d²p 2 dụ² (ii) %₁ 1 - 1 - O p+ Rp…

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Q: u = 3, o2 = 9, P(-6 < X<12) a. Determine P(u – ko < X<u+ ko) 1 - 1/k?

A: According to the Chebyshev's theorem, 1-(1/k²) of the observation fall within k standard deviation…

Q: a.s. Let X, X, E|X,| < x, E|X| < x, and EX, → EX. Prove that E|X, - X| → 0. (Hint: dominate the…

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Q: If f(x, y, z) = xy + z?x - 3yx z?, find fxy ?

A: If fx,y,z=xy+z2x-3yx2z2 Find fxy ?

Q: 3. Express the following in terms of z] and Zz: (a) z* (b) 1/z (c) Re{z} (d) Im{z}

A: In this question, we have to express the following in terms of z and ∠z :  (a) z* (b) 1z (c) Rez (d)…

Q: Exercise 2.* Let f(z) = sin(3z) z (z-n) and C: |z – 9| = 1. Then S. f(z)dz = a. 0 b. 2ni C. 9 d.…

A: Use the Cauchy theorem of integration.

Q: A. Using Mean Value Theorem prove that sin r– sin y| <|r-y for all I,y € R.

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Q: o find for: y = sin(x") + 2* +n

A: Given,          y=sinxx+2x+π

Q: sin(3z) Let f(z) = and C: |z – 9| = 1. Then ſ. f(z)dz = %3D z?(z-n) a. 0 b. 2ni с. 9 d. None of the…

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Q: If fuf fuare difla Veubableat XoeI n prove thacd Cfisfa fu) isclifferantiable at vo aucde.

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Q: Let x, y range over N and define Q(y): 3x. x < Y. Choose all the values for y such that Q(y) is…

A: We know that set of natural number is {1,2, 3,4,5,6,7,.......}