17. Given: FG || KL, FG = KL Prove: AFGK = AKLF

Q: B. Prove each item (Item 3 & 4) of the following by constructing a proof by element arguments 3.…

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Q: Let X-(1,0,-1,-V2)'. Then, |X|l2= Select one: a. 2 b. 1 C. 3

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Q: let x~ exp0), find B.C.R to test Ho: O3 against H,: 0 2,if4, ds o.05,

A: Exponential distribution: Here, X1, X2,,…, Xn, are iid (independent and identically distributed)…

Q: 7. Let B be the unit ball. Evaluate dxdydz √2+x²+y²+z²* Show the work!

A: We have to find the value of ∫∫∫Bdxdydz2+x2+y2+z2, where B is an unit ball.

Q: Give the condition which ensure that Je-| < 1 where z E C.

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Q: Suppose n E N and u, v € V₁ such that |u| = 5, |v|= 4 and u⚫v=-7 Find |3u + v. Find t R such that u…

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Q: O show that 2. I| a+ V 1= 11 + 1i if and only if ū. ů =0 %3D

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Q: Prove both sides equal πU (PN ₂) = (π Up) N (π UV).

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Q: es New Let x, = 1 ,x, = 2, f(1) = a, ƒ (2) = 2a, Q11(0.5) = 3. Then a = Select one: а. 7 b. 4 с. 6…

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Q: Q2) Let f(x) = [x²/3]. Find f(S) if a) S = {-2, –1, 0, 1, 2, 3). b) S = {0, 1, 2, 3, 4, 5). c) S =…

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Q: 6. Given : 23 24, RT ST 3. Prove: HR ES 2. R

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Q: W Let z = x₁ + iy₁ and w = x2 + iy2. Prove = e²-w ew

A: ex × ey  = ex+y  e-x = 1/ex

Q: If m and n are positive integers and w = g(x"y"), then show that dw dw = my dy

A: Given w=g(xmyn).

Q: S 289 xe

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Q: as Let ĝ +sinh (z?) - ji = 27 where w=f (x,y,2)- %3D Find 2 nd JW and au

A: In the given question we have to find the partial derivatives of with respect to x ,y and z. here we…

Q: Show that for all v in Rn, llvllE&lt;= √nllvll m·

A: we have to prove the inequality: we know that, We start with the definition of the Euclidean norm of…

Q: sst. Let f(x, y, z) = x³ yª + zª and x = s5, y = st³, and z = s

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Q: If P(A/B) = 0, then A &B are: Select one: a. Mutually exclusive b. ACB с. ВС А d. Independent

A: There are two events A and B such that PA|B=0 PA|B=PA∩BPB=0 Therefore it follows that PA∩B=0

Q: S 1.Prove that L (coswt): %| s2 +w2

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Q: Queston #o 4 Show that X, Ixe, where x, and Xe E IR X= (1,1,1, -1) Xz = (4,2,2, -1) %3D

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Q: Let f(x) = VT, 9(x) = ,. , andh(x) = x². (h o ((h o go f) – f)) (4) = %3D 5-x Select one: a. 4. 81…

A: let f(x) = x , g (x) = 45-x and h (x) = x2f (4) = 4= 2g (f(4) = g2= 45-2= 43h (g(f(4)) = h 43=…

Q: Let f(x) ={ 2+ Vex-x , for os x 2 } 2 4 evaluate fCx) dx and I f6) dx

A: Given piece wise function as, f(x) = 2+2x-x2    for  0≤x≤24-x                  for  x &gt;2we need…

Q: Find Pr (|w| < 0.2)  where W ~ N (-1,4)

A: From the given information, W follows normal distribution with mean µ=-1 and variance σ2=4.

Q: Let A = {m CZ/m = 4k+8} where k CZ, and let B = {n CZ/n=2r + 2} where r CZ. Show |A| = |B

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Q: A₁ Let 2 + sinh (2²) - ₁₁ = 27 where w = f (x, y, z)- 1 पुर Find aw дх Jw and Iw > zw. ay dz 3/20

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Q: cothiz-l=eschz

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Q: Q: Let z = -4 V3 – 4 i %3D A/ Find the following : 1) Iz| 2) arg (z)

A: Since you have posted multiple questions but according guidelines, we will solve first question for…

Q: Given, F = x²yî – 2xzj + 2yzk. Find V × (V × F)

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Q: Let f(x, y) = x for y=0 and 0 for y+0. Evaluate each of the following or if they do not exist, state…

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Q: [2 1] Q2) Assume A = |1 3 .3 4] 2 4 1 and B = l show that (AB)' = B' A' 13 6 4] [

A: Here, it is given that  A=211334 and B=241364. We need to show that (AB)'=B'A'

Q: Let f(x)= x+1, find all xeR such that f[f(x)]=2 the solution set is: а. у%3D0. b. y=x. с. у#х. d.…

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Q: If S:= {1/n - 1/m²n,mEN }, find inf Sand sup S.

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Q: that uni, o wthat (h) 3.

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Q: APle the graph of fra) if fe0= ) ord

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Q: [2 1] 1 3 l3 4] 4 Q2) Assume A %3D and B show that (AB)' = B' A' 6. %3D

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