4.Suppose f >,0 and fdu = こ0 Prove that u({wif(w) +o}) we say f=0 almost こ0 tveryuhere (a.c.) with respect to M.

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

A:

Q: U is the set of the numbers on a 6-sided die and B is the set of numbers on a 6-sided die that are…

A: Given If U is the set of the numbers on a 6-sided die and B is the set of numbers on a 6-sided die…

Q: (a) the boy con only make UP pnd Right moves anly he de food? the How many parths (b) If he mandemly…

A: We will use basic logic to answer both parts. Note that in the question post, only two parts named…

Q: (c) P(\X| > 3) (d) P(|X – 5| > 3)

A: We have given that.   X~N( μ , ?^2 )   μ=5 , ? =1   Z-score =( x - μ )/?

Q: If =x+3y-z,=4xyz, w=22 -xy evabuate d(u, v,w)/ (, 2). at (1-,0).

A: We have to first find all partial derivatives.

Q: QUESTION 5 3-1 The valun uf s of fox)- in the interval (1,0 such that f- 31-N) OA 3 OB. 3. В. OC 3…

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Q: 3. Use C.P. or I.P. or both to construct proofs for the following (= Unit 9 -plus the rules from…

A: The venturi meter is a device used to measure the flow rate of a fluid flowing through a pipe.…

Q: a---x (4-3*)hasjust one maimum and one minim um Show that | a- a value . Show also that the…

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Q: 8. The (2*+1 – 2k) = %3D k=0

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Q: P(X=x) 0,10 0,20 0,30 0,40 P(3 < X S4 )= ??? O A) 0,10 O B) 0,40 C) 0,30 O D) 0,50 XN34 5

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Q: Suppose ū = 2j + k, ū = 2i – 4j + 2k and w = -5i – j+ k. %3D Compute the following values:

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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: 12 y 2 4xy³z² 4877

A: formula used  xa×xb=xa+blet  A=12x4y8z74xy3z2

Q: 6. Let F = (-6, 5)U{-10, 10} U [7, 11). Find max F, min F, sup F, and inf F if they exist.

A:

Q: Verify the &-ô identity: Ejkɛipq = djpôkq – djqðkp. Then use this identity to show that (a) EilmƐjlm…

A: The given identity is εijk εipq=δjp δkq-δjq δkp  where the εijk is called the alternating tensor or…

Q: 11. Given /(r)-V1-2, fnd onctions /and g so that. /(r) (/o9)(r).

A: Here, we must express H(x) as a composition of two functions. This can be done in multiple ways. One…

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

A:

Q: COSZ 2) if Res(f,x) of the function f(2)=- a) -3/8 b) #-6 2ti c) 1/e d) 8/5 -is

A: To find Resf, π of the function fz=cos zz2 z-π3.

Q: 5. Let F= [3,2,1] and r= [2,1,–3]. Compute the following: %3D a) Proj „F. b) Orth rF = F – Proj „F.…

A: We know that  ProjrF=r.F∥r∥2r Now, r.F=23+12-31=5 ∥r∥2=r,r        =2,1,-3,2,1,-3        =22+11-3-3…

Q: If w(f.9) = , then w(s.S+9) = (A) (B) - (C) 22 (D) -22 (E) None

A: Ans:- If w(f,g)=x2, then we have to find the value of w(f,f+g).

Q: Given that x>0 and y>0 proof that xy>0. (x,y are integers)

A: Given that x&gt;0 and y&gt;0, then to prove that xy&gt;0. x, y are integers.

Q: n(A u B) = n(A) + n(B) – n(An B) A) True B) False

A: Verify whether nA∪B=nA+nB-nA∩B is true or false as shown below.

Q: Use implicit differentiation to find an equation of the tangent line to the CUNE at the X²y² = (x +…

A: The equation of tangent to the curve y=f(x) at point (x1,y1) is given by(y-y1)=dydxat…

Q: Let X N(10, 23). Then P( X< 10) = %3D

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Q: find X(Z) if X (K) = (₂₁) K X(Z) = { X(K) Z-k k=0 K=13,5

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Q: for ne J, x is a (1-x)(1+x+x²+.. + x^²) = 1=x^²+₁ variable, prove that

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Q: As PQR in sicle Circl x²+4=25 Such that & & Rone (3,4) 8(-4,3) fmd <Q PR?

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Q: A³ f2 = V³ fs 3

A:

Q: 1(42). M = "+ x/F + 78 +1=24 S

A: According to answering guidlines we are doing first question if one or more question given

Q: 4n Prove supz : nE N

A:

Q: Q3) Assume A = [4 16 3 11 7 21 [3 21 and B = 1 5 (3 14 3 show that (AB)' = B' A'

A: Given, A=431672B=321543

Q: Q.12. Find the value of coefficents ab ande that the fo)a -5, f'6) = -M. fou = ae-2u t bek + ocex.…

A: The solution is given as

Q: 3. Use C.P. or I.P. or both to construct proofs for the following (= Unit 9 -plus the rules from…

A: Step 1:To solve these logical proofs using Conditional Proof (C.P.) or Indirect Proof (I.P.), we'll…

Q: (p→9）A（g→r） a) tautologies c) contraction b) not one of the previous answers

A: Tautology (a): A tautology is a statement that is always true regardless of the truth values of its…

Q: Q-12)-for the model below Max z=10X1+5X2 st 4X1+2X2540 3X1+3X25 30 X12 0, X2 20 MAX Z=- O 75 O 100…

A: Linear programming. Graphical method