Let D be a digraph. Show that d (v) = _P = m, where m is the size of D. vɛV

Q: Say whether the Runction is even, odd, or neither. Give reasans for your dnswer. 4 ga) = x"+ x-1

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Q: Which of th fter situat D a. Ogive b. Histog C. Pie chan

A: histogram is a representation of the data in a bar like form that buckets the data on the x axis it…

Q: show that }I f,lm) Ck-m) 2.

A: For, ∑m=0kf1mf2k-m, substitute k-m=n or m=k-n: ∑m=0kf1mf2k-m=∑k-n=0kf1k-nf2k-k-n…

Q: If M= :), then find the value of k such that M2 + 21 = kM

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Q: a, Find at2

A: Given :…

Q: Given a 2 0 and b > 0, let u = a and v = Vab Use the Cauchy-Schwarz inequality to compare the…

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Q: e Consider the Jollowing fundion. 2= 50x+4, Find the values of d2. az, uwhen oe = 2 and y: 3.

A: Consider the function: z=5x+yx+2y To apply quotient rule of derivatives differentiate the given…

Q: Find proj, u and scal, u by inspection without using formulas. proj, u = OD

A: Vector and scalar projection

Q: Find the value of c such that enc = 5 n= 0 C =

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Q: Find the pmf p(x) of X, the number of casts needed to obtain that first six.

A: Let x be the number of times die thrown until 6 appears. Probability that 6 appears on top is 1/6…

Q: Let j = 7 and U=span(ü), with ü = -6. Write j = ã1+ã2, where 1 in U and az in U-.

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Q: What is the dimension of P,?

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Q: 4. Let A Sketch the collection of points Ar for i in the unit square.

A: Let A=1101. Sketch collection of points Ax¯ for x¯ in the unit square. Matrices maps a polygon to a…

Q: Let T ∼ Γ(r, λ). If μT = 8 and r = 16, find λ and σ².

A: It is given that, The value of λ is, Thus, the value of λ is 2.

Q: Find the Re and Im parts of exp(z?)

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Q: Let d1, 82 E R such that 0 < d2 < 82. Show that the d1-ball B(p, 81) is a subset of 52-ball B(p,…

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Q: Let _X=R². Find M² if M= {(a,1)}.

A: Given that, Let X=R2 Find M⊥ if M=a,1.

Q: nt the trees in a row, assuming that the trees are evenly spaced? e trees can be planted in…

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Q: If A' = g;a,rsys , Yi = birx, , and a;,b,j = dij. Find A' in terms of the x,

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Q: Write a paragraph proof to show that ZABF is complementary to ZEBD. F D. A B

A: Fiɡure in which ∠ABF= x°, ∠FBE = x°, ∠EBD=y°, ∠DBC=y° To write a paragraph proof to show that ∠ABF…

Q: A The eineulafion of the vetere fiels Fu*,P| along the beudary of Hle sefn-{xy)cr2:0LYL8,-8172X44R…

A: The answer is 88.

Q: In ALMN, ZM = ZL, LM = 7 and NL = 16. Find the length of ΜN.

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Q: Assume that AD is the geometric mean of BD and DC in AABC shown in the accompanying drawing. a) Find…

A: To find AD and BD.

Q: 5. If A e U(n) and A e C has length one, show that XA € U(n) .

A: If  A∈∪n and  λ∈ C  has  length one,show that λ A∈∪n.

Q: Let R = (6, 5). Calculate the length of OR. ||OR||

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Q: Let X ∼ Geom(p), let n be a non-negative integer, and let Y ∼ Bin(n, p). Show that P(X = n) =…

A: From the given information, Consider, X,Y are to be two random variable where x follows geometric…

Q: Faph the follov inates of the in .2

A: As per the bartleby guidelines for more than one part only one has to be solved . Please upload the…

Q: Find the norm ||A||. of each o

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Q: Please asssit with value for ****,*****, ****** a

A: Hello! As you have posted more than 3 sub parts, we are answering the first 3 sub-parts.  In case…

Q: Convert the following problenm to the dual fom Ond set the talaleau up minimize Where 42=0 2>こ○…

A: Given the LPP          Minimize C=12x+4y+17z          subject to 3x-5y+12z≥17…

Q: Use the diagram shown. В C 主 G 丰 Which is a needed step to prove that AABF EAEDG

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Q: If-fa x> Find aud the foloming Find and SlaphAy the Following FCW-2)

A: Given that: f(x)=x+7

Q: Show a Check for each. In othe 4) Find a. / (z + 4) dz

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: 20. Find the value of z if ST is the midsegment of AEFG. Sr-2 %23

A: To find the value of x

Q: The table bekow gives the shortest ime in minules that t akes to travel between dimerent locations…

A: In the problem we are given with the points up to which both can travel and the time taken by both…

Q: A= Find a portia lar soltPon of the syatem with

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Q: Let T ∼ Γ(r, λ). If μT = 8 and σ²T = 16, find r and λ.

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Q: EvalWate the in tegrol by chonging to aylindkrkal Cuordingtes. 8-x2 ,9-x2y2 3 Vx? tya dzdydx. -3 0

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Q: Let K = Span{ t-t, 1+3t}, then dim K = %3D

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Q: Let A=[t, t?,0]and B=[1 , t² , 0] and C=[2,t³ , 1] find (ABC)`

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Q: Let x=1149, power=913 and m=2537. For, a, = find x and power. %3D 1149 and 1433 913 and 1433 1149…

A: 1149 and 913

Q: Find A' for the given choice of U. If A={positive integers}, U=Z

A: We want to find  A' for the given choice of U. If A={positive integers}, U=Z

Q: Assume C and D are chosen at random from {1,2...,n}. Let pn be the probability that C + D is a…

A: The number of pairs (c,d)  with sum m2 is m2-1 for m2≤n and 2n-m2+1 for n&lt;m2&lt;2n. Hence,…

Q: Find the projection o

A: Introduction: The formula of projection of vector u onto the subspace  w spanned by (x,y) is given…

Q: Let A EMn (R) be given. If 11x11 = 11yll = 1 and x •y = 1, show that x=y

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Q: bet T be the relctiom an Axa olfined oy (Xı4) T(Ziwl iff xy=ZLW. Axa oifined oy Dine that T is an…

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Q: Find all values of a, b, and c for which A is symmetric,

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Q: Find the span (S) of the following R³. State whether S is linear in

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Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.