Let A ={ 2,3,4 } and B = { 5,1,7 }. Α) Find (Σα (Σb) B) Find Σa?b -1

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A: Given points : P1= (3,-4)  and P2 = (-2,1)

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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: a) How many arrangements of "MATHEMATICS" are possible when 'H' immediately follows one of the 'T's,…

A: a)  Given : Total number of words =11 A repeated 2 times M repeated 2 times  T repeated 2 times…

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Q: (d) Illustrate the other De Morgan's law by selecting the region(s) corresponding to (A N B)° on one…

A: De Morgan's laws are a pair of transformation rules that are both valid rules of inference.

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Q: (a) Find x, y for the following

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Q: Let i = i +2j+3k , Find e so that ||c|| = 3.

A: As we know that; The property of scalar multiplication of a vector ka→=ka→ Given: u→=i→+2j→+3k→

Q: 2. Find the fi K(x, t)

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Q: Find E, 28 + 12(k – 2). uk%3D1 7,392 2,800 2,342 3,696 1,848 а. b. C. d. е.

A: Consider ∑k=12428+12(k-2) = ∑k=12428+∑k=12412(k-2)= 28∑k=1241+12∑k=124(k-2)=…

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Q: メ (myst メート→ Q(2,4) where: Path C くz rom ○)と to over the Evaluate the

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Q: (a) Let U~ uniform[0, 2], and let U S= Se Find (i) E[S], (ii) P(S≥ 0.5). (b) Repeat (a) if U~ exp(2)…

A: Given: S= ∫0Ue-sds

Q: V ) and A, p 0, and e0. Show that then I',AF0.

A: In the given question  given that γ l=(φ∨ψ) , ∆,φl=θ and and also ψl=θ then we have to prove that…

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A: Given: S = {-2, 3} ∪{4, 5}   To find:  The largest possible value of ε &gt; 0

Q: : Given a r.v. *=4 3,4,5,then af y= 3x-2, then find ECY), VY) and MCE). Sも), ......

A: Solution

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Q: If Cov(Xm, Xn) = mn − (m + n), find Cov(X1 + X2, X3 + X4).

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Q: 5. Prove that if A and B are similar then dim(ker(A)) = dim(ker(B)).

A: We have to prove dim(ker(A)) = dim(ker(B)).

Q: 2, z) = 5 and the surfac e at (1,2,3). Evaluate = reasons).

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Q: Find w, x, y, and z so that W X 4 3 8 -3 2 4 -4 |

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Q: X1,, Xn ~ N(-3,2) (random variables) ... Z, = 1(X,X2 + X1X3 + X1X4 + •..+ X1X„), n > 3 %3D (a) Find…

A: From the given information, X1, .....,Xn~N-3,2 And Zn=1nX1X2+X1X3+...+X1Xn, n≥3 Consider,…

Q: АР 1. Find the point P such that - АВ = r, where A(4,3, –2), B(-5,0,4) and r = NIM

A: As per bartleby guidelines, I can answer only one question. So, please repost the other two…

Q: 33. a. Show that for the Sheffer stroke |, PAQ = (P|Q)|(P|Q). b. Use the results of Example 2.4.7…

A: The Sheffer Stroke function | is defined as, P|Q=~P∧Q To prove- P∧Q≡(P|Q)|(P|Q) Taking  the R.H.S…

Q: @S. Let fGJ = 12 Find fla)=

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Q: Suppose A E C such that A(2 + i, 3 – i) = (5 – i,7 – 5i). Then (1) A = (1 – i) (2) A = (2 – i)

A: Given that: 1. λ∈C, λ(2+i, 3-i)=(5-i, 7-5i)   NOTE: As per our answering guidelines, we can only…

Q: Find an explicit formula for s, if so = 1 and %3D Sn =2+2s0 + 2s1 +... +2s, 2+ Sn-1, Vn >1.

A: Generating Functions for a sequence a0, a1,a2,………an,……………… is an infinite series of the form ,…

Q: (a) find the orthogonal complement S⊥, and (b) find the direct sum S⊕S⊥.

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Q: 5,t2 %3D as t= 5, 1, = 8. Find t

A: The nth term of the Arithmetic sequence is given by tn Therefore tn=t1+n-1d where t1is the first…

Q: a) If Z1 = -3 + 3i and Z2 = 4i. Show that: i) Arg(Z,Z2) + Arg(Z,) + Arg(Z2) ii) Arg (2) = Arg(Z,) –…

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Q: Match these values of r with the accompanying​ scatterplots: 0.704​, −0.998​, 0.998​, 1​, and 0.348.

A: The given scatterplots show the correlation between x and y.

Q: Find v−w​, if v ​= −3i +6j and w ​=-5i+5j IIvII-IIwII=?

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Q: Part Iū Proue that if 4aj + 5 b; a;za and bj then Hat 5b

A: I am providing the solution of part (IV) below.

Q: 6. Find Ar for A = and z= Az =

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Q: The covariance of X1 and Xzis defined by cov(X, X,) .A .B E[(x, -x,)=] .C E[(x, - x,)] .D

A: Option D is correct.

Q: Given z=4+5i, What is arg z ? 0.896+2k T, k = ±1,±2,... 0.896– 2KTT, k= 0, ± 1, ±2,... -0.896 + 2k…

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Q: Let W= Span{2+², 6+t²}, then dim W= Select one: a. None of these b. 2 С. 1 d. o

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Q: (a) Let r(t) = ti+tej+fk. Find ((1),4 × (?),1) - (1)a tuj

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Q: H.w ) find the generated af: ty, 7s7z and Zg

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Q: 3. s|| t, m/1= (3x – 6)°, mZ2=(5x + 2y)°, m23 = (x + y +6)°; Find x, y, and the measures of 21, 22,…

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Q: k and Ĉ = к апd rs along the a ICorteeion

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Q: If we know P(X = i) = 2/3n2 , i = 1, 2, ..., 6 then E(X) would be?

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Q: Iff = xi + yj + zk, F| =r,and i =, then show that grad -)

A: r = (x2 + y2 + z2) 1/2 . Then, we have to calculate the grad( 1/r ).

Q: given a//b//c  and Bis the mid point of AC.  AB= 2x+3 BC= x+7 DE= 3x+2 Find EF.

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Q: (6) If u, = x-Pa(x)Pn-1(x) dx, show that nu, + (n – 1)u,-1 = 2, | and hence evaluate u.

A: To get the desired result first we will the recurrence formula for pn(x). Then after simplification…

Q: ii) Given Z, = -1 + iv3 and Z, = -v3 + i, show that In (Z,.Z2) # InZ, + InZ2

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Q: a b be suc b |, then t

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Q: Hw/O Find Adi A if A. O kind Adj A il A=

A: (1). The given matrix is:  A=521  314  463