[-8] Let v1 = 6 ,v2 =| 4 ,V3 = 8, and p =| 1 Determine if p is in Col A , where A= [v, v2 vz]. (a) (b) Is p in Null A?

Q: Suppose P(A) = 0.24 and P(B’ ) = 0.48   (a) Find P(A ∪ B) if A and B are independent. (b) Find…

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Q: Evaluate (Vx+ f. d dx. OA. A. Vx2 + 2 + a² - a In + C O B. Vx2 + a² - In |x| C. Vx2 • a? + In- + C…

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Q: then -A U= 4 5 and uTu · [

A: The given matrix

Q: pYq (pA-q) V (-p ^ q) Show that each of the following holds. a. p ≤ p = 0 b. pvp = I

A: Let's prove each of these statements: (a):  To show p⊽p≡0: We'll first express p⊽p using the…

Q: The Range of y = [2x + 1] is Z, T O F

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Q: Letfandgbetwomultiplicativefunctionsand∈S.Wehavef◦(g◦F)= (fg)◦F.

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Q: 3. Show Dat where re frenction s Centinueas? X+ y+2-H

A: In the given question we have to check that where the function is continuous or not and the given…

Q: 2. - q + (q Ap) ~q (q p) T F F T F F 2

A: We have to find the truth table for given statement.

Q: . Show that p(X) = XP-1 +... +X +1 when p is prime.

A: For every integer n≥1, the nth cyclotomic polynomial Φn is the monic polynomial whose complex roots…

Q: ΡΙΟ R (PAQ) V (R) P⇒ (RV (¬Q)) −((Q ^ R) ⇒ ((¬R) ^ P))| Q ⇒ ((¬R) ⇒ P) T T T T T F T F T T F F F T T…

A: First, find the requirements to compute the table. P Q R ¬R ¬Q P∧Q Q∧R R∨¬Q ¬R⇒P ¬R∧P T T T F F…

Q: _1. Differentiate the following w.r.to x (i) V(x? + 1)3 .3,-2x (ii) + In (3x + 1)

A: Using derivative ,

Q: Let a bc A= d ef g hi Assuming that det(A) = – 7, find a) Det(2A) b) Det(A´') c) Det(3A') d)…

A: Given that: A=abcdefghiand det(A)=-7

Q: Find the midpoint of (6, 7) and (14, 11). O (7, 18) О 20, 18) О 10, 10) (10, 9)

A: given points :(x1,y1)=( 6,7)(x2,y2)=(14,11) Midpoint = x1+x22,y1+y22

Q: a(k) = eak coshw.k coshw, k ewok te-wok 2 eak coshw.k eak ewokteake-wok 2 X(Z) 3D글 z(enk e.k) + 글…

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Q: Provide an interpretation which is true and one that is false. (∃ x)(P(x,b))

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Q: Let X=(1,0, – 1, - /2)'. Then, ||X||, =| Select one: а. -1- V3 b. -V3 O C. 2 +/2 d. -V2

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Q: Suppose that a = xdy is a 1 form and Y(v1, v2, v3) = ((v1 – v3)² (v2 – v3)²) ædy what is "a ?

A: Given α=xdy-----(i)γ(v1,v2,v3)=((v1-v3)2,(v2-v3)2)---(ii) To find γ*α------(iii) from (ii) we…

Q: es (or+.1). COS Using P, (x), eshimate cas

A: In the question it is provided a function fi=cosπ+i The objective is to estimate the above function…

Q: Use with (8'e) (-2,) (7,1)

A: Given query is to find indicated vector operation.

Q: Construct the truch table for (pq) (rs)

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

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Q: Given R = a) b) 24 15 and S = 2STR 5R+S-(2STR)T 1 3 15 Find

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Q: Show validity: Vxр (х, f (x)). Vx3yp(x, y)

A: Please check the answer in next step

Q: let x be have P.dif 0 < x <3 f(x)= ={th find The U.b. of P(IX-M73) and find The L. b.

A: Please see below

Q: I dont understand how we go from P(B) = P(A) + P(B ∩ A') to P(B) ≥ P(A)

A: A,B  belongs to F  We have to prove that If A ⊂B then  P(A)≤ P(B)

Q: Let A = {a, b}, B = {x, y}, C = {x, z}. а) (6.1 #32b) Find P(A x B). a

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Q: 21. Let V1 = 1 0 -1 V2 H " V3 = 0 {V1, V2, V3} span R4? Why or why not? 1 0 0 . Does

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Q: Disprove: X={r1, 12} iff V, (z E X +x=VI=T2)

A: To do: Disprove the statement…

Q: b) Find 4°f(x) if f(x) = (3x+1)(3x+4)(3x+7) ... (3x + 19) %3D

A: We will answer the first question only as we don't answer multiple question at a time. Please…

Q: Supppose that X ~ N (2; 3). Find P (1 &lt; X &lt; 4).

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Q: (9) Let P, Q, R be (a) (¬P VQ) (b) (P mathematical statements. Negate the following statements.…

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Q: 5. /(들+ 4) dt + 4t3 ) dt is -+ t+ + C, b.는+ t® + C,c.는+t+ + C а.

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Q: Let x = (m , 1 , 0,-2)", m > 0 and ||x||2 = V30, then m = Select one: о а. 4 O b. 6 O C. 7 O d. 5

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Q: Let X=(1,0, – 1,- /2)'. Then, ||X||, = Select one: а. -V3 O . 2+V2 C. -V2

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Sequence and Series

A sequence is defined as a collection of things. Series is defined to sum the things one by one in the sequence.  It was invented by German mathematician Carl Friedrich Gauss.