QA Evahate 1- fa ++ In(2)x

Q: Let 21 = 2+ j3 and z 4 j5. Evaluate

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Q: 3 = adj A. If |A| = - %3D

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Q: Prove by contrapositive: if x is odd then x²+3x+5 is odd

A: Concept: Contrapositive method: A conditional statement's contrapositive is built through negating…

Q: Proved Ax (BNC) = (AX B)n (AXC) %3D

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Q: Hiw.S Let Asitij-zk, B=-i-kandc=zituj-zk finds A-(2B-c) 4-2AX3B saCAXB).c 6- Ax(Bxc)

A: Given that: A=i+j-2kB=-i-kC=2i+4j-2k NOTE: As per our answering guidelines, we can only answer 1…

Q: (b) Show that o = 2[Rx(0) - Rxx(0)] XX

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Q: What is the coefficient ot x" in (x+3) '9? What is the coethicient et x? in the expanson ot lx +2) 4…

A: Binomial theorem expantion

Q: show that (ex1 )^x2 = e^(x1 x2) = (ex2)^(x1 ) for any numbers x1 and x2.

A: In order to prove the equations:

Q: -6 B) [ x In(x) 12

A: First I have used the property of logrithmic and made the integral easy and then by substitution…

Q: Given: 5(x + 2) = -3x - 6 Prove: x = -2

A: 7

Q: so-Z of what is 21

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Q: Let, a, = 3, a2= 4 and for n2 3, a,= 2an-1+ an-2, express a, in terms of n. %3D

A: we have the nth term of A.P is given by  an=a+n-1d here,  a=3, d=4-3=1an=3+n-11=2+n we get,…

Q: 2. Let, a1 = 3 and for n > 2, an 2an-1+1, express an in terms of n.

A: As per our guideline we are supposed to answer only one asked question.kindly repost other question.…

Q: 2. Find x in b = ax if a=23 and b=368. Reply in this format: 1. q = r = 2. x =

A: The given expression is: b=axwhere:a=23        and       b=368

Q: 3. Let, a1 = 3, a2 = 4 and for n > 3, an = 2an-1+an-2 – 5, express an in terms of n.

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Q: Let, a1 = 3, a2 = 4 and for n > 3, an = 2an-1+an-2 + n², express an in terms of n.

A: In this question, we solve the recurrence relation  in terms of n an=2an-1+an-2+n2witha1=3a2=4

Q: 7x? x lif -<x< TY½ fow if -<x<T% if 计 T6exesy X< 37 3.

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Q: b22 Such that/2/-1E andArg 4.

A: We find complex number

Q: -a = Y express L and K as expressions of

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Q: Determine whether the statement is true or false. 1 dr In (8) x2 -

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Q: A = 13 ;Prove A2 - 5A = 21

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Q: (27) Let X = P(2) and )E(5-5x) finc

A: Given X≈Pλ That is, EX=λ

Q: To show that r - 1= In(r-r+ 1) has at least two different positive root in R. 6.

A: We need to analyze the roots of the equation x-1=lnx2-x+1. This equation can be re-written as…

Q: 3. Let, a1 = 3, a2 = 4 and for n 2 3, an = 2an-1 + an-2 -5, express a, in terms of n. %3D

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Q: What is/are X-value(s) in ex2-3x+2)= 1? 1 (2,1) none of these O O

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Q: 2 13059, Σxy - 20493, and r- 0.

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Q: Let, a1 = 3, a2 = 4 and for n > 3, an = 2an-1 +an-2 +n², express an in terms of n. %3D

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Q: 3. Let, a1 = 3, a2 = 4 and for n > 3, an = 2an-1 + an-2 - 5, express an in terms of n.

A: We will solve the problem using recurrence relation

Q: 31 Let A = B = 0 2 -10 If X'B = A, then X= 0 2

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Q: Q No 4 Evaluate (a) S 3x+4x+16x+20x+9dx (x+2)(x²+3)²

A: NOTE- I HAVE ANSWERED FIRST QUESTIO FOR YOU. IF YOU WANT THE SOLUTION OF REMAINING QUESTIONS THEN…

Q: Let, a1 = 3, a2 = 4 and for n > 3, an = 2an-1+an-2 +n², express an in terms of n.

A: a1=3, a2=4 n≥3; an=2an-1+an-2+n2 First from the given, the given values shows that the terms are in…

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

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Q: L) Prove that (3-2)(x+2) = 3 +21 iFitwas

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Q: Let X~N(3,0²). Suppose that P(3<X<6)=0.4 · find P(X<0) ?

A: Given: X~N3, σ2 and P3&lt;X&lt;6=0.4.

Q: 20. (gof)(x) and it's domain.

A: Topic = Functions

Q: Given: 5(2x – 8) = 30; Prove: x = 7 -

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Q: Let, a1 = 3 and for n > 2, an = 2an-1 +1, express an in terms of n. %3D

A: We will find out the required expression in the term of n.

Q: 2. Let, a1 = 3, a2 = 4 and for n > 3, an = 2an-1+an-2 + 5n, express an in terms of n.

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Q: Let, a1 = 3, a2 = 4 and for n 2 3, an = 2an-1 +an-2 – 5, express an in terms of n.

A: We will first find the roots of characteristic equation and write general solution of homogeneous…

Q: Find thenumber of terms common to the two A.P'

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Q: 7. f(t)=3e" cosh (In 21) -2t in two ways.

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Q: Find adj (A). -1 -2 -3 -41 1 Let A = 3 6 1

A: Given the matrix

Q: Consic and b whose divisic demor exist r

A: let R=ℤ-2 function is defined as da+bx=a2+b2 and dxy=dxdy now, for x,y∈ℤ-2  xy-1∈ℚ-2 then, for s,t∈ℚ…

Q: 0. Prove that (i) |4' ||, =||4||,, and (ii) ||4' A|| -||4|-

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Q: 9o = 1, In = In-1 + 2gn-2 + + ngo-

A: Given: g0=1 gn=gn-1+2gn-2+.....+ng0

Q: 2. Use prove by contrapositive to show that: (For real numbers a, b, c) If (a – b)² + (b – c)² + (c-…

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Q: y = In 7+4x 7-4x %3D 28 (7 + 4x) (7-4x)

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Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.