Show that 1 – R1.23 = (1 – r12²) (1 – r13,22 ) Deduce that (i) R, 23 2r,2, (ii) R? = r12² + r13², if r23 = 0 1.23

Q: him Z Q3. Show that 20Z does not exist.

A: The given problem is to show the given complex limit does not exist.

Q: (5) 7(3k – 1)² +26(3k – 1)–8

A: On simplifying the above expression,we get

Q: Q7. Show that 2F₁ (1,2; 1; -x) = In(1+x) x

A: Step 1:Step 2:Step 3:Step 4:

Q: Suppose P(A) = 0.48 and P(B) = 0.62. Can A and B be mutually exclusive? Why or why not.

A: We know that, mutually exclusive events are  events which can not happen at the same time.

Q: Find for 07/8 dr de dr de || 7/8 = 3.

A:

Q: Let P(A) = 0.6 P(B)= 0.2 and P(AUB)= 0.7 Find P(AB) 4

A:

Q: 5 y 4

A: The order of surd is indicates the index of root to be extracted. For example: n√(x) here n is…

Q: Solve by Mathematical Incluction that all n2l.

A:

Q: Assume that n / 7 = q R3. What is (3n + 4) / 7

A: Givenn/7 = qR3n = 7qR3

Q: (1) n=2

A:

Q: 2.54. If A and B are mutually exclusive, P (A) = 0.37, and P(B) = 0.44, find (a) P(A'); (b) P (B');…

A: Given that A and B are mutually exclusive events then P(A or B)=P(A)+P(B) P(A)=0.37 and P(B)=0.44…

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: What is the order of in GL2(R)?

A:

Q: n1 = 55 and n2 = 65  p1 = .7 and p1 = .6.  Ho:(p1-p2)=0 against Ho:(p1-p2)>0 using a=.05

A:

Q: Let ag = 2k + 1. %3D 30 Find ak k=1

A:

Q: Evaluate p = 12 || x₁ + x2 n₁ + n₂ for x₁ = 2, X₂ = 15, n₁ = 53, and n₂ = 34. (Round to four decimal…

A:

Q: Wht is the sum of this 8.1 - 3.1 x 2.1 + 0.4

A:

Q: Find n(A)   A= {1/2, -1/2, 1/3,- 1/3,......1/10, -1/10}

A: Compute n(A) as follows.Assume a set B with 20 elements.B = {1,−1, 2, −2, 3, −3,......10, −10}.

Q: (a) Show that if (a,342) = 171 and (b, 342) = 171 then (a+b,342) = 342. %3D %3D (b) Show that if (a,…

A:

Q: Q2. P(A) = 0.42, P(B|A) = 0.66 and P(B|A’) = 0.25. Find the following – P(A’), P(B’|A), P(B’|A’),…

A: We have given information, P(A)=0.42 PB|A=0.66 P(B|A')=0.25

Q: Evaluate the following 5s L (8 – 2)2 -1 -

A:

Q: 5. Show that 1.2+2·3+3.4+...+ (n − 1)(n) = (n³ − n)

A:

Q: (1,2) D (1.1) x+3y=7 (4.1)

A: Step 1: the distance between two points is d2=√((x2-x1)2+(y2-y1)2) Step 2: find the distance of all…

Q: L-1 if (24/ ((5-7)²-9) 1 ;)} What's the value of a*c? = atbect senh(3t). =

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Q: (1+a-c), (c) ₂F, (_n,‚a+n;c;1)=(-1)" !

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Q: Find x. A (2x – 15)* (2x 15)° - C

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Q: 1 Evaluate dz . +=11.0 (z – 9.0) (2 + 144)?

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Q: 3. What is the value of ? B (9 - 40)" (2t - 3) A D

A: We know thatangle measure=arc measure

Q: Show that E(r(r + 1) =- n(n + 1)(n + 2), n E N.

A: We have to show that ∑r=1n(r(r+1))=13n(n+1)(n+2)           ∀n∈ℕ

Q: 13D 43. If a > 1 and b < 0, then 1-101 (A) (B) 1 9 (a) (D) b(a+1) (E)

A:

Q: If RS = 32.5 and QS = 65.8, find QR. %3D R

A:

Q: Find I(3/2), I(-1/2), and I(-3/2) in terms of n

A: Γ 32=∫0∞t32-1e-tdt=∫0∞t12e-t=0.282π

Q: 15. For Sg, find (12)(245)?

A: Topic!  Permutations of Group.