[1 2 [1 2 [1 2 01 Q13: If A = 1 1 0 1 4 ol 3 B = 1 1 -1 l2 2 2 and C = 1 1 -1 Show li 1 1 that AB = AC but B C

Q: 2. Find an explicit formula for аn 3 За,-1+ 10ар-2 and ao %3D 0, ај 3D 7 An where

A: The solution is given as

Q: 1. If x=27-3k and y = i +5j -4k, express each of the following in terms of i, j, k b) 2(3x+y)-3(4y…

A: Given x→=2i→-3k→ & y→=i→+5j→-4k→To write expression in terms of i→,j→,k→:

Q: Find A V Al2) v Al3] , given [1 0 01 A = |1 0 1 lo 1 ol

A:

Q: 3 x 3 boyutlu A bir matrisi aşağıdaki denklemleri sağlasın: A 2 = A 3 = 3 A 0 = 0 To o 1° P = |0 1 1…

A:

Q: EX.2.48: Nine people are going on a skiing trip in 3 cars that hold 2, 4, and 5 passengers,…

A: Total People = 9 Cars can hold 2, 4 and 5 passengers respectively Possibility of sharing the cars…

Q: - the following sys 2z = 1 Bz = 3 az = b

A:

Q: 2eln In cos 2t 8 + 2 None of the choices Option 2 2s s2 – 2 s2 – 2 Option 5 Option 3

A: This question is based on Laplace transform.

Q: 5. Use Taylor's theorem to write down an explicit formula for R, (1). Conclude that R, (1) + 0, and…

A:

Q: 9. Prove L'S 25+1 Cs+2)?(S-1)2. %3D

A: Consider F(s) = 2s+1(s+2)2(s-1)2                            (1) Let 2s+1(s+2)2(s-1)2 =…

Q: [2 1] Q2) Assume A = |1 3 L3 4] [2 4 6 4] ㅋ 4 and B = 13 show that (AB)' = B' A'

A: Solution: The objective is to show that the given relation

Q: Answer the following question accordingly: a) Let A=|2 3 -1 3 a and B-l= where %3D 2 5 a ato and a $…

A:

Q: 1. Given: m |l n, 2l = 23 Prove: a | b 21 3 Proof:

A:

Q: Q1(i) Prove that 1 1 1 + 2n²+1 V2n2+2 V2n2+n]

A: To prove: lim 12n2+1+12n2+2+.........+12n2+n=12

Q: 1 (2r + 1)(2r + 3) 6 2(2N+ 3) 1 1 Use the method of differences to show that s=1 2N 1 1 Deduce…

A:

Q: 3 6 6 0 4 Let C = and D= |2 -6 7 -4 -1 Find DC if it is defined. Otherwise, click on "Undefined". DC…

A:

Q: 1)z = e(4+j3) In(6230") 2) z = (-;)(* 2) z = (-)(r)"

A: (1) The  given complex equation is                                                Z=e4+j3ln6∠30°

Q: [1 2 [1 2 01 Q13: If A = 1 1 0 li 4 ol [1 2 B = 1 1 -1 and C = 1 1 -1. Show l2 2 3 3 2 li 1 11 that…

A: given matrix

Q: S eln (1-t) 1-t - dt ed to you in any form

A:

Q: Q2 24. Evaluate ((1+eun) sec² 6Od:) . lan 0 A. In 4 1 В. In 2 С. е 1 D. In 3

A: Q24.  To evaluate the given integral.

Q: and on setting E = 1+ A, P) = 1/24*(1 +6A+8A²)-'(5 – k + k²) = 1/24* (1 – 6A + 28A² + ...)(5 – k +…

A: Consider the equation               f(E)yk=(E-2)(E-3)yk=(5-k+k2)4k  The homogeneous solution is…

Q: 1 1 u° +C = np " 18 (3t – 5)6 + C 18 9. (3t %3D

A: Consider the given integration as∫3t-45dt

Q: 2) × if it was 2+4i and 2=3-1 3+1 2+i 2 prove that x² + 3xy + y² = 6 =

A:

Q: 4 16 Define T: R? - R° by T(x) = Ax, where A = 1 3 -

A:

Q: 4. a) Prove that i) V=I ii) fx+nh = ! I+A 1+A (1) AK fx. = 4k=0

A: Introduction: In numerical analysis, there are many different operators that are used. These…

Q: 6. (9) a) Ź Ź ?j Corpute following the 3 c)Tをう 4 2 りさris 2 に 」 Jこ こ1

A:

Q: -5 -71 -2 -4 -8 -3 -9 [-1 [3 -2] t A = v = |1 w = -1 and x = 1 -3 5 1 4 v in N(A)? Type "yes" or…

A:

Q: Given: <1 = <2;<4=<5 What can you prove about PQ and RSI Be prepared to give your…

A: Given: ∠1=∠2, ∠4=∠5 We know that in a triangle if two angles are equal then there corresponding…

Q: Consider the following three series: 00 (1) 22%3D 1 (II) 4"- 1 (I) 2=1n+19 Which one of the…

A:

Q: 2 1.5 0.6 09 1.2 Reason for similarity?i * SSS- * SAS- H AA 1 NNS

A: SSS (Side-Side-Side) SSS Similarity Theorem: If all three pairs of corresponding sides of two…

Q: If A is a 2 x 2 with det(A) = 3, then det(4A1) = %3D

A: det(A-1)=1det(A) det(4A-1)=4ndet(A-1) where n is the order of the matrix.

Q: 21 32 24 28 A) Yes, because of the AA ~ Theorem. B Yes, because of the SAS ~ Theorem C Yes, because…

A:

Q: Z1 is complementary to 2; 2 is complementary Given: 2 B 3 A E to 23 Prove: BD || AE

A: Prove that BD∥AE.

Q: Which of the following statements are correct? (Select all that apply.) 1 %3D ga-b %3D (1+ a*)…

A:

Q: Name the two lines and the transversal that form each pair of angles.

A: A transversal is defined as a line that cuts through two lines.

Q: HW KLX) = 2x+5 7 -1. Find ke-²¹ (x) 2. Prove by kok orklok

A: Let's find inverse function.

Q: x, and x, in terms of t.) 2 1 -1 1 1 -1 1 2 1 2 2

A:

Q: Z1 and 22 are complementary Z3 and Z1 are complementary ВС | DE Given: Prove: A 1 3 D E

A: Given: ∠1 and ∠2 are complementary.∠3 and ∠1 are complementary.

Q: 2) × 2+4i 3+1 and 2=3-1 2+i 2 prove that x² + 3xy + y² = 6 if it was

A:

Q: Q4: 1- Prove that (1– i)? + (1+ i)² = 0 . %3D 2- Put in the form a + ib ((1+ i)²)² - ((1- i)²)².

A:

Q: (a) Compute /(2) dr, given that f(b) 3 and that | af'(a) dr b(1 + f(-b)). (b) Computei (2) dz. given…

A:

Q: 1. (a) Suppose that x1 = -5, x2 = 36, x3 = Calculate the following quantities: 4, and y1 = -7, y2 =…

A: Hello. Since your question has multiple parts, we will solve first question for you. If you want…

Q: 3. Given 1 1 -j -1 j A = 2 1 -1 -1 -1 -j] where j= -I. (a) Calculate |||1, || 4||2, and ||||p. (b)…

A:

Q: Evaluate: (- +2 e + 4" – 7) dr =, +4* – 7) dr %3D | In(x) + 2e2 4* - 7x +C In(4) - - O In(x)? +e2…

A: We have to find the integral.

Q: (c) Derive the following formulae (i) n(n+ 1) r = r=1 n(n+ 1) (2n + 1) 6. [=1 (ii) n(n+ 1)]2 2 r=1

A: A sequence is referred to be in arithmetic progression when the common difference between two…

Q: 0 1 0 0 -4 4 8. 2. D = -1 -1 -3 0. 0. 0. Z = 0 0 0 . 0 0 0 0 . 26. BA 30. AZ 27. CD 31. AI 25. AB…

A:

Q: Derive the following formulae (i) (ii) (iii) Σ Π r=1 έρ r=1 = Σμ r=1 r= n(n+1) 2 n(n + 1) (2n + 1) 6…

A:

Q: 24 1 a) Evaluate J x-8xy+16y² dxdy=? 2

A: Given that the double integral  To find:- solve the double integral

Confidence Intervals

When we calculate intervals in probability and statistics, it can be simply termed as finding out a confidence interval. The confidence interval is usually calculated from the data set which is observed. The value of the parameter that needs to be calculated is present here only.