Given A 5 0 -1 2 1-1 4 0-2 -21 1 %D -3 3 2 o 4 -3 @Find det(A) Find det (B) O Find det (4A

Q: -6 1 1 1 Let D = 3 and E = 1 5 -4 Find -5D- 2E. -5D - 2E %3!

A:

Q: 12 Given A= 4 3 then 1 -2 -5A-1- -4 3 -1 2 -5A-1= O b. 4 -3 3 -2 -5A-1 C. -4 1 -3 2 -5A-1= Od. 4 -1…

A: A=1243To find:-5A-1

Q: a b -2a If det d e f -3, evaluate det Sb 8 c+4b -2d -2g Se Sh f+4e +4h

A:

Q: P-4 9p+ 36 6x + 24 4) 6x + 48 p+4 9. x* + 2x + 1 x* + 9x + 8 P+6 30р A) p-8 B) P+6 x+4 B) x+1 A) 1…

A: topic:- simplification of algebra

Q: 2) -2cos 0 = V2cos esin e– 3cos e Vzcos 5π π3π A) 6 ' 2 2 47t T, 3 B) {0, 3 C) n3n 3n D) { 4 2 4 2

A: Given: -2 cos θ=2cos θ sin θ-3 cos θ

Q: 2 2 2n^ (1771) and B- (1 ²51) Find -1 5 2 = -3 6 3 9/ 0 6. a) Given A =

A:

Q: 1 3. Find L'{- S S-3 -} Give table number. S-3 s +36 (S- 3)² +36'

A:

Q: 2 (s-2) 5 1 -2t 3 .a O 4.2t .b O t4e 2t .c O 6. 1 t4e2t 12

A: Thus is a question of inverse laplace transform we can find the solution by applying the standard…

Q: Step 1: = Step 2: + 3(3) - 7 + 8 2 Step 3: = 5(3)-7 +8 Step 4: = 45-7+8 31 Step 5: = 3 + 8 Step 6: =…

A: In this question we have to find which step has the mistake.

Q: Discuss following series : 3. +. 4 4 (i) +... o (x > 0) (n+1)" x" (ii) E 2 33 3 3 (iii) 12 1 44 4 +.…

A: We have to find the nature of series.

Q: ( a ) Ση-1 (b) En=2 n7-1 15n-2 (c) En=1 11n+3 1 (d) Σn1 n14 (-1)" (e) En=1 7n+4

A:

Q: 1 0 If A = 1 1 then A-1 0. -1 1 0. 1 0. 2 2 (A) -1 -2 (B) -1 1 -2 (C) -1 -2 1 -1 1 -1 2 (D) -1 -2…

A:

Q: *dx 2x- In Ixl+ C 1 x² - In Ixl+ C | 2x 4 In Ixl+ C x² – 4 In Ix| + C O A В E None of the Above

A:

Q: e2-s L-1 (5(5²-53) O [(-1/3) + e^(4(t-1))/3] e^2 U(t-1) O [(-1/3) + e^(3(t-1))/3] e^2 U(t-1) O None…

A: We have to find the inverse Laplace transform of the above expression.

Q: 0.094 Part: 1 /3 Part 2 of 3 A male student, given that the student has aid. P(male student, given…

A: We have to find given probability.

Q: 1 2] then 3 4 Given A = -4 2 -2A-1= O a. %3D 3 -1 1 -2 -2A-1- Ob. -3 4 4 -2 -2A-1- %3D -3 1 C. -1 3…

A:

Q: 19. According to Table B, P (z < -1.7) is a. 0.0446 b. 0.9876 c. 0.0221 d. 0.025

A: 9) We need to calculate, P(z&lt;-1.7)

Q: -2 -4 0 0 2 1 -2 0 4. Show all steps. 0 0 3 2 3 -3 4 2. Find 1 |-2 3 4 5

A:

Q: 38 4. Find L-1[e+7)]. '(2s+7 s2+16 5. Find L-') 6. Find C-1e (s–3)(s+1) 7. Find L-1 24e-5 82-9

A:

Q: a. b. INGIN IN C. + S (S-1)² e35 + 5-1 e-3s S 5+1 d. None of the above L{2+ (t-3)et-3 U(t-3)] = +

A: Consider:  L2+t-3et-3 Ut-3=L2+Lt-3et-3 Ut-3 Now, L2=2L1=2×1s                      since L1=2s So,…

Q: 1. (C"B)A" 3 A = -1 B = -1 4 C = 1 2. tr(4ET – D) 1 1 1 2 6. 1 3 D = -1 1 E = -1 1 3 2 4 4. 3

A: To evaluate the given matrices.

Q: 3. Suppose that ar = -2 and Sbe 25. Find the value of -2 and Ebe k=1 k=1 10 b. (b — За;) a. k=1 10…

A: a) We can factor out 1/4 since it does not depend on k. Then plug the value of sum of a_k.

Q: series 4२ 0 2+ 2 2" Ch!j2 (2ns!

A:

Q: 5. 4 0 3 -3 2 A = B = 4 -1 3 0 -3 -2 1 1 0 0 - [68] D = E = 2 F = 0 1 0 -- 0 0 1 -- --| -4 -2 -1 2 1…

A: See the attachment

Q: A = A) -30 1 0 0 0 1 0 0 0 3 2 0 0 4 1 3 0 3 3 4 4 2 1 1 23 B) 30 USING PROPERTY 9, FIND DET A C)…

A:

Q: e2-s - L-1 = -3), O [(-1/3)+e^(3(t-1))/3] e^2 U(t-1) O [(-1/3)+e^(5(1-1))/3] e^2 U(t-1) O…

A:

Q: 1 X1) Suppose a = 3. 4 5 1 and B 3 4 Find 5 4 1 6. 6. 1 a) a oB b) (a • B)-1 c) a-1 oß-1

A:

Q: 1 2 Given A= 4 3 then 1 -2 -5A-1= O a. -4 3 -1 2 -5A-1= Ob. 4 -3 3 -2] -5A-1= C. -4 1 -3 2 -5A-1=…

A:

Q: If ln a=2, ln b=3 and ln c=5 evaluate the following: a) ln(a^-4 /b^2c^3) = b)ln √b^-3c^2a^4 = c)…

A: Given,           lna=2 , lnb=3 and lnc=5

Q: 1 Given: E = 3 -1 [-2 2 01 2, find E1. 3 -2] 2 -1 11 a. -2/3 -5/3 2 c. nonsingula -1] 4/3 -5/3 b.…

A:

Q: [1_0 3 A = 1 -2 L3 -2 1 O A³ – 3A² – 10A + 121 = 0 O A³ – 10A² + 2A – 121 = 0 A³ + 12A² – 2A – 101 =…

A: Given

Q: Identify the two series that are the same.

A: We have to find which series are same. We have given series…

Q: 2 1 A = Given then 3 4 2 -1 5A-1 O a. %3D -3 4 4 -1 5A-1 %3D Ob. b. -3 2 -2 1 3 -4 5A-1 -2 3 54-1…

A: Given A=2134We know that for A=abcd then A-1=1ad-bcd-b-ca

Q: Evaluate L-1 24. S (s-3)²+8-

A:

Q: 2" (a) 3 3n+1 (c) E(-1)"; 4n n=1 (b) 3+5n² (4) E n+ n2 n=1 n=1

A:

Q: 28-3 s+s-2 3. 2¹{F(s)} for F(s)=-

A: 3.

Q: Find the third term of: E33-1)n+1 (z+3)2n (2п)! Σ n=D

A: This is a problem related to series expansion and calculating the term of it. Since series is…

Q: 11 1. 0 2 00 2 Find det(A) (14) Let A 3 00-1 (a) 0 (b) 6 (c) -6 (d) -2 (e) 2

A:

Q: 1 L {(e-3* – 2e"}² } 4 4 s + 6 s - 6 S Select one: True O False +

A: here L(e-3t - 2e3t)2  so L(e-6t + 4e6t - 4) so its transform is  1/s-(-6)  - 4/s  + 4/s-6…

Q: 1 3 -1 Given A =-1 3 &C 3 1solve for B. -1] -1 0. Where 2A + 2B C -3 -4 -5 -11 -1.5 -2 2.5 -2.5 -5.5…

A: We have to find matrix B.

Q: п+1 а) Σ п+1 (-1)"*1 п-1 00 п (-1)" b) E 3" n=1 п 00 п (-1)"(5n–1) Σ 4n+1 n=1

A: In this question we have to determine whether the series is converges or diverges.

Q: [1 0 5 [1 [1 Го 1 -7 7 0 E2E A → 0 E3 E2 EA = 0 1 0 |A → 1. 0 EA → |0 -4 1 -5 -7 4 1 7 E1 E2 E3 E4

A: Here, E4E3E2E1A=-7760-5-7007

Q: es L-1 (s- 1)(s +2)/ %3D O (1/3) e^t-(1/3)e^(-2t) O (1/3) e^2t-(1/3)e^(-2t) O [(1/3) e^(t-1)-(1/3)…

A: Note: Our guidelines we are supposed to answer only one question. Kindly repost other question as…

Q: 1. a. N-1     b. N-1N

A: Hey, since there are multiple questions posted, we will answer first question. If you want any…

Q: (2s+5)e-2s i. s²+5s+6 se-35+2 ii. s² +2s+2

A:

Q: 14 Given A= 3 2 then -1 4 -10A-1 a. 3 -2 2-4 -10A-1 b. %3D -3 1 -2 4 -10A-1 c. 3 -1 1 -4 -104-1 Od.…

A:

Q: 0 1 0 2 1 and C%D -1 Given A= 2 -1 calculate (A + B)C, if possible. 4 1 3 -24 3 1 O A. 13 -5 19 8. O…

A: Given: A=-130241 B=0213-24 C=012-131 Determine the sum of the matrices A and B.…

Q: 1. e* = 17.54 3. 2e¹x = 15 5. e* - 1 = 6 2. e²x - 5 = 14 4. ex+15=0 6. e²x + 5 = 0

A: See this solution in below

Q: For a GP, 1/2, 1/4, 1/8, … the sum of the first term S1 = 1/2, the sum of the first two term S2 is…

A: Given,Series is in Geometric Progression12 , 14 , 18 , 116 , 132 , .....

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.